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Evaluation of frictional suspension system performance in three-piece bogie by the multi-body-system approachJun 17 2019The nonlinear damping characteristics of friction wedges in the secondary suspension of a freight bogie are investigated considering unidirectional contact and non-smooth frictional forces. In the proposed MultiBody System model, each wedge has six Degrees ... More

A Unified View of Transport EquationsJun 15 2019Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subject ... More

Ultrasonic nodal chains in topological granular metamaterialsJun 14 2019Three-dimensional (3D) Weyl and Dirac semimetals garner considerable attention in condensed matter physics due to the exploration of entirely new topological phases and related unconventional surface states. Nodal line and ring semimetals on the other ... More

Anti-plane surface waves in media with surface structure: discrete vs. continuum modelJun 14 2019We present a comparison of the dispersion relations derived for anti-plane surface waves using the two distinct approaches of the surface elasticity vis-a-vis the lattice dynamics. We consider an elastic half-space with surface stresses described within ... More

Noether theorem for action-dependent Lagrangian functions: conservation laws for non-conservative systemsJun 13 2019In the present work, we formulate a generalization of the Noether Theorem for action-dependent Lagrangian functions. The Noether's theorem is one of the most important theorems for physics. It is well known that all conservation laws, \textrm{e.g.}, conservation ... More

Nonlocal integral thermoelasticity: a thermodynamic framework for functionally graded beamsJun 12 2019An effective nonlocal integral formulation for functionally graded Bernoulli-Euler beams in nonisothermal environment is developed. Both thermal and mechanical loadings are accounted for. The proposed model, of stress-driven integral type, is shown to ... More

Chiral metasurface formed by 3D-printed square helices: a flexible tool to manipulate wave polarizationJun 12 2019Transmission of linearly and circularly polarized waves is studied both theoretically and experimentally for chiral metasurface formed by an array of metallic square helices. The helical particles of the metasurface are constructed of rectangular bars ... More

Magnetic Tip Trap SystemJun 11 2019We report a detailed theoretical model of recently-demonstrated magnetic trap system based on a pair of magnetic tips. The model takes into account key parameters such as tip diameter, facet angle and gap separation. It yields quantitative descriptions ... More

Command of Collective Dynamics by Topological Defects in Spherical CrystalsJun 10 2019Directing individual motions of many constituents to coherent dynamical state is a fundamental challenge in multiple fields. Here, based on the spherical crystal model, we show that topological defects in particle arrays can be a crucial element in regulating ... More

Two toy models for the motion of a leaky tank carJun 09 2019I present two toy models for the motion of a tank car as fluid drains out of an off-center opening, based on replacing the fluid with particles. No knowledge beyond simple Lagrangian mechanics is required. The first toy model is solved analytically and ... More

Effective Local Permittivity Model for Non-Local Wire MediaJun 09 2019A local permittivity model is proposed to accurately characterize spatial dispersion in non-local wire-medium (WM) structures with arbitrary terminations. A closed-form expression for the local thickness-dependent permittivity is derived for a general ... More

An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media with Arbitrary TerminationsJun 09 2019A simple analytical model based on the transmission-matrix approach is proposed for equivalent wire-medium (WM) interfaces. The obtained ABCD matrices for equivalent interfaces capture the non-local effects due to the evanescent transverse magnetic (TM) ... More

Aging two-state process with Lévy walk and Brownian motionJun 07 2019With the rich dynamics studies of single-state processes, the two-state processes attract more and more interests of people, since they are widely observed in complex system and have effective applications in diverse fields, say, foraging behavior of ... More

Variational formulation of the ideal Reynolds averaged equationsJun 07 2019The system of equations for turbulent barotropic flows is composed of the mass conservation law, the equation of average momentum and the equation for the Reynolds stress tensor evolution. The momentum evolution equation consists of a non-dissipative ... More

Shear-induced contact area anisotropy explained by a fracture mechanics modelJun 07 2019This paper gives a theoretical analysis for the fundamental problem of anisotropy induced by shear forces onan adhesive contact, discussing the experimental data of the companion Letter. We present a fracture mechanicsmodel where two phenomenological ... More

Shear-Induced Anisotropy in Rough Elastomer ContactJun 07 2019True contact between randomly rough solids consists of myriad individual micro-junctions. While their total area controls the adhesive friction force of the interface, other macroscopic features, including viscoelastic friction, wear, stiffness and electric ... More

Control of surface states of planar metamaterial based on moire effectJun 06 2019The possibility of continuous tuning of the spectral properties of two types of planar metamaterials based on the moire effect by changing their geometric parameters is demonstrated both experimentally and numerically. It is shown that for a one-dimensional ... More

Fractional Burgers wave equationJun 05 2019Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media, divided into two classes according to model behavior in stress relaxation and creep tests near the initial time instant, are coupled with the equation of motion ... More

Maxwell's equations are universal for locally conserved quantitiesJun 04 2019A fundamental result of classical electromagnetism is that Maxwell's equations imply that electric charge is locally conserved. Here we show the converse: Local charge conservation implies the local existence of fields satisfying Maxwell's equations. ... More

Natural Hamiltonian formulation of composite higher derivative theoriesJun 04 2019If a higher derivative theory arises from a transformation of variables that involves time derivatives, a tailor-made Hamiltonian formulation is shown to exist. The details and advantages of this elegant Hamiltonian formulation, which differs from the ... More

Choke flutter instability sources tracking with linearized calculationsJun 04 2019Purpose :The choke flutter is a fluid-structure interaction that can lead to the failure of fan or compressor blade in turbojet engines. In Ultra High Bypass Ratio (UHBR) fan, the choke flutter appears at part speed regimes and at low or negative incidence ... More

The Nosé-Hoover, Dettmann, and Hoover-Holian OscillatorsJun 01 2019To follow up recent work of Xiao-Song Yang on the Nos\'e-Hoover oscillator we consider Dettmann's harmonic oscillator, which relates Yang's ideas directly to Hamiltonian mechanics. We also use the Hoover-Holian oscillator to relate our mechanical studies ... More

Understanding the friction of atomically thin layered materialsMay 31 2019Friction is a ubiquitous phenomenon that greatly affects our everyday lives and is responsible for large amounts of energy loss in industrialised societies. Layered materials such as graphene have interesting frictional properties and are often used as ... More

Kirchhoff's Law Can Be ExactMay 30 2019Jun 03 2019Kirchhoff's current law is thought to describe the translational movement of charged particles through resistors. But Kirchhoff's law is widely used to describe movements of current through resistors in high speed devices. Current at short times involves ... More

Scattering of finite-size anisotropic metastructures via the relaxed micromorphic modelMay 29 2019The conception of new metamaterials showing unorthodox behaviors with respect to elastic wavepropagation has become possible in recent years thanks to powerful dynamical homogenization techniques. Such methods effectively allow to describe the behavior ... More

On the comparison of three numerical methods applied to building simulation: finite-differences, RC circuit approximation and a spectral methodMay 29 2019Predictions of physical phenomena in buildings are carried out by using physical models formulated as a mathematical problem and solved by means of numerical methods, aiming at evaluating, for instance, the building thermal or hygrothermal performance ... More

Acoustic Radiation Force and Torque on Small Particles as Measures of the Canonical Momentum and Spin DensitiesMay 29 2019We examine acoustic radiation force and torque on a small (subwavelength) absorbing isotropic particle immersed in a monochromatic (but generally inhomogeneous) sound-wave field. We show that by introducing the monopole and dipole polarizabilities of ... More

The naval battle of Actium and the myth of the ship-holder: the effect of bathymetryMay 27 2019A myth of antiquity is explained with modern science in the context of an ancient naval battle. A legend was invoked by the admiral Pliny the Elder to explain the defeat of Antony and Cleopatra against Octavian at the naval battle of Actium. A fish, called ... More

Riemann solver with internal reconstruction (RSIR) for compressible single-phase and non-equilibrium two-phase flowsMay 27 2019A new Riemann solver is built to address numerical resolution of complex flow models. The research direction is closely linked to a variant of the Baer and Nunziato (1986) model developed in Saurel et al. (2017a). This recent model provides a link between ... More

Transfer matrix method for the analysis of space-time modulated media and systemsMay 25 2019Space-time modulation adds another powerful degree of freedom to the manipulation of classical wave systems. It opens the door for complex control of wave behavior beyond the reach of stationary systems, such as nonreciprocal wave transport and realization ... More

Determination of topological properties of thin samples by the van der Pauw methodMay 23 2019We solve the problem of determining basic topological properties of flat samples by performing measurements on their outer edge. The global maximum of four probe resistances shows a characteristic behaviour, which is dependent on the genus (i.e., the ... More

Shades of Dark Uncertainty and Consensus Value for the Newtonian Constant of GravitationMay 23 2019The Newtonian constant of gravitation, $G$, stands out in the landscape of the most common fundamental constants owing to its surprisingly large relative uncertainty, which is attributable mostly to the dispersion of the values measured for it in different ... More

Lagrangian dynamics of the coupled field-medium state of lightMay 22 2019In the recently introduced mass-polariton (MP) theory of light [Phys. Rev. A 95, 063850 (2017)], the optical force of light drives in a medium forward an atomic mass density wave. In this work, we present the Lagrangian formulation of the MP theory starting ... More

Mathematical-Physics of propagating modes in planar waveguidesMay 21 2019In this paper we present a detailed physical analysis of the formation of the propagation transverse modes in planar dielectric waveguides using a mathematical-physics approach. We demonstrate physically that, at the wavelength scale, the pure stationary ... More

Evaluation of dental implant stability in bone phantoms: comparison between a quantitative ultrasound technique and resonance frequency analysisMay 20 2019Background Resonance frequency analyses and quantitative ultrasound methods have been suggested to assess dental implant primary stability. PurposeThe purpose of this study was to compare the results obtained using these two techniques applied to the ... More

Physics-informed transfer path analysis with parameter estimation using Gaussian processesMay 20 2019Gaussian processes regression is applied to augment experimental data of transfer-path analysis (TPA) by known information about the underlying physical properties of the system under investigation. The approach can be used as an alternative to model ... More

Monitoring cementless femoral stem insertion by impactMay 20 2019The primary stability of the femoral stem (FS) implant determines the surgical success of cementless 15 hip arthroplasty. During the insertion, a compromise must be found for the number and energy of 16 impacts that should be sufficiently large to obtain ... More

Projection-based measurement and identificationMay 20 2019A recently developed Projection-based Digital Image Correlation (P-DVC) method is here extended to 4D (space and time) displacement field measurement and mechanical identification based on a single radiograph per loading step instead of volumes as in ... More

Radiative transfer in half spaces of arbitrary dimensionMay 19 2019We solve the classic albedo and Milne problems of plane-parallel illumination of an isotropically-scattering half-space when generalized to a Euclidean domain $\mathbb{R}^d$ for arbitrary $d \ge 1$. A continuous family of pseudo-problems and related $H$ ... More

Conformal mechanics of space curvesMay 16 2019May 23 2019Any conformally invariant energy associated with a curve possesses tension-free equilibrium states which are self-similar. When this energy is the three dimensional conformal arc-length, these states are the natural spatial generalizations of planar logarithmic ... More

Conformal mechanics of space curvesMay 16 2019Any conformally invariant energy associated with a curve possess tension-free equilibrium states which are self-similar. When this energy is the three dimensional conformal arc-length, these states are the natural spatial generalizations of planar logarithmic ... More

A Proof that Multiple Waves Propagate in Ensemble-Averaged Particulate MaterialsMay 16 2019Effective medium theory describes an inhomogeneous material with macroscopic parameters. To characterise wave propagation through an inhomogeneous material, the most crucial parameter is the effective wavenumber. The most successful methods to calculate ... More

Kramers-Kronig relations beyond the optical approximationMay 15 2019We extend Kramers-Kronig relations beyond the optical approximation, that is to dielectric functions $\varepsilon(q,\omega)$ that depend not only on the frequency but on the wave number as well. This implies extending the notion of causality commonly ... More

On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretizationMay 15 2019In this paper we consider the numerical approximation of systems of Boussinesq-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplectic and Hamiltonian formulations, well-posedness and existence of solitary-wave ... More

Average Transition Conditions for Electromagnetic Fields at a Metascreen of Nonzero ThicknessMay 14 2019Using a dipole interaction model, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen consisting of an array of arbitrarily shaped apertures in a perfectly conducting screen of nonzero thickness. ... More

Average Transition Conditions for Electromagnetic Fields at a Metascreen of Vanishing ThicknessMay 14 2019Using a dipole interaction model, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen consisting of an array of arbitrarily shaped apertures in a perfectly conducting screen of zero thickness. ... More

Serrodyne frequency translation using time-modulated metasurfacesMay 13 2019Temporally modulated metamaterials have attracted significant attention recently due to their non-reciprocal and frequency converting properties. Here, a transparent, time-modulated metasurface that functions as a serrodyne frequency translator, is reported ... More

A numerical model for the peeling of elastic membranesMay 12 2019The adhesive behaviour of biological attachment structures such as spider web anchorages is usually studied using single or multiple peeling models involving "tapes", i.e. one-dimensional contacts elements. This is an oversimplification for many practical ... More

A numerical model for the peeling of elastic membranesMay 12 2019May 18 2019The adhesive behaviour of biological attachment structures such as spider web anchorages is usually studied using single or multiple peeling models involving "tapes", i.e. one-dimensional contacts elements. This is an oversimplification for many practical ... More

Generalizing the Method of Images for Complex Boundary Conditions : Application on the LHC Beam ScreenMay 09 2019This paper seeks to show that the beam screen of the LHC has an important effect on the electric field of the LHC beam, a few tens of sigmas away from its center. To do so, we develop two new methods for finding the effect of a complex conducting boundary ... More

Mutual derivation between arbitrary distribution forms of momenta and momentum componentsMay 08 2019The mutual derivation between arbitrary distribution forms of momenta and momentum components of particles produced in an isotropic emission source are systematically studied in terms of probability theory and mathematical statistics. The distributions ... More

Acoustic force of the gravitational typeMay 08 2019In this paper it was shown that, under certain restrictive conditions, Bjerknes secondary forces are attractive and proportionate to the product of the virtual masses of the two bubbles.

Substrate-Induced Chirality in an Individual NanostructureMay 07 2019We experimentally investigate the chiral optical response of an individual nanostructure consisting of three equally sized spherical nanoparticles made of different materials and arranged in \ang{90} bent geometry. Placing the nanostructure on a substrate ... More

Discussion about Different Methods for Introducing the Turbulent Boundary Layer Excitation in Vibroacoustic ModelsMay 07 2019For controlling the noise radiated from vibrating structures excited by turbulent boundary layer (TBL) it is relevant to develop numerical tools for understanding how the structure reacts to TBL excitation. Usually, the wall pressure fluctuations of the ... More

Parameter-free quantification of stochastic and chaotic signalsMay 06 2019Recurrence entropy $(\cal S)$ is a novel time series complexity quantifier based on recurrence microstates. Here we show that $\mathsf{max}(\cal S)$ is a \textit{parameter-free} quantifier of time correlation of stochastic and chaotic signals, at the ... More

Sensing with the harmonic oscillatorMay 06 2019A system obeying the harmonic oscillator equation of motion can be used as a force or proper acceleration sensor. In this short review we derive analytical expressions for the sensitivity of such sensors in a range of different situations, considering ... More

Sensing with the harmonic oscillatorMay 06 2019May 09 2019A system obeying the harmonic oscillator equation of motion can be used as a force or proper acceleration sensor. In this short review we derive analytical expressions for the sensitivity of such sensors in a range of different situations, considering ... More

Chromatic Aberration in MetalensesMay 03 2019This paper provides a mathematical approach to study chromatic aberration in metalenses. It is shown that radiation of a given wavelength is refracted according to a generalized Snell's law which together with the notion of envelope yields the existence ... More

Topology, geometry and mechanics of strongly stretched and twisted filamentsMay 02 2019Soft elastic filaments that can be stretched, bent and twisted exhibit a range of topologically and geometrically complex morphologies that include plectonemes, solenoids, knot-like and braid-like structures. We combine numerical simulations of soft elastic ... More

A family of higher-order single layer plate models meeting C0z --requirements for arbitrary laminatesMay 02 2019In the framework of displacement-based equivalent single layer (ESL) plate theories for laminates, this paper presents a generic and automatic method to extend a basis higher-order shear deformation theory (polynomial, trigonometric, hyperbolic.. .) to ... More

To square root the Lagrangian or not: an underlying geometrical analysis on classical and relativistic mechanical modelsMay 02 2019The geodesic has a fundamental role in physics and in mathematics: roughly speaking, it represents the curve that minimizes the arc length between two points on a manifold. We analyze a basic but misinterpreted difference between the Lagrangian that gives ... More

Conformal Mechanics of Planar CurvesMay 01 2019It is possible to associate curvature-dependent M\"obius invariant energies with planar curves. They are of some interest because their tension-free stationary states, lacking a length scale, form self-similar curves. As such one would expect these energies ... More

Green Functions, Sommerfeld Images, and WormholesApr 30 2019Electrostatic Green functions for grounded equipotential circular and elliptical rings, and grounded hyperspheres in n-dimension electrostatics, are constructed using Sommerfeld's method. These electrostatic systems are treated geometrically as different ... More

The Noether charges of all analytic Lagrangians associated with a scale invariant actionApr 29 2019Here we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temporal scale transformation of such a system can lead to a symmetry by leaving ... More

Relaxation Tribometry: A Generic Method to Identify the Nature of Contact ForcesApr 29 2019Recent years have witnessed the development of so-called relaxation tribometers, the free oscillation of which is altered by the presence of frictional stresses within the contact. So far, analysis of such oscillations has been restricted to the shape ... More

Statistics of the separation between sliding rigid rough surfaces: Simulations and extreme value theory approachApr 29 2019When a rigid rough solid slides on a rigid rough surface, it experiences a random motion in the direction normal to the average contact plane. Here, through simulations of the separation at single-point contact between self-affine topographies, we characterize ... More

Proceedings of the 42nd Scandinavian Symposium on Physical AcousticsApr 29 2019The 42nd Scandinavian Symposium on Physical Acoustics was held at Geilo, Norway from January 27 to January 30, 2019. It was arranged by the Acoustics and Optics group of the Norwegian Physical Society, and was coordinated by Geir Pedersen and Lars Hoff. ... More

Proceedings of the 42nd Scandinavian Symposium on Physical AcousticsApr 29 2019May 23 2019The 42nd Scandinavian Symposium on Physical Acoustics was held at Geilo, Norway from January 27 to January 30, 2019. It was arranged by the Acoustics and Optics group of the Norwegian Physical Society, and was coordinated by Geir Pedersen and Lars Hoff. ... More

Liquid actuated gravity experimentsApr 29 2019We describe a new actuation technique for gravity experiments based on a liquid field mass. The Characterizing idea is to modulate the gravity force acting on a test mass by controlling the level of a liquid in a suitable container. This allows to obtain ... More

The influence of gravity on the Boltzmann entropy of a closed universeApr 26 2019May 31 2019This contribution inquires into Clausius' proposal that "the entropy of the world tends to a maximum.'" The question is raised whether the entropy of "the world" actually does have a maximum; and if the answer is "Yes!," what such states of maximum entropy ... More

Anisotropic Two-Dimensional, Plane Strain, and Plane Stress Models in Classical Linear Elasticity and Bond-Based PeridynamicsApr 26 2019This paper concerns anisotropic two-dimensional and planar elasticity models within the frameworks of classical linear elasticity and the bond-based peridynamic theory of solid mechanics. We begin by reviewing corresponding models from the classical theory ... More

Experimental demonstration of asymmetric diffraction based on a passive parity-time-symmetric acoustic gratingApr 26 2019Passive parity-time-symmetric medium provides a feasible scheme to investigate non-Hermitian systems experimentally. Here, we design a passive PT-symmetric acoustic grating with a period equal to exact PT-symmetric medium. This treatment enhances the ... More

Electrostatic T-matrix for a torus on bases of toroidal and spherical harmonicsApr 24 2019Semi-analytic expressions for the static limit of the $T$-matrix for electromagnetic scattering are derived for a circular torus, expressed in both a basis of toroidal harmonics and spherical harmonics. The scattering problem for an arbitrary static excitation ... More

Seismic wave shield using cubic arrays of split-ball resonatorsApr 22 2019Metre size inertial resonators located in the ground have been theoretically shown to interact with a seismic wave (attenuation, band gaps) to enable protection of surface structures such as buildings. The challenge for Civil Engineering is to both reduce ... More

Finding NHIM in 2 and 3 degrees-of-freedom with Hénon-Heiles type potentialApr 22 2019We present the capability of Lagrangian descriptors for revealing the high dimensional phase space structures that are of interest in nonlinear Hamiltonian systems with index-1 saddle. These phase space structures include normally hyperbolic invariant ... More

The Effect of Inhomogeneous Dielectric Loading on Transmission Through a Slot in an Infinite Thick Metallic ShieldApr 20 2019Transmission through a slot in a an infinite metallic shield of finite thickness, inhomogeneously loaded with dielectric material, is modeled using an analytical approximation based on the slot being small compared to a free space wavelength. Resonances ... More

Necessary criterion of choosing the energy-momentum tensor and the Lagrange formalismApr 19 2019It is shown that the necessary criterion for choosing the energy-momentum tensor of a physical system is the form of its linear invariant, which should be the lagrangian of this physical system. Examples of energy-momentum tensors that meet this criterion ... More

Comment on "The relativistic Doppler effect: when a zero-frequency ..."Apr 19 2019In the paper "The relativistic Doppler effect: when a zero-frequency shift or a red shift exists for sources approaching the observer, Ann. Phys. (Berlin) 523, No. 3, 239-246 (2011), DOI 10.1002/andp.201000099 by C. Wang the use of an erroneous equation ... More

Alternating strain regimes for failure propagation in flexural systemsApr 18 2019We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler-Bernoulli beams. A fault inside the structure is assumed to propagate ... More

Updating Maxwell with Electrons, Charge, and More Realistic PolarizationApr 18 2019Maxwell's equations describe the relation of charge and electric force almost perfectly even though electrons and permanent charge were not in his equations, as he wrote them. For Maxwell, all charge depended on electric field. Charge was induced and ... More

Updating Maxwell with Electrons, Charge, and More Realistic PolarizationApr 18 2019May 01 2019Maxwell's equations describe the relation of charge and electric force almost perfectly even though electrons and permanent charge were not in his equations, as he wrote them. For Maxwell, all charge depended on electric field. Charge was induced and ... More

Updating Maxwell with Electrons, Charge, and More Realistic PolarizationApr 18 2019May 21 2019Maxwell's equations describe the relation of charge and electric force almost perfectly even though electrons and permanent charge were not in his equations, as he wrote them. For Maxwell, all charge depended on electric field. Charge was induced and ... More

Nonlinear force balance at moving contact linesApr 17 2019The spreading of a liquid over a solid material is a key process in a wide range of applications. While this phenomenon is well understood when the solid is undeformable, its "soft" counterpart is still ill-understood and no consensus has been reached ... More

Quasi-normal modes in a symmetric triangular barrierApr 17 2019Quasi-normal modes (QNMs) of the massless scalar wave in $1+1$ dimensions are obtained for a symmetric, finite, triangular barrier potential. This problem is exactly solvable, with Airy functions involved in the solutions. Before we obtain the QNMs, we ... More

Quasi-normal modes in a symmetric triangular barrierApr 17 2019May 22 2019Quasi-normal modes (QNMs) of the massless scalar wave in $1+1$ dimensions are obtained for a symmetric, finite, triangular barrier potential. This problem is exactly solvable, with Airy functions involved in the solutions. Before we obtain the QNMs, we ... More

High-frequency electromagnetic emission from non-local wavefunctionsApr 17 2019In systems with non-local potentials or other kinds of non-locality, the Landauer-B\"uttiker formula of quantum transport leads to replace the usual gauge-invariant current density $\textbf{J}$ with a current $\textbf{J}^{ext}$ which has a non-local part ... More

Nucleation and propagation of excitation fronts in self-excited systemsApr 16 2019Frictional interfaces exhibits a very rich dynamical behavior due to frictional interactions. This work focuses on the transition between spatially localized and propagating stick-slip motion. To overcome the difficulties related to the non-smoothness ... More

Conformal symmetry breaking and self-similar spiralsApr 15 2019Apr 29 2019Self-similar curves are shown to arise naturally as tension-free stationary states of conformally invariant energies. Planar logarithmic spirals are associated with the simplest such energy, the conformal arc-length, and their remarkable properties follow ... More

Conformal symmetry breaking and self-similar spiralsApr 15 2019Self-similar curves are shown to arise naturally as tension-free stationary states of conformally invariant energies. Planar logarithmic spirals are associated with the simplest such energy, the conformal arc-length, and their remarkable properties follow ... More

An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfacesApr 14 2019We consider a periodic array of resonators, formed from Euler-Bernoulli beams, attached to the surface of an elastic half-space. Earlier studies of such systems have concentrated on compressional resonators. In this paper we consider the effect of the ... More

How does a coin toss? A look under an asymptotic microscopeApr 12 2019Is flipping a coin a deterministic process or a random one? We do not allow bounces. If we know the initial velocity and the spin given to the coin, mechanics should predict the face it lands on. However, the coin toss has been everyone's introduction ... More

Effects of vorticity on the travelling waves of some shallow water two-component systemsApr 12 2019In the present study we consider three two-component (integrable and non-integrable) systems which describe the propagation of shallow water waves on a constant shear current. Namely, we consider the two-component Camassa-Holm equations, the Zakharov-Ito ... More

Electrodynamics of Impressed Bound and Free Charge Voltage SourcesApr 10 2019Consideration is given to the electrodynamics of bound charge and free charge alternating current voltage sources. The bound charge problem is equivalent to the idealized bar electret, which is polarized uniformly parallel to its axis with a permanent ... More

Reconciliation of the Rosen and Laue theories of special relativity in a linear dielectric mediumApr 08 2019The theory of dielectric special relativity was derived by Laue from a fundamental physical basis in Einstein's special relativity and the relativistic velocity sum rule. The Laue theory is experimentally verified by the Fizeau water tube experiment. ... More

Determination of Power of Groove fields under Dirichlet conditions associated with axisymmetric Electromagnetic fieldsApr 08 2019The present paper gives an interaction of electromagnetic waves with a smooth convex tri-angular obstacle and its adjacent wedge regions. We attempt to find the power of groove fields under Dirichlet conditions associated with axisymmetric electromagnetic ... More

Determination of Power of Groove fields under Dirichlet conditions associated with axisymmetric Electromagnetic fieldsApr 08 2019May 24 2019The present paper gives an interaction of electromagnetic waves with a smooth convex tri-angular obstacle and its adjacent wedge regions. We attempt to find the power of groove fields under Dirichlet conditions associated with axisymmetric electromagnetic ... More

The influence of building interactions on seismic and elastic surface wavesApr 08 2019We outline some recent research advances on the control of elastic waves in thin and thick plates, that have occurred since the large scale experiment [Phys. Rev. Lett. 112, 133901, 2014] that demonstrated significant interaction of surface seismic waves ... More

Representation Independent Boundary Conditions for a Piecewise-Homogeneous Linear Magneto-dielectric MediumApr 08 2019At a boundary between two transparent, linear, isotropic, homogeneous materials, derivations of the electromagnetic boundary conditions and the Fresnel relations typically proceed from the Minkowski {E,B,D,H} representation of the macroscopic Maxwell ... More

Equilibria of Pendant Droplets: Spatial Variation and Anisotropy of Surface TensionApr 07 2019An example of capillary phenomena commonly seen and often studied is a droplet of water hanging in air from a horizontal surface. A thin capillary surface interface between the liquid and gas develops tangential surface tension, which provides a balance ... More

Entropy Non-Conservation and Boundary Conditions for Hamiltonian Dynamical SystemsApr 06 2019Applying the theory of self-adjoint extensions of Hermitian operators to Koopman von-Neumann classical mechanics, the most general set of probability distributions is found for which entropy is conserved by Hamiltonian evolution. A new dynamical phase ... More