Acoustic Lattice Resonances and Generalised Rayleigh--Bloch WavesThe intrigue of waves on periodic lattices and gratings has resonated with physicists and mathematicians alike for decades. In-depth analysis has been devoted to the seemingly simplest array system:…G. J. Chaplain, S. C. Hawkins, M. A. Peter et al.·Sep 16, 2024SaveLearn
Crack Dynamics in Rotating, Initially Stressed Material Strips: A Mathematical ApproachThe current study explores the analysis of crack in initially stressed, rotating material strips, drawing insights from singular integral equations. In this work, a self-reinforced material strip…Soniya Chaudhary, Diksha, Pawan Kumar Sharma·Sep 15, 2024SaveLearn
Effective Youngs Modulus of Two-Phase Elastic Composites by Repeated Isostrain and Isostress Constructions and Arithmetic-Geometric MeanA relationship is established between the effective Youngs modulus of a two-phase elastic composite and a known mathematical mean value. Specifically, the effective Youngs modulus of a composite…Jiashi Yang·Sep 15, 2024SaveLearn
The principle of minimum virtual work and its application in bridge engineeringIn mechanics, common energy principles are based on fixed boundary conditions. However, in bridge engineering structures, it is usually necessary to adjust the boundary conditions to make the…Lukai Xiang·Sep 14, 2024SaveLearn
The Law of Closest ApproachIn this work, we introduce the Law of Closest Approach which is derived from the properties of conic orbits and can be considered an addendum to the laws of Kepler. It states that on the closest…M. N. Tarabishy·Sep 13, 2024SaveLearn
Observation of exceptional points in a spherical open elastic systemExceptional points (EPs) are spectral singularities in non-Hermitian systems where eigenvalues and their corresponding eigenstates coalesce simultaneously. In this study, we calculate scattering…Hiroaki Deguchi, Kei Matsushima, Takayuki Yamada·Sep 13, 2024SaveLearn
On Generalizations of the Minimal Complementary Energy Variational Principle in Linear ElastostaticsIt is shown that when the well-known minimal complementary energy variational principle in linear elastostatics is written in a different form with the strain tensor as an independent variable and…Jiashi Yang·Sep 10, 2024SaveLearn
The illusion of acceleration in the retarded Lienard-Wiechert electromagnetic fieldIt is generally assumed that the retarded Lienard-Wiechert electromagnetic field produced by a point particle depends on the acceleration of that source particle. This dependence is not real, it is…Calin Galeriu·Sep 9, 2024SaveLearn
Classical scattering and fragmentation of clusters of ions in helical confinementWe explore the scattering dynamics of classical Coulomb-interacting clusters of ions confined to a helical geometry. Ion clusters of equally charged particles constrained to a helix can form…Ansgar Siemens, Peter Schmelcher·Sep 7, 2024SaveLearn
Physical Modeling of Piano SoundThis paper aims to develop a comprehensive physical model and numerical simulation schemes for a grand piano. The model encompasses various subsystems, including hammer felt, hammer shank, string,…Haifan Xie·Sep 5, 2024SaveLearn
Classical Mechanics from Energy Conservation or: Why not Momentum?It is demonstrated that energy conservation allows for a straight derivation of Newtonian mechanics without an apriori definition of the concept of work. Furthermore it is shown that energy must be…C. Baumgarten·Sep 3, 2024SaveLearn
Thermodynamic pressure and mechanical pressure for electromagnetic mediaBy the mechanical pressure we mean that the pressure in the fundamental thermodynamic equation with the naive form of the electromagnetic work used, while the thermodynamic one we mean that in the…Q. H. Liu·Sep 2, 2024SaveLearn
A Note on the Objectivity (Rotational Invariance) of the Stored Energy Density in Continuum PhysicsThis short note is concerned with the rotational invariance of the stored energy density in continuum physics as a scalar function of a few vectors. A simple derivation is presented for the…Jiashi Yang·Aug 31, 2024SaveLearn
Electromagnetic field near the common edge of a perfectly conducting wedge and a resistive half-planeThe behavior of the electromagnetic field near a common edge of a resistive half-plane and a perfectly conducting wedge is investigated. The possible appearance besides power terms also of…I. M. Braver, P. Sh. Fridberg, Kh. L. Garb et al.·Aug 25, 2024SaveLearn
Theory of perturbation of the magnetostatic field by an anisotropic magnetic toroidThe perturbation of a magnetostatic field by a toroid made of a homogeneous anisotropic magnetic material was formulated using the solutions of the Laplace equation in the toroidal coordinate system.…Hamad M. Alkhoori, Akhlesh Lakhtakia, Nikolaos L. Tsitsas·Aug 24, 2024SaveLearn
Reconstruction of the reverberation theory in a diffuse sound field by using reflection ordersRoom acoustics is mainly based on the reverberation theories of Saine and Eyring. In Sabine's theory however, the reverberation time does not reach zero, even if the condition of absolute…Toshiki Hanyu·Aug 21, 2024SaveLearn
Revealing Invisible Scattering Poles via Complex Frequency ExcitationsRecent research in light scattering has prompted a re-evaluation of complex quantities, particularly in the context of complex frequency signals, which exhibit exponential growth or decay unlike…Deepanshu Trivedi, Arjuna Madanayake, Alex Krasnok·Aug 19, 2024SaveLearn
31 Lectures on Geometric MechanicsThese lecture notes in geometric mechanics are meant to convey insight through clear definitions and workable examples. The lecture format adopted here is intended to convey the immediacy of the…Darryl D. Holm·Aug 18, 2024SaveLearn
Angular momentum of radiation from ultrarelativistic chargeThe angular momentum of radiation from an arbitrarily moving relativistic charge is studied. The angular momentum is presented as the sum of the angular momentum relative to the point where the…Vladimir Epp, Ulyana Guselnikova, Julia Janz·Aug 18, 2024SaveLearn
Unusual Properties of Adiabatic Invariance in a Billiard Model Related to the Adiabatic Piston ProblemWe consider the motion of two massive particles along a straight line. A lighter particle bounces back and forth between a heavier particle and a stationary wall, with all collisions being ideally…Joshua Skinner, Anatoly Neishtadt·Aug 17, 2024SaveLearn
How a simple pendulum inside a running elevator oscillatesWe propose to effectively realize a time-dependent gravitational acceleration by using a running elevator, so that a simple pendulum inside it effectively becomes one with a time-dependent…Mingyuan Shi, Yu Shi·Aug 16, 2024SaveLearn
Displacement Current in Classical and Quantum SystemsIt is certain that electrical properties-whether slow (sec) or fast (nsec), even optical (fsec)-are described by Maxwell's equations, and there are terms that depend on the rate of change of the…David K. Ferry, Xavier Oriols, Robert Eisenberg·Aug 14, 2024SaveLearn
The topological dynamics of continuum lattice grid structuresContinuum lattice grid structures which consist of joined elastic beams subject to flexural deformations are ubiquitous. In this work, we establish a theoretical framework of the topological dynamics…Yimeng Sun, Jiacheng Xing, Li-Hua Shao et al.·Aug 13, 2024SaveLearn
Efficient numerical frameworks for modelling ultrasonic beams propagating across interfacesTwo different frameworks are developed to model the wave field generated by a transducer and propagating through one or more interfaces, and a Quasi-Monte Carlo (QMC) integration scheme is used to…André Lello de Almeida, Melody Png, Bo Lan·Aug 13, 2024SaveLearn
Non-Hermitian Singularities in Scattering Spectra of Mie ResonatorsNon-Hermitian systems are known to possess unique singularities in the scattering spectra such as exceptional points, bound states in the continuum, Diabolic points, and anapole states, which are…Fan Zhang, Nikolay S. Solodovchenko, Hangkai Fan et al.·Aug 11, 2024SaveLearn