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Classical Physics papers — page 62

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Frequency spectrum of nonlinear oscillations and resonance phenomena for graphene plates
The paper studies oscillations of graphene plates under the hypothesis that deformations are much more than the thickness of plate. In this most realistic case the oscillations are described by the…
Yuriy OstapovMay 2, 2020
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Analysis of the electrostratic field generated by a charge distribution on a dielectric layer loading a rectangular waveguide
The goal of this paper is to study the electrostatic field due to an arbitrary charge distribution on a dielectric layer in a dielectric-loaded rectangular waveguide. In order to obtain this…
A. Berenguer, A. Coves, F. Mesa et al.May 2, 2020
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A Forced Harmonic Oscillator, Interpreted as Diffraction of Light
We investigate a simple forced harmonic oscillator with a natural frequency varying with time. It is shown that the time evolution of such a system can be written in a simplified form with Fresnel…
Toshihiko Hiraiwa, Kouichi Soutome, Hitoshi TanakaApr 27, 2020
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Energy flux and dissipation of inhomogeneous plane waves in hereditary viscoelasticity
Inhomogeneous small-amplitude plane waves of (complex) frequency ω are propagated through a linear dissipative material which displays hereditary viscoelasticity. The energy density, energy flux…
N. H. ScottApr 27, 2020
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Nonreciprocal Elasticity
Nonreciprocity has been introduced to various fields to realize asymmetric, nonlinear, and/or time non-revisal physical systems. By virtue of the Maxwell-Betti reciprocal theorem, breaking the…
Mohamed ShaatApr 26, 2020
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Redefining the Phase Space for Ideal Gas Systems Resolves the Gibbs Paradox
For an ideal gas consisting N molecules within a volume V, the volume accessible to each molecule at an instantaneous time is V/N. The rest of the volume, (N-1)(V/N), is occupied by other (N-1)…
Quanmin GuoApr 25, 2020
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Brownian motion at the speed of light: a Lorentz invariant family of processes
We recently introduced a new family of processes which describe particles which only can move at the speed of light c in the ordinary 3D physical space. The velocity, which randomly changes…
Maurizio ServaApr 24, 2020
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Bounds on the elastic threshold for problems of dissipative strain-gradient plasticity
This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to…
B. D. Reddy, S. SysalaApr 22, 2020
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Vibration of cylindrical shells: Design criteria for transition from shell modes to beam modes
The dynamic behavior of the cylindrical shell can be predicted by more simplified beam models for a wide range of applications. The present paper deals with finding design conditions in which the…
M. Khademi-kouhi, M. ShakouriApr 21, 2020
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On some properties of the electromagnetic field and its interaction with a charged particle
A procedure for solving the Maxwell equations in vacuum, under the additional requirement that both scalar invariants are equal to zero, is presented. Such a field is usually called a null…
Dimitar SimeonovApr 15, 2020
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Huygens' cycloidal pendulum: an elementary derivation
A pedagogical derivation of the Huygens cycloidal pendulum, suitable for high-school students, is here presented. Our derivation rests only on simple algebraic and geometrical tricks, without the…
Riccardo BorghiApr 14, 2020
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A matrix solution to Maxwell's equations in 2 + 1 dimensional curved space: Two examples
In an effort that puts together a paper by Plebanski[1] with a matrix approach to the solution of Maxwell's equations in flat space by Moses[2], Maxwell's equations in 2 + 1 dimensional…
S. G. KamathApr 13, 2020
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COVID-19 in air suspensions
We analyse the stability of virus-carrying particles in air at equilibrium after the dissipation of the initial turbulent process produced by sneezing, coughing, breathing or speaking. Because the…
Daniel A. StarioloApr 12, 2020
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Dimensional scaffolding of electromagnetism using geometric algebra
Using geometric algebra and calculus to express the laws of electromagnetism we are able to present magnitudes and relations in a gradual way, escalating the number of dimensions. In the…
Xabier Prado Orbán, Jorge MiraApr 11, 2020
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On the electrostatic potential and electric field of a uniformly charged disk
We calculate the electrostatic potential and electric field of a uniformly charged disk everywhere in space. This electrostatic problem was solved long ago, and its gravitational analogue - even…
V. Bochko, Z. K. SilagadzeApr 9, 2020
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Lorenz Gauge Condition and Its Relation to Far-Field Longitudinal Electric Wave
In this short paper, it is shown that Lorenz gauge condition leads to disappearance of long-range longitudinal electric wave emitted by an arbitrary electrical system. In any other gauge,…
Altay ZhakatayevApr 7, 2020
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Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
We analyze planar electromagnetic waves confined by a slab waveguide formed by two perfect electrical conductors. Remarkably, 2D Maxwell equations describing transverse electromagnetic modes in such…
Daniel Leykam, Konstantin Y. Bliokh, Franco NoriApr 7, 2020
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Microtwist elasticity: A continuum approach to zero modes and topological polarization in Kagome lattices
The topologically polarized isostatic lattices discovered by Kane and Lubensky (2014, Nat. Phys. 10, 39-45) challenged the standard effective medium theories used in the modeling of many truss-based…
Hussein Nassar, Hui Chen, Guoliang HuangApr 3, 2020
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Scattering Cancellation Technique for Acoustic Spinning Objects
The scattering cancellation technique (SCT) has proved to be an effective way to render static objects invisible to electromagnetic and acoustic waves. However, rotating cylindrical or spherical…
Mohamed Farhat, Sebastien Guenneau, Andrea Alu et al.Apr 3, 2020
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Far-field and near-field directionality in acoustic scattering
Far-field directional scattering and near-field directional coupling from simple sources have recently received great attention in photonics: beyond circularly-polarized dipoles, whose directional…
Lei Wei, Francisco J. Rodríguez-FortuñoMar 30, 2020
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Structure of Constrained Systems in Lagrangian Formalism and Degree of Freedom Count
A detailed program is proposed in the Lagrangian formalism to investigate the dynamical behavior of a theory with singular Lagrangian. This program goes on, at different levels, parallel to the…
Mohammad Javad Heidari, Ahmad ShirzadMar 30, 2020
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Acoustic spin transfer to a subwavelength spheroidal particle
We demonstrate that the acoustic spin of a first-order Bessel beam can be transferred to a subwavelength (prolate) spheroidal particle at the beam axis in a viscous fluid. The induced radiation…
Jose H. Lopes, Everton B. Lima, Jose P. Leao-Neto et al.Mar 28, 2020
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The geometry of induced electromagnetic fields in moving media
In this manuscript we provide a fully geometric formulation for the induced electromagnetic fields and their corresponding constitutive relations in moving media. To this end, we present the reader…
Cesar S. Lopez-Monsalvo, David Garcia-Pelaez, Alberto Rubio-Ponce et al.Mar 26, 2020
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The Geometry of Isochrone Orbits: from Archimedes' parabolae to Kepler's third law
In classical mechanics, the Kepler potential and the Harmonic potential share the following remarkable property: in either of these potentials, a bound test particle orbits with a radial period that…
Paul Ramond, Jérôme PerezMar 26, 2020
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The Ubiquitous Lorentz Force
Minimizing the Action integral of a Lagrangian provides the Euler-Lagrange equation of motion in the elegant machinery of Lagrangian Mechanics. However two relations define the divergence of current…
Clinton L LewisMar 25, 2020
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