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Classical Physics papers — page 131

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Fractional Gradient Elasticity from Spatial Dispersion Law
Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong…
Vasily E. TarasovJun 11, 2013
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Metamaterial Loadings for Waveguide Miniaturization
We show that a rectangular metallic waveguide loaded with metamaterial elements consisting of electric-field coupled (ELC) resonators placed at the side walls can operate well below the cutoff…
H. Odabasi, F. L. TeixeiraJun 4, 2013
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Exact Axisymmetric Solutions of the Maxwell Equations in a Nonlinear Nondispersive Medium
The features of propagation of intense waves are of great interest for theory and experiment in electrodynamics and acoustics. The behavior of nonlinear waves in a bounded volume is of especial…
E. Yu. Petrov, A. V. KudrinJun 4, 2013
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On retardation, radiation and Liénard-Wiechert type potentials in electrodynamics and elastodynamics
The aim of this paper is to investigate the fundamental problems of retardation and radiation caused by non-uniformly moving point sources using the theories of electrodynamics and elastodynamics.…
Markus LazarMay 30, 2013
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Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids
In this paper a stationary action principle is proven to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arguments, for…
N. Auffray, F. dell'Isola, V. Eremeyev et al.May 29, 2013
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Hamiltonians representing equations of motion with damping due to friction
Suppose that H(q,p) is a Hamiltonian on a manifold M, and L(q, q), the Rayleigh dissipation function, satisfies the same hypotheses as a Lagrangian on the manifold M. We provide a…
Stephen Montgomery-SmithMay 29, 2013
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Reply to the comment on "Exact Expression for Radiation of an Accelerated Charge in Classical Electrodynamics"
Flaws and ambiguities are pointed out upon examining the comment attempting to solve a problem as raised recently --- the currently accepted formulation of electromagnetic radiation of an accelerated…
Young-Sea HuangMay 29, 2013
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Plasmonic metamaterial enhanced axionic magnetoelectric effect
Axionic electrodynamics predicts many peculiar magnetoelectric-based properties. Hitherto, simple structures such as one-dimensional multilayers were employed to explore these axionic magnetoelectric…
Yong Zeng, Hou-Tong ChenMay 29, 2013
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Obtaining Laws of Thermodynamics for Ideal Gases using Elastic Collisions
The purpose of this note is to see to what extent ideal gas laws can be obtained from simple Newtonian mechanics, specifically elastic collisions. We present simple one-dimensional situations that…
Stephen Montgomery-Smith, Hannah MorganMay 29, 2013
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On simplified models for dynamics of pointlike objects
Since physical theories employ mathematical models to describe and predict physical phenomena, our knowledge depends on the models available to that end. To increase their scope we present a…
Marijan Ribaric, Luka SustersicMay 26, 2013
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On the uniform tiling with electrical resistors
We calculate the effective resistance between two arbitrary lattice points on infinite strip of the triangular lattice (ladder network) in one dimension, and on infinite modified square and Union…
M. OwaidatMay 25, 2013
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An asymptotic approach to the adhesion of thin stiff films
In this paper, the asymptotic first order analysis, both mathematical and numerical, of two structures bonded together is presented. Two cases are considered, the gluing of an elastic structure with…
Serge Dumont, Frédéric Lebon, Raffaella RizzoniMay 24, 2013
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Thermodynamics of continua: the challenge of universality
The explanation of the apparent universality of thermodynamics points toward the extension of the usual conceptual background of the second law. Arguments are collected that a basic guiding idea of…
P. VánMay 14, 2013
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Vibroacoustics of the piano soundboard: Reduced models, mobility synthesis, and acoustical radiation regime
In string musical instruments, the sound is radiated by the soundboard, subject to the strings excitation. This vibration of this rather complex structure is described here with models which need…
Xavier Boutillon, Kerem EgeMay 14, 2013
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A Wave-centric View of Special Relativity
An approach to special relativity is outlined which emphasizes the wave and field mechanisms which physically produce the relativistic effects, with the goal of making them seem more natural to…
William M. NelsonMay 14, 2013
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Cloaking and Magnifying Using Radial Anisotropy
This paper studies the electrostatic responses of a polarly radially anisotropic cylinder and a spherically radially anisotropic sphere. For both geometries, the permittivity components differ from…
Henrik Kettunen, Henrik Wallén, Ari SihvolaMay 13, 2013
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An analytic solution to the equations governing the motion of a point mass with quadratic resistance and generalizations
The paper is devoted to the motion of a body in a fluid under the influence of gravity and drag. Depending on the regime considered, the drag force can exhibit a linear, quadratic or even more…
Shouryya Ray, Jochen FröhlichMay 6, 2013
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Weight function approach to study a crack propagating along a bimaterial interface under asymmetric loading in anisotropic solids
This paper considers a steady-state crack propagating along an interface between dissimilar orthotropic materials under an asymmetric load. Although most of the known results so far deal with…
L. Pryce, L. Morini, G. MishurisMay 2, 2013
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On the Mechanical Interaction of Light With Homogeneous Liquids
We investigate one of the consequences of the three competing models describing the mechanical interaction of light with a dielectric medium. According to both the Abraham and Minkowski models the…
Michiel de Reus, Neil V. BudkoMay 1, 2013
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One pendulum to run them all
The analytical solution of the three--dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in terms of initial…
Gabriela Barenboim, J. A. OteoApr 30, 2013
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On the nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator: Lagrange and Newton equations' equivalence
Using a generalized coordinate along with a proper invertible coordinate transformation, we show that the Euler-Lagrange equation used by Bagchi et al. 16 is in clear violation of the Hamilton's…
Omar MustafaApr 19, 2013
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Thermodynamic Approach to Generalized Continua
Governing equations of dissipative generalized solid mechanics are derived by thermodynamic methods in the Piola-Kirchhoff framework using the Liu procedure. The isotropic small strain case is…
P. Ván, A. Berezovski, C. PapenfussApr 17, 2013
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Rotating frame analysis of rigid body dynamics in space phasor variables
New method of analysing the free and heavy symmetric tops using Euler's equations to perform extraction from the body frame to the lab frame. Subsequent to extraction, the lab frame equations are…
Shayak BhattacharjeeApr 17, 2013
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Displacement induced electric force and natural self-oscillation of a free electron
We show that a kind of displacement induced temporary electric force of a single point charge can be derived by using Maxwell stress analysis. This force comes from the variation of the charge's…
Zhixian Yu, Liang YuApr 13, 2013
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Interaction of a point charge with the surface of a uniaxial dielectric
We analyze the force on a point charge moving at relativistic speeds parallel to the surface of a uniaxial dielectric. Two cases are examined: a lossless dielectric with no dispersion and a…
Primož Rebernik Ribič, Rudolf PodgornikApr 12, 2013
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