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Classical Physics papers — page 139

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Relativistic Linear Restoring Force
We consider two different forms for a relativistic version of a linear restoring force. The pair comes from taking Hooke's law to be the force appearing on the right of the relativistic…
D. Clark, J. Franklin, N. MannMay 23, 2012
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Design Omnidirectional Wave Absorbers by Transformation Method
A general conformal mapping is proposed to design omnidirectional broadband wave absorbers by transformation method. When applied to electromagnetic (EM) and acoustic waves, the existing material…
Zheng Chang, Gengkai HuMay 22, 2012
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Comment on "Trouble with the Lorentz Law of Force"
A recent article claims the Lorentz force law is incompatible with special relativity. The claim is false, and the "paradox" on which it is based was resolved many years ago.
David J. Griffiths, V. HnizdoMay 21, 2012
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An Electron Model with Synchrotron Radiation
A classical model of the electron based on Maxwell's equations is presented in which the wave character is described by classical physics. Most properties follow from the description of a…
G. PoelzMay 17, 2012
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New Perspective on the Optical Theorem of Classical Electrodynamics
A general proof of the optical theorem (also known as the optical cross-section theorem) is presented that reveals the intimate connection between the forward scattering amplitude and the…
Masud MansuripurMay 16, 2012
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Relativistic Springs
Here we develop a model for the relativistic spring. We examine the effects of revising the simple harmonic oscillator to include relativistic momentum and a delayed force law. These corrections…
Dylan P. ClarkMay 13, 2012
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Foundations of Newtonian Dynamics: An Axiomatic Approach for the Thinking Student
Despite its apparent simplicity, Newtonian Mechanics contains conceptual subtleties that may cause some confusion to the deep-thinking student. These subtleties concern fundamental issues such as,…
C. J. PapachristouMay 10, 2012
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A Coning Theory of Bullet Motions
Each observable ballistic phenomenon of a spin-stabilized rifle bullet can be explained in terms of the acceleration of gravity and the total aerodynamic force acting on that bullet. In addition to…
James A. BoatrightMay 9, 2012
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Bypassing the bandwidth theorem with PT symmetry
The beat time τfpt associated with the energy transfer between two coupled oscillators is dictated by the bandwidth theorem which sets a lower bound τfpt 1/δω. We show, both experimentally…
Hamidreza Ramezani, J. Schindler, F. M. Ellis et al.May 9, 2012
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Geometric numerical schemes for the KdV equation
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous symplectic and…
Denys Dutykh, Marx Chhay, Francesco FedeleMay 7, 2012
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Circular Sound Wave Scattering Derivation for Acoustic Cloak Detection
In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and…
Siyang Zhong, Xun HuangMay 5, 2012
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Variations on the magnetic torque acting on a wire
The relation M = mu x B is presented in all elementary courses on electromagnetism but it is usually given just for the simple case of a rectangular wire. We will present a completely general but…
Claudio BonatiMay 4, 2012
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Does Lorentz Force Law Contradict the Principle and Theories of Relativity for Uniform Linear Motion?
I show that no force or torque is generated in cases involving a charge and a magnet with their relative velocity zero, in any inertial frame of reference. A recent suspicion of an anomalous torque…
C. S. UnnikrishnanMay 2, 2012
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Rotating strings
Analytical expressions are provided for the configurations of an inextensible, flexible, twistable inertial string rotating rigidly about a fixed axis. Solutions with trivial radial dependence are…
J. A. HannaApr 22, 2012
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Hyperelastic cloaking theory: Transformation elasticity with pre-stressed solids
Transformation elasticity, by analogy with transformation acoustics and optics, converts material domains without altering wave properties, thereby enabling cloaking and related effects. By noting…
A. N. Norris, W. J. ParnellApr 20, 2012
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Exact Analytic Solutions for the Rotation of an Axially Symmetric Rigid Body Subjected to a Constant Torque
New exact analytic solutions are introduced for the rotational motion of a rigid body having two equal principal moments of inertia and subjected to an external torque which is constant in magnitude.…
Marcello RomanoApr 16, 2012
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Exact Analytic Solution for the Rotation of a Rigid Body having Spherical Ellipsoid of Inertia and Subjected to a Constant Torque
The exact analytic solution is introduced for the rotational motion of a rigid body having three equal principal moments of inertia and subjected to an external torque vector which is constant for an…
Marcello RomanoApr 16, 2012
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Is the Clausius inequality a consequence of the second law?
We present an analysis of the foundations of the well known Clausius inequality. It is shown that, in general, the inequality is not a logical consequence of the Kelvin-Planck formulation of the…
Alexey V. GavrilovApr 14, 2012
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Solitary wave interaction in a compact equation for deep-water gravity waves
In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakharov (2011)…
Francesco Fedele, Denys DutykhApr 14, 2012
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Soft-and-Hard/D'B' Boundary Conditions and their Realization by Electromagnetic Media
A layer of uniaxial medium with large axial permittivity and permeability can be used as a quarter-wave transformer with interesting properties. By increasing the transverse permittivity and…
I. V. Lindell, A. SihvolaApr 12, 2012
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On the modelling of spur and helical gear dynamic behaviour
This chapter is aimed at introducing the fundamentals of spur and helical gear dynamics. Using three-dimensional lumped models and a thin-slice approach for mesh elasticity, the general equations of…
Philippe VelexApr 12, 2012
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Wave propagation across acoustic / Biot's media: a finite-difference method
Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid / poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium)…
Guillaume Chiavassa, Bruno LombardApr 6, 2012
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Self inductance of a wire loop as a curve integral
It is shown that the self inductance of a wire loop may be written as a curve integral akin to the Neumann formula for the mutual inductance of two wire loops. The only difference is that…
R. DenglerApr 4, 2012
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Dynamics of hydrogen-like atom bounded by maximal acceleration
The existence of a maximal acceleration for massive objects was conjectured by Caianiello 30 years ago based on the Heisenberg uncertainty relations. Many consequences of this hypothesis have been…
Yaakov Friedman, Emanuel ResinApr 3, 2012
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Modified van der Pauw method based on formulas solvable by the Banach fixed point method
We propose a modification of the standard van der Pauw method for determining the resistivity and Hall coefficient of flat thin samples of arbitrary shape. Considering a different choice of…
Jan L. CieślińskiMar 31, 2012
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