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Classical Physics papers — page 119

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Kirchhoff voltage law corrected for radiating circuits
When a circular loop composed by a RLC is put to oscillate, the oscillation will eventually vanish in an exponentially decaying current, even considering superconducting wires, due to the emission of…
Vitor Lara, Kaled DechoumOct 2, 2014
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Partial-Wave Series Expansion and Angular Spectrum Decomposition Formalisms for Acoustical Beams
Complex weights factors (CWFs) that fully define the incident beam independent of the presence of a scatterer, may be represented mathematically by either a partial-wave series expansion (PWSE) of…
F. G. MitriOct 1, 2014
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Scattering mean-free path in continuous complex media: beyond the Helmholtz equation
We present theoretical calculations of the ensemble-averaged (a.k.a. effective or coherent) wavefield propagating in a heterogeneous medium considered as one realization of a random process. In the…
Ibrahim Baydoun, Diego Baresch, Romain Pierrat et al.Sep 26, 2014
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Does Bohm's Quantum Force Have a Classical Origin?
In the de Broglie - Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the…
David C. LushSep 26, 2014
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Electromagnetic force and torque in Lorentz and Einstein-Laub formulations
The Lorentz force law of classical electrodynamics requires the introduction of hidden energy and hidden momentum in situations where an electric field acts on a magnetic material. In contrast, the…
Masud MansuripurSep 20, 2014
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On systems having Poincaré and Galileo symmetry
Using the wave equation in d > or = 1 space dimensions it is illustrated how dynamical equations may be simultaneously Poincaré and Galileo covariant with respect to different sets of independent…
Peter HollandSep 19, 2014
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Dynamics-dependent symmetries in Newtonian mechanics
We exhibit two symmetries of one-dimensional Newtonian mechanics whereby a solution is built from the history of another solution via a generally nonlinear and complex potential-dependent…
Peter HollandSep 19, 2014
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On the Electrodynamics of Moving Permanent Dipoles in External Electromagnetic Fields
The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic field, force, energy and momentum, which are intimately tied together by…
Masud MansuripurSep 16, 2014
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Rayleigh's dissipation function at work
It is shown that the Rayleigh's dissipation function can be successfully applied in the solution of mechanical problems involving friction non-linear in the velocities. Through the study of…
E. MinguzziSep 14, 2014
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The Charge-Magnet Paradoxes of Classical Electrodynamics
A number of charge-magnet paradoxes have been discussed in the literature, beginning with Shockley's famous 1967 paper, where he introduced the notion of hidden momentum in electromagnetic…
Masud MansuripurSep 12, 2014
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Tunable cylindrical shell as an element in acoustic metamaterial
Elastic cylindrical shells are fitted with an internal mechanism which is optimized so that, in the quasi-static regime, the combined system exhibits prescribed effective acoustic properties. The…
Alexey S. Titovich, Andrew N. NorrisSep 11, 2014
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The electrostatic potential of a periodic lattice
We calculate the electrostatic potential of a periodic lattice of arbitrary extended charges by using the Cartesian multipole formalism. This method allows the separation of the long-range potential…
G. VamanSep 8, 2014
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Acoustic scattering from an infinitely long cylindrical shell with an internal mass attached by multiple axisymmetrically distributed stiffeners
A thin infinitely long elastic shell is stiffened by J in number identical lengthwise ribs distributed uniformly around the circumference and joined to a rod in the center. The 2D model of the…
Alexey S. Titovich, Andrew N. NorrisSep 5, 2014
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Analysis of the magnetic field, force, and torque for two-dimensional Halbach cylinders
The Halbach cylinder is a construction of permanent magnets used in applications such as nuclear magnetic resonance apparatus, accelerator magnets and magnetic cooling devices. In this paper the…
R. Bjørk, C. R. H. Bahl, A. Smith et al.Sep 5, 2014
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Completing the Liénard-Wiechert potentials: The origin of the delta function fields for a charged particle in hyperbolic motion
Calculating the electromagnetic field of a uniformly accelerated charged particle is a surprisingly subtle problem that has been long discussed in the literature. While the correct field has been…
Daniel J. CrossSep 4, 2014
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Size-dependent theories of piezoelectricity: Comparisons and further developments for centrosymmetric dielectrics
Here the recently developed size-dependent piezoelectricity and the strain gradient theory of flexoelectricity are compared. In the course of this investigation, the strain gradient theory of…
Ali R. HadjesfandiariSep 2, 2014
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Gauge transformations are canonical transformations, redux
In this short note we return to the old paper by Tai L. Chow (Eur. J. Phys. 18 (1997), 467-468) and correct its erroneous final part. We also note that the main result of that paper, that gauge…
Z. K. SilagadzeSep 2, 2014
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Gravitational dispersion in a torsional wave machine
We demonstrate that mechanical waves traveling in a torsional, mechanical wave machine exhibit dispersion due to gravity and the discreteness of the medium. We also show that although the dispersion…
Rafael de la Madrid, Alejandro Gonzalez, George IrwinSep 1, 2014
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Chain Paradoxes
For nearly two centuries the dynamics of chains have offered examples of paradoxical theoretical predictions. Here we propose a theory for the dissipative dynamics of one-dimensional continua with…
Epifanio G. VirgaSep 1, 2014
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Non-Hamiltonian features of a classical pilot-wave dynamics
A bouncing droplet on a vibrated bath can couple to the waves it generates, so that it becomes a propagative walker. Its propulsion at constant velocity means that a balance exists between the…
Matthieu Labousse, Stéphane PerrardAug 31, 2014
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Dispersion and localization in structured Rayleigh beams
This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different…
A. Piccolroaz, A. B. MovchanAug 21, 2014
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A Generalized Damage-Based Estimate of Crash Severity
In this paper, principles of the CRASH3 damage-based collision algorithm are generalized for 3-dimensional motor vehicle crush profiles.
Bob J. ScurlockAug 20, 2014
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Constants of motion associated with alternative Hamiltonians
It is shown that if a non-autonomous system of 2n first-order ordinary differential equations is expressed in the form of the Hamilton equations in terms of two different sets of coordinates,…
Gerardo F. Torres del CastilloAug 20, 2014
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Analytic Model of Variable Characteristic of Coefficient of Restitution and Its Application to Soccer Ball Trajectory Planning
In this article, we investigate the behavior of the coefficient of restitution (COR) which is an important parameter in many impact-related fields. In many cases, the COR is considered as a constant…
Hwan-Taek Ryu, Byung-Ju Yi, Younghun KwonAug 19, 2014
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On electromagnetic momentum of an electric dipole in a magnetic field
The total linear electromagnetic field momentum Pem of a stationary electric dipole p in a static magnetic field B is considered. The expression $…
Ben Yu-Kuang HuAug 18, 2014
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