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Classical Physics papers — page 123

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Modified 1D elastic wave equations that retain time synchronization under spatial coordinate transformations
In contrast to the traditional elastodynamic equations, a more comprehensive formulation of one dimensional (1D) elastodynamic equations is given for inhomogeneous media by using the coordinate…
Ruiwen Yao, Zhihai XiangApr 9, 2014
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About One-Dimensional Conservative Systems with Position Depending Mass
For a one-dimensional conservative systems with position depending mass, one deduces consistently a constant of motion, a Lagrangian, and a Hamiltonian for the non relativistic case. With these…
Gustavo V. Lopez, Carlos Martinez-PrietoApr 9, 2014
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The laws of planetary motion, derived from those of a harmonic oscillator (following Arnold)
Kepler's laws of planetary motion are deduced from those of a harmonic oscillator following Arnold. Conversely, the circular orbits through the Earth's center suggested by Galilei are…
P. A. Horvathy, P. -M. ZhangApr 8, 2014
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Constrained ballistics and geometrical optics
The problem of constant-speed ballistics is studied under the umbrella of non-linear non-holonomic constrained systems. The Newtonian approach is shown to be equivalent to the use of Chetaev's…
Marcelo EpsteinApr 8, 2014
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Mode propagation and attenuation in lined ducts
Optimal impedance for each mode is an important concept in an infinitely long duct lined with uniform absorption material. However it is not valid for finite length linings. This is because that the…
Wenping BI, Vincent PagneuxApr 6, 2014
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An Improved Inertia Principle
We show that for isolated relativistic systems with spin the conservation of total angular momentum implies that, instead of the center of mass, it is a modified center of mass and spin which behaves…
Rodrigo Medina, J. StephanyApr 6, 2014
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Illustrations of Equivalent Methods to Reproduce Vehicle and Occupant Dynamics as a Pedagogical Tool
When explaining to a lay audience the magnitude of forces or accelerations imparted to vehicles or experienced by vehicle occupants during a motor vehicle collision, it is often helpful to recast the…
Bob J. Scurlock, James R. IpserApr 6, 2014
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Thermodynamics in rotating systems -- analysis of selected examples
We solve a set of selected exercises on rotational motion requiring a mechanical and thermodynamical analysis. When non-conservative forces or thermal effects are present, a complete study must use…
Julio Güémez, Manuel FiolhaisApr 1, 2014
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Rigorous Derivations of the Planar Impact Dynamics Equations in the Center-of-Mass Frame
In this article, we present a set of rigorous derivations of the equations used in planar impact dynamics calculations, in the context of vehicular accident reconstruction.
Bob J. Scurlock, James R. IpserApr 1, 2014
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Single Bessel tractor-beam tweezers
The tractor behavior of a zero-order Bessel acoustic beam acting on a fluid sphere, and emanating from a finite circular aperture (as opposed to waves of infinite extent) is demonstrated…
F. G. MitriMar 31, 2014
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Electromagnetic Fields Radiated by a Circular Loop with Arbitrary Current
We present a rigorous approach to compute the electromagnetic fields radiated by a thin circular loop with arbitrary current. We employ a polar transmission representation along with a…
Mohamed A. Salem, Christophe CalozMar 31, 2014
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The force density and the kinetic energy-momentum tensor of electromagnetic fields in matter
We determine the invariant expression of the force density that the electromagnetic field exerts on dipolar matter and construct the non-symmetric energy-momentum tensor of the electromagnetic field…
Rodrigo Medina, J. StephanyMar 30, 2014
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Violation of the center of mass theorem for systems with electromagnetic interaction
In this letter we show that for isolated systems for which the energy current density is not equal to the momentum density, that means for systems with non-symmetric energy-momentum, the usual…
Rodrigo Medina, J. StephanyMar 30, 2014
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Regime change thresholds in flute-like instruments: influence of the mouth pressure dynamics
Since they correspond to a jump from a given note to another one, the mouth pressure thresholds leading to regime changes are particularly important quantities in flute-like instruments. In this…
Soizic Terrien, Rémi Blandin, Christophe Vergez et al.Mar 28, 2014
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Explicit mass renormalization and consistent derivation of radiative response of classical electron
The radiative response of the classical electron is commonly described by the Lorentz-Abraham-Dirac (LAD) equation. Dirac's derivation of this equation is based on energy and momentum…
Anatoli BabinMar 24, 2014
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A Simple Derivation of Lorentz Self Force
We derive the Lorentz self force for an arbitrarily moving charged particle via averaging the retarded fields. The derivation is simple and at the same time pedagogically accessible. We obtain the…
Asrarul HaqueMar 22, 2014
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General analytical solutions for DC/AC circuit network analysis
In this work, we present novel general analytical solutions for the currents that are developed in the edges of network-like circuits when some nodes of the network act as sources/sinks of DC or AC…
Nicolás Rubido, Celso Grebogi, Murilo S. BaptistaMar 20, 2014
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Mapping of solutions of the Hamilton-Jacobi equation by an arbitrary canonical transformation
It is shown that given an arbitrary canonical transformation and an arbitrary Hamiltonian, there is a naturally defined mapping that sends any solution of the Hamilton-Jacobi (HJ) equation into a…
G. F. Torres del Castillo, H. H. Cruz Domínguez, A. de Yta Hernández et al.Mar 19, 2014
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Distributing points uniformly on the unit sphere under a mirror reflection symmetry constraint
Uniformly distributed point sets on the unit sphere with and without symmetry constraints have been found useful in many scientific and engineering applications. Here, a novel variant of the Thomson…
Cheng Guan KoayMar 15, 2014
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Acoustics of finite-aperture vortex beams
A method based on the Rayleigh-Sommerfeld surface integral is provided, which makes it feasible to rigorously model, evaluate and compute the acoustic scattering and other mechanical effects of…
F. G. MitriMar 14, 2014
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Current distribution in an infinite plate
Distribution of the electric potential in a very long plate (for example a long metal ruler) is determined. This is achieved by conformally mapping the plate into a plane, simplifying the geometry of…
Andrzej CzarneckiMar 14, 2014
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Distributed Charge in a Coulomb Potential Well
The behavior of a distributed charge in a Coulomb potential well is considered. It is shown that elements of a distributed charge can move along different trajectories, thus forming actually motion…
Andrey VasilyevMar 13, 2014
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On Stored Energies and Radiation Q
This paper discusses the methods for evaluating the stored electromagnetic energies and the radiation Q for an arbitrary lossless antenna. New expressions for the stored electromagnetic energies are…
Wen GeyiMar 12, 2014
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An efficient plate heater with uniform surface temperature engineered with effective thermal materials
Extended from its electromagnetic counterpart, transformation thermodynamics applied to thermal conduction equations can map a virtual geometry into a physical thermal medium, realizing the…
Yichao Liu, Wei Jiang, Sailing He et al.Mar 12, 2014
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Broadband omnidirectional invisibility for sound in three dimensions
Acoustic cloaks that make object undetectable to sound waves have potential applications in a variety of scenarios and have received increasing interests recently. However, the experimental…
Weiwei Kan, Bin Liang, Ruiqi Li et al.Mar 12, 2014
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