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Classical Physics papers — page 68

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Collision of two balls in a groove -- An interplay between translation and rotation
When two identical balls collide with equal inital speed on a horizontal groove, one can observe three trajectory types depending on the groove width. To explain this observation, we derive velocity…
Sebastian Gröber, Josef SniateckiSep 24, 2019
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Maximum attainable energy at a fixed frequency cyclotron
We consider a problem of finding the maximum attainable energy at a cyclotron as an exercise in the introductory relativity course and comment on some subtle points of the solution.
V. V. Konstantinov, A. Sen, Z. K. SilagadzeSep 23, 2019
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The Reactive and Radiation Electromagnetic Energies of Antennas: a New Formulation
It is required to calculate the stored reactive energy of an antenna in order to evaluate its Q factor. Although it has been investigated for a long time, some issues still need further clarifying.…
Gaobiao XiaoSep 22, 2019
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Superexponential Self-Interacting Oscillator
The superexponential self-interacting oscillator (SSO) is introduced and analyzed. Its power law potential is characterized by the dependence of both the base and the exponent on the dynamical…
Peter SchmelcherSep 21, 2019
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Analytical Advances about the apex Field Enhancement Factor of a Hemisphere on a Post Model
In this dissertation, we analytically study the apex field enhancement factor (FEF), γa, by constructing a method which consists in minimizing an error function defined as to measure the deviation…
Adson Soares de SouzaSep 20, 2019
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Reduced algebraic conditions for plane/axial tensorial symmetries
In this article, we formulate necessary and sufficient polynomial equations for the existence of a symmetry plane or an order-two axial symmetry for a totally symmetric tensor of order n 1.…
Marc Olive, Boris Desmorat, Boris Kolev et al.Sep 19, 2019
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An asymmetric elastic metamaterial model for elastic wave cloaking
Elastic material with its elastic tensor losing minor symmetry is considered impossible without introducing artificially body torque. Here we demonstrate the feasibility of such material by…
Hongkuan Zhang, Yi Chen, Xiaoning Liu et al.Sep 19, 2019
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Gradient Extension of Classical Material Models From Nuclear & Condensed Matter Scales to Earth & Cosmological Scales
The various mathematical models developed in the past to interpret the behavior of natural and manmade materials were based on observations and experiments made at that time. Classical laws (such as…
Elias C. AifantisSep 18, 2019
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Rumsey's Reaction Concept Generalized
The reaction concept, introduced by Rumsey in 1954, describes interaction between time-harmonic electromagnetic sources through the fields radiated by the sources. In the original form the concept…
Ismo V. Lindell, Ari SihvolaSep 18, 2019
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Linear mass Density of vertically suspended heavy springs
In the present article the linear mass Density for vertically suspended heavy springs is calculated for two different cases. First for a spring of invariable length suspended at the top and fixed at…
Cyril BelardinelliSep 18, 2019
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Q-factor and bandwidth of periodic antenna arrays over ground plane
In this paper, the Q-factor expression for periodic arrays over a ground plane is determined in terms of the electric current density within the array's unit cell. The expression accounts for the…
Andrei Ludvig-Osipov, B. L. G. JonssonSep 17, 2019
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Symmetry Breaking in UCA-Based Vortex Waves
In literature, it is often said that a uniform circular array (UCA) composed of a sufficient number of radiating elements is able to generate a vortex wave with arbitrary topological charge. While…
Andrea CaglieroSep 14, 2019
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The spinning particles -- classical description
The classical model of spinning particle is analyzed in details in two versions - with single spinor and two spinors put on the trajectory. Equations of motion of the first version are easily…
Cezary J. Walczyk, Zbigniew HasiewiczSep 13, 2019
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Wave transmission across surface interfaces in lattice structures
Within the lattice dynamics formulation, we present an exact solution for anti-plane surface waves in a square lattice strip with a surface row of material particles of two types separated by a…
Basant Lal Sharma, Victor A. EremeyevSep 13, 2019
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Stationary phase approximation for the Mach surface of superluminally moving source
Theoretical study of superluminal sources of electromagnetic radiation boosted after the discovery of Cherenkov-Vavilov radiation. Later, the way to create fictitious sources moving superluminally…
V. V. Achkasov, M. Ye. ZhuravlevSep 12, 2019
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Sustained rotation in a vibrated disk with asymmetric supports
A single frictional elastic disk, supported against gravity by two others, rotates steadily when the supports are vibrated and the system is tilted with respect to gravity. Rotation is here studied…
Gonzalo G. Peraza-Mues, Cristian F. MoukarzelSep 9, 2019
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Relativity and Aberration
The established way of looking at special relativity is based on Einstein postulates: the principle of relativity and the constancy of the velocity of light. In the most general geometric approach to…
Evgeny SaldinSep 6, 2019
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Wave scattering properties of multiple weakly-coupled complex systems
The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple…
Shukai Ma, Bo Xiao, Zachary Drikas et al.Sep 6, 2019
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On transformations and graphic methods of algebraically 3 dimensional force, velocity and displacement systems
In engineering practice one often encounters planar problems, where the corresponding vector space of forces, velocities or (infinitesimal) displacements is three dimensional. This paper shows how…
Tamás BaranyaiSep 5, 2019
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Unified discrete approach of acceleration conservation
Discrete mechanics is used to present fluid mechanics, fluid-structure interactions, electromagnetism and optical physics in a coherent theoretical and numerical approach. Acceleration considered as…
Jean-Paul CaltagironeSep 5, 2019
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Configurational forces and nonlinear structural dynamics
Configurational, or Eshelby-like, forces are shown to strongly influence the nonlinear dynamics of an elastic rod constrained with a frictionless sliding sleeve at one end and with an attached mass…
Costanza Armanini, Francesco Dal Corso, Diego Misseroni et al.Sep 5, 2019
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On Λ-Elastica
In this paper, we investigate a transition from an elastica to a piece-wised elastica whose connected point defines the hinge angle ϕ0; we refer the piece-wised elastica Λϕ0-elastica or…
Shigeki Matsutani, Hiroshi Nishiguchi, Kenji Higashida et al.Sep 4, 2019
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Feasible Rotator Using Zero Index Metamaterials and Perfect Electric Conductors
We report the design of a new electromagnetic device with a new mapping function to have simultaneous electromagnetic concentration and rotation using a singular radial mapping. We implement such a…
M. M. Sadeghi, H. NadgaranAug 31, 2019
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An Integrodifferential Equation for Electromagnetic Fields in Linear Dispersive Media
We extend the usual derivation of the wave equation from Maxwell's equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive…
V. A. Coelho, F. S. S. Rosa, Reinaldo de Melo e Souza et al.Aug 27, 2019
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Revisiting the Coulomb-Damped Harmonic Oscillator
The force of dry friction is studied extensively in introductory physics but its effect on oscillations is hardly ever mentioned. Instead, to provide a mathematically tractable introduction to…
Joseph A RizcallahAug 26, 2019
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