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Classical Physics papers — page 55

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Dispersion forces in the Lifshitz problem
We present a sequential derivation of the dispersion forces for the Lifshitz problem, based on the field mode matching technique. The results for the dispersion force on the base of the…
Michael V. DavidovichJan 22, 2021
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Lagrangian and Hamiltonian Formulation of Classical Electrodynamics without Potentials
In the standard Lagrangian and Hamiltonian approach to Maxwell's theory the potentials Aμ are taken as the dynamical variables. In this paper I take the electric field E and the…
Dan N. VollickJan 21, 2021
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Spatio-temporal characterization of causal electrophysiological activity stimulated by single pulse focused ultrasound: An ex vivo study on hippocampal brain slices
Objective: The brain operates via generation, transmission and integration of neuronal signals and most neurological disorders are related to perturbation of these processes. Neurostimulation by…
Ivan Suarez-Castellanos, Elena Dossi, Jeremy Vion-Bailly et al.Jan 18, 2021
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From Kepler's Laws to Newtonian Motion and the Direction Angle of Hamilton's Hodograph
In this contribution it is shown that the path from Kepler's results to Newtonian motion can be remarkably short and simple. Following this path we also give a straight forward computation of the…
Klaus HuberJan 13, 2021
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Consistent polynomial expansions of stored energy function for incompressible hyperelastic materials
In the article, hyperelastic material models which state consistent polynomial expansions of the stored energy function are discussed. The approach follows from the muliplicative decomposition of the…
Aleksander Franus, Staniław JemiołoJan 12, 2021
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Excitation of resonant surface plasmons for evanescent waves refocusing by a superlens
The amplification of evanescent waves by flat superlens requires a near-resonance coupling which has been linked to resonant surface plasmons. A subtle interplay has been proposed to exist between…
Ali IsaJan 12, 2021
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Characteristics of Equilibrated Nonlinear Oscillator Systems
During the evolution of coupled nonlinear oscillators on a lattice, with dynamics dictated by the discrete nonlinear Schrödinger equation (DNLSE systems), two quantities are conserved: system energy…
Uri LevyJan 11, 2021
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Analytical solution for two-dimensional Laplace's equation in a shallow domain containing coplanar interdigitated boundaries
Laplace's equation appears frequently in physical applications involving conservable quantities. Among these applications, miniaturized devices have been of interest, in particular those using…
Cristian F. Guajardo Yévenes, Werasak SurareungchaiJan 11, 2021
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A shadow of the repulsive Rutherford scattering and Hamilton vector
The fact that repulsive Rutherford scattering casts a paraboloidal shadow is rarely exploited in introductory mechanics textbooks. Another rarely used construction in such textbooks is the Hamilton…
D. A. Shatilov, Z. K. SilagadzeJan 10, 2021
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Effective potential of a spinning heavy symmetric top when magnitudes of conserved angular momenta are not equal
There are various types of motion of a heavy symmetric top like regular precession, cusp like motion, rise of the top, etc. One of the tools used to understand that motion is effective potential. The…
Vedat TanrıverdiJan 9, 2021
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Classical mechanics and infinitesimal reducibility
We briefly show how classical mechanics can be rederived and better understood as a consequence of three assumptions: infinitesimal reducibility, deterministic and reversible evolution, and kinematic…
Gabriele Carcassi, Christine A. AidalaJan 6, 2021
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The falling pencil: a "Divertimento" in four movements
The dynamics of a simple pencil with a tip laid on a rough table and set free to fall under the action of gravity is scrutinized as a pedagogic case study. The full inquiry is anticipated by a review…
Nicola Cufaro PetroniJan 5, 2021
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Angles in the SI: treating the radian as an independent, unhidden unit does not require the redefinition of the term frequency or the unit hertz
Some recent papers have argued that frequency should have the dimensions of angle/time, with the consequences that 1 Hz = 2π rad/s instead of 1 s-1, and also that ν= ω and h = . This…
Paul QuinceyJan 4, 2021
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An implicit constitutive relation in which the stress and the linearized strain appear linearly, for describing the small displacement gradient response of elastic solids
In this short note we develop a constitutive relation that is linear in both the Cauchy stress and the linearized strain, by linearizing implicit constitutive relations between the stress and the…
K. R. RajagopalJan 4, 2021
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A chemo-mechano-thermodynamical contact theory for adhesion, friction and (de)bonding reactions
This work presents a self-contained continuum formulation for coupled chemical, mechanical and thermal contact interactions. The formulation is very general and hence admits arbitrary geometry,…
Roger A. Sauer, Thang X. Duong, Kranthi K. MandadapuDec 29, 2020
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Active Electric Dipole Energy Sources: Transduction via Electric Scalar and Vector Potentials
An active electrical network contains a voltage or current source that creates electromagnetic energy through a method of transduction that enables the separation of opposite polarity charges from an…
Michael E. Tobar, Raymond Y. Chiao, Maxim GoryachevDec 29, 2020
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Waveform-Selective Mantle Cloaks for Intelligent Antennas
We present the design of an innovative wire antenna able to automatically hide or reveal its presence depending on the waveform of the received/transmitted signal. This unconventional behavior is…
Stefano Vellucci, Alessio Monti, Mirko Barbuto et al.Dec 29, 2020
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A Shell Frictionally Coupled to an Elastic Foundation and a Comparison Against the Two-Body Coulomb's Law of Static Friction
In this article, we derive a model for a shell that is frictionally coupled to an elastic foundation. We use Kikuchi and Oden's model for Coulomb's law of static friction to derive a…
Kavinda JayawardanaDec 24, 2020
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Generalized Potential and Mathematical Principles of Nonlinear Analysis
In the past hundred years, chaos has always been a mystery to human beings, including the butterfly effect discovered in 1963 and the dissipative structure theory which won the chemistry Nobel Prize…
Peng YueDec 24, 2020
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Exceptional points of degeneracy in traveling wave tubes
Traveling wave tube (TWT) is a powerful vacuum electronic device used to amplify radio-frequency (RF) signals with numerous applications, including radar, television and telephone satellite…
Alexander FigotinDec 23, 2020
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A Critical Study of Efrati et al.'s Elastic Theory of Unconstrained non-Euclidean Plates
In our analysis, we show that Efrati et al.'s publication is inconsistent with the mathematics of plate theory. However it is more consistent with the mathematics of shell theory, but with an…
Kavinda JayawardanaDec 23, 2020
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A Critical Study of Howell et al.'s Nonlinear Beam Theory
In our analysis, we show that Howell et al.'s nonlinear beam theory does not depict a representation of the Euler-Bernoulli beam equation, nonlinear or otherwise. The authors' nonlinear beam…
Kavinda JayawardanaDec 23, 2020
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Covariant formulation of electrodynamics in isotropic media
The equations of electromagnetic fields in a medium is usually written in the rest frame of the medium. We outline a method of generalizing the discussion to arbitrary inertial frames. In the…
Palash B. PalDec 23, 2020
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A Generalisation of the Capstan Equation and a Comparison Against Kikuchi and Oden's Model for Coulomb's Law of Static Friction
In this article, we extend the capstan equation to non-circular geometries. We derive a closed form solution for a membrane with a zero Poisson's ratio (or a string with an arbitrary…
Kavinda JayawardanaDec 22, 2020
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On the consistency of the Lagrange multiplier method in classical mechanics
Problems involving rolling without slipping or no sideways skidding, to name a few, introduce velocity-dependent constraints that can be efficiently treated by the method of Lagrange multipliers in…
Nivaldo A. Lemos, Marco MoriconiDec 21, 2020
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