Invariant temperature of a moving bodyThe temperature of a mechanical body has a kinetic interpretation: it describes the relative motion of particles within the body. Since the relative velocity of two particles is a Lorentz invariant,…Nikodem Popławski·Feb 14, 2019SaveLearn
On the formulas for effective stiffnesses in a paper by Zheng Ye, Victor L. Berdichevsky and Wenbin YuA paper by Ye, Berdichevsky and Yu features a set of formulas for effective stiffnesses of corrugated plates. Without elaborating on said authors' actual approach leading to such formulas, we…A. A. Kolpakov, A. G. Kolpakov·Feb 13, 2019SaveLearn
Contribution of field measurements in the study of composites reinforced with flax fibers during quasi-static tensile testsThis work is based on the study of the behaviour of flax fibres twill reinforced epoxy composites. The aim of the study is to determine the modulus of elasticity, Poisson coefficients and strength of…Amélie Cuynet, Franck Toussaint, Emile Roux et al.·Feb 13, 2019SaveLearn
Electromagnetic self-force of a point charge from the rate of change of the momentum of its retarded self-fieldThe self-force of a point charge moving on a rectilinear trajectory is obtained, with no need of any explicit removal of infinities, as the negative of the time rate of change of the momentum of its…V. Hnizdo, G. Vaman·Feb 12, 2019SaveLearn
Modes of an elliptical cylindrical resonant cavity -- analytical solutionAn analytical solution of the Helmholtz equation for electromagnetic field distribution in a resonant cavity with elliptic cross-section is found. We compare the frequencies of the eigenmodes with…Mihael S. Grbić·Feb 12, 2019SaveLearn
Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modesRecently, it was shown that surface electromagnetic waves at interfaces between continuous homogeneous media (e.g., surface plasmon-polaritons at metal-dielectric interfaces) have a topological…Konstantin Y. Bliokh, Franco Nori·Feb 10, 2019SaveLearn
Mathematical model of a flow of reacting substances in a channel of networkComplex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are…Nikolay K. Vitanov, Kaloyan N. Vitanov, Zlatinka I. Dimitrova·Feb 9, 2019SaveLearn
Self-field, radiated energy, and radiated linear momentum of an accelerated point charge (Part 2)Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge…Masud Mansuripur·Feb 7, 2019SaveLearn
A Comparative Study of magneto-thermo-elastic wave propagation in a finitely conducting medium under thermoelasticity of type I, II, IIIThe present work is concerned with the propagation of electro-magneto-thermoelastic plane waves of assigned frequency in a homogeneous isotropic and finitely conducting elastic medium permeated by a…Rakhi Tiwari, J. C. Mishra·Feb 6, 2019SaveLearn
Introducing the Hamiltonian as a "thermodynamic" potentialA conceptually simple physical interpretation of a conserved Hamiltonian H for a mechanical system with a time-dependent constraint is given. For the case of a bead on a vertical hoop…Víctor F. Correa·Feb 6, 2019SaveLearn
Stability Catalyzer for a Relativistic Non-Topological Soliton SolutionFor a real nonlinear Klein-Gordon Lagrangian density with a special solitary wave solution (SSWS), which is essentially unstable, it is shown how adding a proper additional massless term could…Mohammad Mohammadi·Feb 5, 2019SaveLearn
The classical counterpart of the Aharonov-Bohm phaseThe existence of the Aharonov-Bohm phase shows that the magnetic field may produce nonlocal effects in quantum mechanics. It is generally believed that such a nonlocal behavior of the magnetic field…Ricardo Heras·Feb 5, 2019SaveLearn
A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomenaA gauge theory of solids with conformal symmetry is formulated to model various electromechanical and magnetomechanical coupling phenomena. If the pulled back metric of the current configuration (the…Pranesh Roy, J N Reddy, Debasish Roy·Feb 3, 2019SaveLearn
Three-line derivation of the Thomas precessionInstantaneous derivation of the Thomas precession.Paweł Lewulis, Andrzej Dragan·Feb 1, 2019SaveLearn
Another Counter-Example to Dirac's ConjectureAnother counter-example to Dirac's Conjecture is presented, which resembles the Cawley model but is so modified as to include second class constraints. The arbitrary function in the general…Takayuki Hori·Jan 31, 2019SaveLearn
Zero Rest Mass Soliton SolutionsIn this paper, extended Klein-Gordon field systems will be introduced. Theoretically, it will be shown that for a special example of these systems, it is possible to have a single zero rest mass…Mohammad. Mohammadi, Rohollah. Gheisari·Jan 29, 2019SaveLearn
Scattering theory and cancellation of gravity-flexural waves of floating platesWe combine theories of scattering for linearized water waves and flexural waves in thin plates to characterize and achieve control of water wave scattering using floating plates. This requires…Mohamed Farhat, Pai-Yen Chen, Hakan Bagci et al.·Jan 28, 2019SaveLearn
Long-Range Longitudinal Electric Wave in Vacuum Radiated by Electric Dipole: Part IIIIn this paper, radiation due to standing wave currents are considered for the electric dipole. Assumptions that wavelength is much smaller than the dipole separation distance, which in turn is much…Altay Zhakatayev, Leila Tlebaldiyeva·Jan 26, 2019SaveLearn
Spin and orbital angular momenta of acoustic beamsWe analyze spin and orbital angular momenta in monochromatic acoustic wave fields in a homogeneous medium. Despite being purely longitudinal (curl-free), inhomogeneous acoustic waves generically…Konstantin Y. Bliokh, Franco Nori·Jan 24, 2019SaveLearn
Transmissive Suppressed-Order Diffraction Grating (SODG)We present a novel type of Suppressed-Order Diffraction Grating(SODG). An SODG is a diffraction grating whose diffraction orders have all been suppressed except one that is selected to provide…Ashutosh Patri, Guillaume Lavigne, Christophe Caloz·Jan 24, 2019SaveLearn
Analytical ray-tracing in planetary atmospheresGround-based astro-geodetic observations and atmospheric occultations, are two examples of observational techniques requiring a scrutiny analysis of atmospheric refraction. In both cases, the…Adrien Bourgoin, Marco Zannoni, Paolo Tortora·Jan 24, 2019SaveLearn
Independence of Maxwell's equations: A Bäcklund-transformation viewIt is now widely accepted that the Maxwell equations of Electrodynamics constitute a self-consistent set of four independent partial differential equations. According to a certain school of thought,…C. J. Papachristou, A. N. Magoulas·Jan 23, 2019SaveLearn
Determination of Power of Groove fields belonging to the wedge regions adjacent to a convex triangular obstacle associated with Dirichlet conditions subject to axially independent EM fieldsA convex triangular obstacle forms a vital part of a periodic echellete grating. A triangular grating is characterized by three parameters like period, depth and flare angle. Knowledge of groove…Sanjay Kumar, Suresh K. Shukla·Jan 23, 2019SaveLearn
Likely oscillatory motions of stochastic hyperelastic solidsStochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These models allow for the…L. Angela Mihai, Danielle Fitt, Thomas E. Woolley et al.·Jan 18, 2019SaveLearn
Throwing π at a wallWe discuss a method for calculating π using elastic collision between two masses M and m , with X = m/M = 102(1-d) where d is an integer, and a wall. The total number of…M. Z. Rafat, D. Dobie·Jan 17, 2019SaveLearn