Structural parts as quadrics -- elasticity ellipses revisitedElasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions…Tamás Baranyai·Sep 30, 2020SaveLearn
On-demand coherent perfect absorption in complex scattering systems: time delay divergence and enhanced sensitivity to perturbationsNon-Hermitian photonic systems capable of perfectly absorbing incident radiation recently attracted much attention both because fundamentally they correspond to an exotic scattering phenomenon (a…Philipp del Hougne, K. Brahima Yeo, Philippe Besnier et al.·Sep 30, 2020SaveLearn
Effective Waves for Random Three-dimensional Particulate MaterialsHow do you take a reliable measurement of a material whose microstructure is random? When using wave scattering, the answer is often to take an ensemble average (average over time or space). By…Artur Lewis Gower, Gerhard Kristensson·Sep 30, 2020SaveLearn
How T-invariance violation leads to an enhanced backscattering with increasing openness of a wave-chaotic systemWe report on the experimental investigation of the dependence of the elastic enhancement, i.e., enhancement of scattering in backward direction over scattering in other directions of a wave-chaotic…Malgorzata Bialous, Barbara Dietz, Leszek Sirko·Sep 28, 2020SaveLearn
Coefficient of restitution: Derivation of Newtonś Experimental Law from general energy considerationsIn order to describe the velocity of two bodies after they collide, Newton developed a phenomenological equation known as "Newton\' s Experimental Law" (NEL). In this way, he was able to…Avi Marchewka·Sep 24, 2020SaveLearn
Hamiltonian thermodynamicsIt is believed that thermodynamic laws are associated with random processes occurring in the system and, therefore, deterministic mechanical systems cannot be described within the framework of the…Sergey Rashkovskiy·Sep 21, 2020SaveLearn
Wave propagation in micromorphic anisotropic continua with an application to tetragonal crystalsWe study the coupled macroscopic and lattice wave propagation in anisotropic crystals seen as continua with affine microstructure (or micromorphic). In the general case we obtain qualitative…Fabrizio Daví·Sep 21, 2020SaveLearn
Design and characterization of an instrumented slider aimed atmeasuring local micro-impact forces between dry rough solidsSliding motion between two rough solids under light normal loading involves myriad micro-impacts between antagonist micro-asperities. Those micro-impacts are at the origin of many emerging…Camille Grégoire, Bernard Laulagnet, Joël Perret Liaudet et al.·Sep 15, 2020SaveLearn
Conflict Between Classical Mechanics and Electromagnetism: The Harmonic Oscillator in Equilibrium with a BathIt is pointed out that an electric charge oscillating in a one-dimensional purely-harmonic potential is in detailed balance at its harmonics with a radiation bath whose energy Urad per normal…Timothy H. Boyer·Sep 12, 2020SaveLearn
Variational principles of nonlinear magnetoelastostatics and their correspondencesWe derive the equations of nonlinear magnetoelastostatics using several variational formulations involving the mechanical deformation and an independent field representing the magnetic component. An…Basant Lal Sharma, Prashant Saxena·Sep 11, 2020SaveLearn
Discrepancy between power radiated and the power loss due to radiation reaction for an accelerated chargeWe examine here the discrepancy between the radiated power, calculated from the Poynting flux at infinity, and the power loss due to radiation reaction for an accelerated charge. It is emphasized…Ashok K. Singal·Sep 10, 2020SaveLearn
A shadow of the repulsive Rutherford scattering in the fixed-target and the center-of-mass frameThe paper explores the shadow of the repulsive Rutherford scattering - the portion of space entirely shielded from admitting any particle trajectory. The geometric properties of the projectile shadow…Petar Žugec, Ivan Topić·Sep 8, 2020SaveLearn
Field-theory spin and momentum in water wavesSpin is a fundamental yet nontrivial intrinsic angular-momentum property of quantum particles or fields, which appears within relativistic field theory. The spin density in wave fields is described…K. Y. Bliokh, H. Punzmann, H. Xia et al.·Sep 7, 2020SaveLearn
Generating Steady-State Chain FountainsIn recent years the chain fountain became prominent for its counter-intuitive fascinating physical behavior. Most widely known is the experiment in which a long chain leaves an elevated beaker like a…Johannes Mayet, Friedrich Pfeiffer·Aug 31, 2020SaveLearn
Finite and divergent parts of the self-force of a point charge from its spherically averaged self-fieldThe electromagnetic self-force of a point charge moving arbitrarily on a rectilinear trajectory is calculated by averaging its retarded electric self-field over a sphere of infinitesimal radius…V. Hnizdo, G. Vaman·Aug 30, 2020SaveLearn
The mass-energy relation and the Doppler shift of a relativistic light sourceThis work considers the cospectral and arbitrary light emission of a moving source. The observed wavelengths of the emitted photons are described in term of kinematic and dynamical Doppler shifts in…Ademir Xavier·Aug 30, 2020SaveLearn
Seven derivations of the Lambert-Beer lawSeven derivations of the Lambert-Beer law are proposed in this paper. They were designed to be simple and intuitive. Most of them are suitable for the classroom. Readers can also benefit from them by…Hernán R. Sánchez·Aug 29, 2020SaveLearn
Pulse dynamics of flexural waves in transformed platesCoordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic…Kun Tang, Chenni Xu, Sebastien Guenneau et al.·Aug 27, 2020SaveLearn
A Magnetic Velocity Verlet MethodWe discuss an extension of the velocity Verlet method that accurately approximates the kinetic-energy-conserving charged particle motion that comes from magnetic forcing. For a uniform magnetic…A. Chambliss, J. Franklin·Aug 26, 2020SaveLearn
Stability in the higher derivative Abelian gauge field theoryWe present the derivation of conserved tensors associated to higher-order symmetries in the higher derivative Maxwell Abelian gauge field theories. In our model, the wave operator of the higher…Jialiang Dai·Aug 25, 2020SaveLearn
Electromagnetic radiation and the self torque of an oscillating magnetic dipoleA uniformly-charged spherical shell of radius R, mass m, and total electrical charge q, having an oscillatory angular velocity Ω(t) around a fixed axis, is a model for a magnetic dipole that…Masud Mansuripur, Per K. Jakobsen·Aug 25, 2020SaveLearn
An exact derivation of the Thomas precession rate using the Lorentz transformationUsing the standard formalism of Lorentz transformation of the special theory of relativity, we derive the exact expression of the Thomas precession rate for an electron in a classical circular orbit…Masud Mansuripur·Aug 24, 2020SaveLearn
Finding the strongest stable weightless column with a follower load and relocatable concentrated massesWe consider the problem of optimal placement of concentrated masses along a massless elastic column that is clamped at one end and loaded by a nonconservative follower force at the free end. The goal…Oleg N. Kirillov, Michael L. Overton·Aug 21, 2020SaveLearn
Particle sliding on a turntable in the presence of frictional forcesMotion of a point particle sliding on a turntable is studied. The equations of motion are derived assuming that the table exerts frictional force on the particle, which is of constant magnitude and…Akshat Agha, Sahil Gupta, Toby Joseph·Aug 20, 2020SaveLearn
Electromagnetic radiation and the self field of a spherical dipole oscillatorFor an oscillating electric dipole in the shape of a small, solid, uniformly-polarized, spherical particle, we compute the self-field as well as the radiated electromagnetic field in the surrounding…Masud Mansuripur, Per K. Jakobsen·Aug 20, 2020SaveLearn