Diffusion in Phase Space as a Tool to Assess Variability of Vertical Centre-of-Mass Motion During Long-Range WalkingWhen a Hamiltonian system undergoes a stochastic, time-dependent anharmonic perturbation, the values of its adiabatic invariants as a function of time follow a distribution whose shape obeys a…N. Boulanger, F. Buisseret, V. Dehouck et al.·Jan 5, 2023SaveLearn
Objectivity in continuum mechanics, an introduction. Motions, Eulerian and Lagrangian variables and functions, deformation gradient, Lie derivatives, velocity-addition formula, CoriolisIn classical mechanics, there are two objectivities: The ``isometric objectivity'' which concerns the constitutive laws of materials once expressed in a reference frame, and the ``covariant…Gilles Leborgne·Jan 3, 2023SaveLearn
Bond-based nonlocal models by nonlocal operator method in symmetric support domainThis paper is concerned with the energy decomposition of various nonlocal models, including elasticity, thin plates, and gradient elasticity, to arrive at bond-based nonlocal models in which the bond…Huilong Ren, Timon Rabczuk, Xiaoying Zhuang et al.·Jan 2, 2023SaveLearn
Self-consistent magnetic fields and currentsThe possibility of the existence of quasi-stationary electromagnetic fields in plasma supported by their own self-consistent current follows from Maxwell's equations with field sources. These…Yurii A. Spirichev·Dec 27, 2022SaveLearn
Classical Lagrange formalism for non-conservative dynamical systemsThe classical Lagrange formalism is generalized to the case of arbitrary stationary (but not necessarily conservative) dynamical systems. It is shown that the equations of motion for such systems can…Alex Ushveridze·Dec 21, 2022SaveLearn
No Proca PhotonsWe show that the Proca equation in vacuum, as well as its plausible modifications in dielectric media, is incompatible with experimental evidence, no matter how small the Proca mass is.Florian Steininger, Thomas Mieling, Piotr T. Chruściel·Dec 20, 2022SaveLearn
Acoustic scattering from a wave-bearing cavity with flexible inlet and outletIn this article, we substantiate the appositeness of the mode-matching technique to study the scattering response of bridging elastic plates connecting two flexible duct regions of different…Muhammad Afzal, Hazrat Bilal, Naveed Ahmed et al.·Dec 19, 2022SaveLearn
Characteristics of partially filled Helmholtz resonatorsIn this work we have developed a technique for the measurement of the resonance curve of Helmholtz resonators as a function of filling with beads and sands of different sizes, and water as the…M. V. Indenbom, S. P. Pogossian·Dec 17, 2022SaveLearn
Minimally driven Kapitza oscillator: A pedagogical perspective from Newtonian mechanics and geometryThe unstable top-equilibrium point of a simple pendulum turns stable when its pivot point is given a fast and strong enough vertical vibration. Known as the Kapitza oscillator, it has four…Mainak Pal·Dec 15, 2022SaveLearn
A systematic search for a three-velocity gyrodistributive law in special relativity with the lorentz R packageHere I present the lorentz package for working with relativistic physics. The package includes functionality for four-vector transformations, three-velocity addition, and other relativistic processes…Robin K. S. Hankin·Dec 14, 2022SaveLearn
Non-smooth dynamics of buckling based metainterfaces: rocking-like motion and bifurcationsThe non-smooth dynamics is investigated for an elastic planar metainterface composed by two layers of buckling elements, each one allowing motion on one side only. Through the analogy between…Nikolin Hima, Francesco D' Annibale, Francesco Dal Corso·Dec 12, 2022SaveLearn
A Virtual Acoustic Black Hole on a Cantilever BeamAn acoustic black hole (ABH) consists of a tapered structure whose thickness follows a power-law profile. When attached to a host structure, an ABH localizes and traps the vibrational energy, which…Samuel Quaegebeur, Ghislain Raze, Li Cheng et al.·Dec 12, 2022SaveLearn
Runge-Lenz Vector as a 3d Projection of SO(4) Moment Map in R4×R4 Phase SpaceWe show, using the methods of geometric algebra, that Runge-Lenz vector in the Kepler problem is a 3-dimensional projection of SO(4) moment map that acts on the phase space of 4-dimensional particle…Hitoshi Ikemori, Shinsaku Kitakado, Yoshimitsu Matsui et al.·Dec 9, 2022SaveLearn
TE and TM Modes in Metallic Waveguide Filled With a Lossless and Fully Anisotropic MediumThis letter gives a condition for the existence of the pure TE and TM modes in the metallic waveguide filled with a homogeneous, fully anisotropic and lossless medium. The condition is a relation…Wei Jiang, Jie Liu·Dec 8, 2022SaveLearn
Milankovitch equations with spinorsWe investigate the use of spinors to describe the secular evolution of quasi-Keplerian systems. Evaluating their Poisson brackets, we show that the components of a properly-chosen spinor are…Barnabás Deme, Jean-Baptiste Fouvry·Dec 8, 2022SaveLearn
A Revisit to Lorentz Transformation without LightWe derive rotation free Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in…Satadal Datta·Dec 5, 2022SaveLearn
Group classification of the two-dimensional magnetogasdynamics equations in Lagrangian coordinatesThe present paper is devoted to the group classification of magnetogasdynamics equations in which dependent variables in Euler coordinates depend on time and two spatial coordinates. It is assumed…S. V. Meleshko, E. I. Kaptsov, S. Moyo et al.·Dec 4, 2022SaveLearn
Brachistochrone of off-centered cylindersWe consider the problem of finding paths of shortest transit time between two points (popularly known as Brachistochrone) for cylinders with off-centered center of mass, rolling down without slip,…Krishnaraj Sambath, Vidhya Nagarajan·Dec 1, 2022SaveLearn
Numerical simulation of non-central collisions of spherical magnetsWe present a computational model of non-central collisions of two spherical neodymium-iron-boron magnets, suggested as a demonstration of angular momentum conservation. Our program uses an attractive…Sean P. Bartz, Jacob Shaw·Dec 1, 2022SaveLearn
Temporal shaping of wave fields for optimally precise measurements in scattering environmentsA wave propagating through a scattering medium typically yields a complex temporal field distribution. Over the years, a number of procedures have emerged to shape the temporal profile of the field…Dorian Bouchet, Emmanuel Bossy·Nov 30, 2022SaveLearn
Experimental demonstration of superdirective spherical dielectric antennaAn experimental demonstration of directivities exceeding the fundamental Kildal limit, a phenomenon called superdirectivity, is provided for spherical high-index dielectric antennas with an electric…Roman Gaponenko, Mikhail S. Sidorenko, Dmitry Zhirihin et al.·Nov 30, 2022SaveLearn
Boundary effects in Radiative Transfer of acoustic waves in a randomly fluctuating half-spaceThis paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects…Adel Messaoudi, Regis Cottereau, Christophe Gomez·Nov 30, 2022SaveLearn
A buckling questionAlthough it is often asserted that, in view of their reduced length, axially compressible beams have a higher buckling load than their inextensible counterpart, a detailed analysis demnstrates that…Marcelo Epstein·Nov 27, 2022SaveLearn
Wave transformation -- Simulation and ApplicationThis paper focus on the theoretical analysis and simulation of electromagnetic wave transforms, which is widely encountered in teaching physics. When the electromagnetic wave is not consistent with…Yinpeng Wang·Nov 25, 2022SaveLearn
Multiphase Unified Flash Analysis and Stability Algorithm (MUFASA): An Open-Source SoftwareThis paper is the manual for an open source software that performs multiphase split calculations. The provided software performs two-phase, three-phase and four-phase flash calculations. The…Ali Zidane·Nov 25, 2022SaveLearn