Theories with higher-order time derivatives and the Ostrogradsky ghostNewtons second law, Schrodingers equation and Maxwells equations are all theories composed of at most second-time derivatives. Indeed, it is not often we need to take the time derivative of the…Eleonora Svanberg·Nov 24, 2022SaveLearn
Experimental realization of tunable Poisson's ratio in deployable origami metamaterialsOrigami metamaterials are known to display highly tunable Poisson's ratio values depending on their folded state. Most studies on the Poisson effects in deployable origami tessellations are…Diego Misseroni, Phanisri P. Pratapa, Ke Liu et al.·Nov 23, 2022SaveLearn
Quasinormal mode representation of radiating resonators in open phononic systemsOpen phononic systems including resonators radiating inside an unbounded medium support localized phonons characterized by a complex frequency. In this context, the concept of elastic quasinormal…Vincent Laude, Yan-Feng Wang·Nov 23, 2022SaveLearn
Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solidsSymplectic numerical schemes for reversible dynamical systems predict the solution reliably over large times as well, and are a good starting point for extension to schemes for simulating…Donát M. Takács, Áron Pozsár, Tamás Fülöp·Nov 22, 2022SaveLearn
Tutorial on basics of time-varying electromagnetic systems and circuitsDuring the last decade, possibilities to realize new phenomena and create new applications by varying system properties in time have gained increasing attention in many research fields, spanning a…G. Ptitcyn, M. S. Mirmoosa, A. Sotoodehfar et al.·Nov 22, 2022SaveLearn
On the effects of suitably designed space microstructures in the propagation of waves in time modulated compositesThe amplitude of a pulse that propagates in a homogeneous material whose properties are instantaneously changed periodically in time will undergo an exponential increase, due to the interference…Ornella Mattei, Vincenzo Gulizzi·Nov 22, 2022SaveLearn
Plea for the use of the exact Stirling formula in statistical mechanicsIn statistical mechanics, the generally called Stirling approximation is actually an approximation of Stirling's formula. In this article, it is shown that the term that is dropped is in fact the…Didier Lairez·Nov 21, 2022SaveLearn
Exact solutions to Euler's equations for rigid body motion with application to detumbling satellitesExact solutions are found for Euler's equations of rigid body motion for general asymmetrical bodies under the influence of torque by using Jacobi elliptic functions. Differential equations are…Christian Peterson·Nov 21, 2022SaveLearn
Relativistic frequency shifts in a rotating waveguideA photon source is located in a rotating waveguide. An absorber with a sharp absorbing frequency absorbs some of the emitted photons. This decreases the number of photons which are detected by a…M. Khorrami, A. H. Fatollahi, A. Shariati·Nov 20, 2022SaveLearn
Towards a phase-field model for thin structures: a coarse-grained constitutive law for brittle fracture of beamsDamage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If…Giovanni Corsi, Antonino Favata, Stefano Vidoli·Nov 19, 2022SaveLearn
The change in the direction of the electric field using the Lorentz-type transformationIn the present work, we will derive the expression for the change in direction of the electric field using the Lorentz transformation for inertial frame or un-accelerated frame. The acceleration also…Anuj Kumar Dubey, Tanay Ghosh·Nov 17, 2022SaveLearn
Roton-like dispersion via polarisation change for elastic wave energy control in graded delay-linesWhile roton dispersion relations had been restricted to correlated quantum systems at low temperature, recent works show the possibility of obtaining this unusual dispersion in acoustic and elastic…Luca Iorio, Jacopo Maria De Ponti, Federico Maspero et al.·Nov 17, 2022SaveLearn
Solving viscoelastic problems in a step-inverse Laplace transform approach supplanted with ARX models: a way to upgrade Finite Element or spectral codesFinite Element codes used for solving the mechanical equilibrium equations in transient problems associated to (time-dependent) viscoelastic media generally relies on time-discretized versions of the…Stéphane André, Camille Noûs·Nov 14, 2022SaveLearn
Conservation of all Lipkin's zilches from symmetries of the standard electromagnetic action and a hidden algebraIn 1964, Lipkin discovered the zilches, a set of conserved quantities in free electromagnetism. Among the zilches, optical chirality was identified by Tang and Cohen in 2010, serving as a measure of…Vasileios A. Letsios·Nov 13, 2022SaveLearn
Generalized Bagley-Torvik Equation and Fractional OscillatorsIn this paper the Bagley-Torvik Equation is considered with the order of the damping term allowed to range between one and two. The solution is found to be representable as a convolution of…M. G. Naber, L. Lymburner·Nov 10, 2022SaveLearn
Newtonian Gravity on an N-SphereWe consider some elementary features of Newtonian gravity, or electrostatics, as defined on an N-sphere. In particular, we present and discuss "the shell theorem" for this system.T Curtright, H Alshal·Nov 9, 2022SaveLearn
Riemann Zeroes from a Parametric Oscillator analyzed with Adiabatic Invariance, Hill Equation and the Least Action PrincipleAdiabatic Invariance (AdI), Hill Equation formalism (HEF), and the Least Action Principle (LAP), three relevant tools of theoretical physics are here separately applied to a one-dimensional…Eduardo Stella, Celso L. Ladera·Nov 8, 2022SaveLearn
A New Fundamental Asymmetric Wave Equation and its Application to Acoustic Wave PropagationThe irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave…Z. E. Musielak·Nov 4, 2022SaveLearn
Analytical Scattering Solution of Huygens' Refracting Metasurfaces Reveals Unknown FunctionalitiesScattering of refracting Huygens' metasurfaces is revisited. A new analytical closed-form solution is obtained for the two-dimensional problem under transverse electric (TE) plane-wave incidence…Gleb A. Egorov, George V. Eleftheriades·Nov 4, 2022SaveLearn
Computing zero-group-velocity points in anisotropic elastic waveguides: Globally and locally convergent methodsDispersion curves of elastic waveguides exhibit points where the group velocity vanishes while the wavenumber remains finite. These are the so-called zero-group-velocity (ZGV) points. As the…Daniel A. Kiefer, Bor Plestenjak, Hauke Gravenkamp et al.·Nov 3, 2022SaveLearn
Hints of the Photonic Nature of the Electromagnetic fields in Classical Electrodynamics and its connection to the electronic charge and vacuum energy densityThe electromagnetic fields of a long dipole working without dispersive and dissipative losses are analyzed in the frequency domains. The dipole produces radiation in bursts of duration T/2 where T is…Vernon Cooray, Gerald Cooray, Marcos Rubinstein et al.·Nov 3, 2022SaveLearn
Controlling the dispersion of longitudinal waves via the affine deformation of the interlaced wire mediumWe studied the dispersion properties of double interlaced wire metamaterials with geometry modified by affine transformation. That metamaterials were found to support eigenmodes with longitudinal…Denis Sakhno, Eugene Koreshin, Pavel A. Belov·Nov 2, 2022SaveLearn
Branched flows of flexural elastic waves in non-uniform cylindrical shellsPropagation of elastic waves along the axis of cylindrical shells is of great current interest due to their ubiquitous presence and technological importance. Geometric imperfections and spatial…Kevin Jose, Neil Ferguson, Atul Bhaskar·Nov 1, 2022SaveLearn
Maxwell's equations revisited -- mental imagery and mathematical symbolsUsing Maxwell's mental imagery of a tube of fluid motion of an imaginary fluid, we derive his equations curl E = -∂ B∂ t,…Matthias Geyer, Jan Hausmann, Konrad Kitzing et al.·Oct 31, 2022SaveLearn
Time-dependent modelling of thin poroelastic films drying on deformable platesUnderstanding the generation of mechanical stress in drying, particle-laden films is important for a wide range of industrial processes. The cantilever experiment allows the stress in a drying film…Matthew G. Hennessy, Richard V. Craster, Omar K. Matar·Oct 31, 2022SaveLearn