The magnetic scalar potential and demagnetization vector for a cylinder tileA closed-form solution for the magnetic scalar potential generated by a uniformly magnetized cylindrical slice and a full cylinder is determined by solving Poisson's equation analytically. The…Rasmus Bjørk·Jan 19, 2025SaveLearn
The magnetic scalar potential for a rectangular prismWe analytically solve Poisson's equation for the magnetic scalar potential generated by a uniformly magnetized rectangular prism and determine a closed-form solution for the magnetic scalar potential…Berian James, Stefan Pollok, Jes Frellsen et al.·Jan 19, 2025SaveLearn
Asymptotically exact theory of functionally graded elastic beamsWe construct a one-dimensional first-order theory for functionally graded elastic beams using the variational-asymptotic method. This approach ensures an asymptotically exact one-dimensional…Khanh Chau Le, Tuan Minh Tran·Jan 18, 2025SaveLearn
Poincare invariant interaction between two Dirac particlesThe spinning electron-electron interaction is described in classical terms by means of two possible classical interactions: The instantaneous Coulomb interaction between the charge centers of both…Juan Barandiaran, Martin Rivas·Jan 14, 2025SaveLearn
Dressed Subsystems in Classical GravityThis paper considers the problem of consistently defining subsystems in gravitational theories. It is argued that a subsystem is a spacetime subregion in which the observables form a closed Poisson…Pranav Pulakkat·Jan 14, 2025SaveLearn
Equilibrium of circular von-Kármán plate bonded with Kirchhoff rodA circular von Karman plate is considered bonded at its boundary to a circular Kirchhoff rod via a hinge like junction. There is a mismatch of dimension between the rod and the plate boundary in…Deepankar Das, Basant Lal Sharma·Jan 14, 2025SaveLearn
Lyapunov-Schmidt bifurcation analysis of a supported compressible elastic beamThe archetypal instability of a structure is associated with the eponymous Euler beam, modeled as an inextensible curve which exhibits a supercritical bifurcation at a critical compressive load. In…Ee Hou Yong, L. Mahadevan·Jan 14, 2025SaveLearn
Optimal multipole center for subwavelength acoustic scatterersThe multipole expansion is a powerful framework for analyzing how subwavelength-size objects scatter waves in optics or acoustics. The calculation of multipole moments traditionally uses the…Nikita Ustimenko, Carsten Rockstuhl, Alexander V. Kildishev·Jan 10, 2025SaveLearn
Remarks on classical pseudo-electrodynamicsClassical studies as the conservation laws and the radiation fields are investigated in the pseudo-electrodynamics. We explore the action symmetry under infinitesimal transformations to obtain the…S. Duque Cesar, M. J. Neves·Jan 10, 2025SaveLearn
Material instability and subsequent restabilization from homogenization of periodic elastic latticesTwo classes of non-linear elastic materials are derived via two-dimensional homogenization. These materials are equivalent to a periodic grid of axially-deformable and axially-preloaded structural…Davide Bigoni, Andrea Piccolroaz·Jan 9, 2025SaveLearn
Inflation and instabilities of a spherical magnetoelastic balloonThis study explores the instabilities during the axisymmetric inflation of an initially spherical magnetoelastic balloon, modeled as a magnetizable Ogden material, under combined internal pressure…Nadeem Karim Shaikh, Ganesh Tamadapu·Jan 9, 2025SaveLearn
Spectral bounds on the entropy flow rate and Lyapunov exponents in differentiable dynamical systemsSome microscopic dynamics are also macroscopically irreversible, dissipating energy and producing entropy. For many-particle systems interacting with deterministic thermostats, the rate of…Swetamber Das, Jason R. Green·Jan 8, 2025SaveLearn
Acoustic angular sorting of resonant subwavelength particlesWe suggest a dynamical mechanism for angular sorting of subwavelength particles in accord with their resonances and sizes, realised with the forces imposed by acoustic (ultrasound) waves with…Ivan Toftul, Yuri Kivshar, Mikhail Lapine·Jan 8, 2025SaveLearn
Driven damped harmonic oscillator revisited: energy resonanceWe derive the exact expression for the resonant frequency of the time-averaged steady-state energy and show that this frequency is excellently approximated by the arithmetic mean of the amplitude and…Karlo Lelas, Nikola Poljak·Jan 8, 2025SaveLearn
Alternative writings of classical elastodynamics equations as a first order symmetric systemWe explore alternative writings of the equations of classical elastodynamics as a first order symmetric system. In the one dimensional case we present symmetric writings with respect to: i) the…Dimitris Sfyris·Jan 8, 2025SaveLearn
Spinor formulation of the Landau-Lifshitz-Gilbert equation with geometric algebraThe Landau-Lifshitz-Gilbert equation for magnetization dynamics is recast into spinor form using the real-valued Clifford algebra (geometric algebra) of three-space. We show how the undamped case can…Kristjan O. Klausen, Snorri Ingvarsson·Jan 7, 2025SaveLearn
Magnetic moments in the Poynting theorem, Maxwell equations, Dirac equation, and QEDThis paper examines the theory of electron magnetic dipole moment interactions with magnetic fields or other electrons in classical and quantum electrodynamics. We show that these interactions may be…Peter J Mohr·Jan 2, 2025SaveLearn
About the Keplerization of motion in any central force fieldThe method of keplerization of one-body motion in any central force field, introduced by Martinusi and Gurfil in 2012, is reviewed and reformulated into a general homogenization method which applies…Christian Carimalo·Jan 2, 2025SaveLearn
Dirac-von Neumann Type Axiomatic Structure for Classical ElectromagnetismWe demonstrate the existence of a complex Hilbert Space with Hermitian operators for calculations in classical electromagnetism that parallels the Hilbert Space of quantum mechanics. The…Daniel W. Piasecki·Dec 31, 2024SaveLearn
Analysis of nonlinear dynamics in a single magnetic pendulum driven by plate-magnet interactionWe analyzed theoretically the nonlinear dynamics of a strong magnetic pendulum consisting of a cylindrical neodymium magnet swinging into a metal plane. The heavy damping of oscillations of the…Hoang X. Nguyen, Duy V. Nguyen·Dec 31, 2024SaveLearn
Nondipole interaction between two uniformly magnetized spheres and its relation to superconducting levitationAnalytically solving the magnetostatic Maxwell equations in the bispherical coordinates, we calculate the magnetic field around two uniformly magnetized spheres oriented so that their magnetic…Denis Nikolaevich Sob'yanin·Dec 28, 2024SaveLearn
Pulse-induced memory-like effect in cyclotron motion?We study how a charged particle moving in a uniform magnetic field along its standard circular path (cyclotron motion) reacts to a short-duration, homogeneous, uniform electric field pulse injected…Sayan Kar·Dec 27, 2024SaveLearn
The Second Law as a constraint and admitting the approximate nature of constitutive assumptionsA scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An…Amit Acharya·Dec 27, 2024SaveLearn
Derivation of an Analytical Solution of a Forced Cantilevered Tube Conveying FluidIn this paper, an analytical technique is proposed to obtain the forced response of a cantilevered tube conveying fluid. By considering the pipe subjected to an arbitrary harmonic force, either…Moussa Tembely·Dec 27, 2024SaveLearn
The non-standad logic of physics: the case of the Boltzmann-Sinai hard-sphere systemOne of the most challenging and fascinating issues in mathematical and theoretical physics concerns identifying the common logic, if any, which underlies the physical world. More precisely, this…Massimo Tessarotto, Claudio Cremaschini, Claudio Asci et al.·Dec 27, 2024SaveLearn