Acoustic Lateral Recoil Force and Stable Lift of Anisotropic ParticlesAcoustic forces and torques are of immense importance for manipulation of particles, in particular in biomedical applications. While such forces and torques are well understood for small spherical…Mikhail Smagin, Ivan Toftul, Konstantin Y. Bliokh et al.·Oct 10, 2023SaveLearn
Reduced Cristoffel's tensor and acoustic axes: Necessary and sufficient conditionAcoustic axes are spatial directions in media (often crystals) where at least two of the three acoustic waves have the same phase velocity. Identification of such directions for materials with…Yakov Itin·Oct 10, 2023SaveLearn
Notes on osculations and mode tracing in semi-analytical waveguide modelingThe dispersion curves of (elastic) waveguides frequently exhibit crossings and osculations (also known as veering, repulsion, or avoided crossing). Osculations are regions in the dispersion diagram…Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer·Oct 9, 2023SaveLearn
Simple calculation of the Moon apsides motionA simple and clear method is proposed to calculate the averaged motion of the apsis line in the Moon orbit. The obtained result is 31'12'' for the starry period of the Moon…V. V. Nesterenko·Oct 9, 2023SaveLearn
The Exact Solution of Lagrange's GyroscopeThe closed form solution is found for the fully nonlinear dynamics of the gyroscope with a fixed point at the tip. The solution is found by using Cardano's formulae to factor a cubic, in the case…John B. Schutkeker·Oct 2, 2023SaveLearn
Generation of Spatiotemporal Vortex Pulses by Simple Diffractive GratingSpatiotemporal vortex pulses are wave packets that carry transverse orbital angular momentum, exhibiting exotic structured wavefronts that can twist through space and time. Existing methods to…Zhiyuan Che, Wenzhe Liu, Lei Shi et al.·Sep 28, 2023SaveLearn
Scale-dependent heat transport in dissipative media via electromagnetic fluctuationsWe develop a theory for heat transport via electromagnetic waves inside media, and use it to derive a spatially nonlocal thermal conductivity tensor, in terms of the electromagnetic Green's…Matthias Krüger, Kiryl Asheichyk, Mehran Kardar et al.·Sep 26, 2023SaveLearn
On the elastodynamics of rotating planetsEquations of motion are derived for (visco)elastic, self-gravitating, and variably-rotating planets. The equations are written using a decomposition of the elastic motion that separates the…Matthew Maitra, David Al-Attar·Sep 20, 2023SaveLearn
Interaction of in-plane waves with a structured penetrable line defect in an elastic latticeWe consider the scattering of in-plane waves that interact with an edge of a structured penetrable (inertial) line defect contained in a triangular lattice, composed of periodically placed masses…M. J. Nieves, B. L. Sharma·Sep 17, 2023SaveLearn
Hidden ring crack in a rotating cylindrical shell under torsionWe consider the impact of a ring crack within a rotating hollow cylinder of fixed height under axisymmetric (torsion) loading. The form of the displacement is obtained from the equation of motion…Zinaida Zhuravlova, Igor Istenes, Daniel Peck et al.·Sep 16, 2023SaveLearn
Scattering of surface waves by inhomogeneities in crystalline structuresIn current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic…Basant Lal Sharma·Sep 15, 2023SaveLearn
Design of a Freely Rotating Wind Tunnel Test Bench for Measurements of Dynamic CoefficientsThe needs to improve performances of artillery projectiles require accurate aerodynamic investigation methods. The aerodynamic design of a projectile usually starts from numerical analyses, mostly…Muller Laurène, Libsig Michel·Sep 11, 2023SaveLearn
Which is greater: eπ or πe? An unorthodox solution to a classic puzzleThe question of the title is a famous puzzle in the field of recreational mathematics, and can be addressed by several approaches. A compilation of solutions, some of them very ingenious, can be…Andrés Vallejo, Italo Bove·Sep 9, 2023SaveLearn
Elastic bounds for anisotropic layersThe complete set of bounds for the technical constants of an elastic layer, plate or laminate is given. The bounds are valid in general, also for completely anisotropic bodies. They are obtained…Paolo Vannucci·Sep 8, 2023SaveLearn
Dynamics: A different outlookThe present article deals with general mechanics in an unconventional manner. At first, Newtonian mechanics for a point particle has been described in vectorial picture, considering Cartesian, polar…Subenoy Chakraborty·Sep 6, 2023SaveLearn
Irreversibility of sudden processes: Compression versus expansion in perfect gasesWe focus on the study of the processes undergone by a perfect gas when the external pressure is suddenly modified. The analysis shows that, from the second law perspective, there is a non-evident…Andrés Vallejo, Matías Osorio·Sep 5, 2023SaveLearn
Investigating the classical problem of pursuit, in two modesThe pursuit problem is a historical issue of the application of mathematics in physics, which has been discussed for centuries since the time of Leonardo Da Vinci, and its applications are wide…Amir Hossein Arshadi Kalameh, Kourosh Bayati Komitaki, Reza Sharifian et al.·Sep 5, 2023SaveLearn
Observation of elastic bound modes in the continuum in architected beamsWe report the experimental observation of an elastic bound mode in the continuum (BIC) in a compact region of an architected beam. We consider a long slender beam with rigid masses attached at…Adib Rahman, Raj Kumar Pal·Sep 5, 2023SaveLearn
Difference between charge-voltage relations of ordinary and fractional capacitorsIn an ordinary time-varying capacitor, there is debate whether a time-domain multiplication or a time-domain convolution of capacitance and voltage determines charge. A time-varying capacitor in…Eirik Brenner Marthins, Sverre Holm·Sep 4, 2023SaveLearn
Three-body periodic collisionless equal-mass free-fall orbits revisitedLi and Liao announced (2019) discovery of 313 periodic collisionless orbits' initial conditions (i.c.s), 30 of which have equal masses, and 18 of these 30 orbits have physical periods…Ivan Hristov, Radoslava Hristova, Veljko Dmitrašinović et al.·Aug 30, 2023SaveLearn
Two Hundred Years After Hamilton: The Simple Axiom That Underlies Classical MechanicsIn 1834-1835, Hamilton published two papers that revolutionized classical mechanics. In these papers, he introduced the Hamilton-Jacobi equation, Hamilton's equations of motion and the principle…David J. Tannor·Aug 29, 2023SaveLearn
Lévy-Leblond Equation and Eisenhart-Duval lift in Koopman-von Neumann MechanicsThe Koopman-von Neumann (KvN) mechanics is an approach that was formulated long ago to answer the question regarding the existence of a Hilbert space representation of classical mechanics. KvN…Bikram Keshari Parida, Abhijit Sen, Shailesh Dhasmana et al.·Aug 28, 2023SaveLearn
More on difference between angular momentum and pseudo-angular momentumWe extend the discussion on the difference between angular momentum and pseudo-angular momentum in field theory. We show that the often quoted expressions in [Phys.Rev.B 103, L100409 (2021)] only…Qi Dai, Zi-Wei Chen, Bang-Hui Hua et al.·Aug 26, 2023SaveLearn
A Steady Loop Current Does Not RadiateAccording to classical electrodynamics, a steady loop current does not radiate. Edward, Kenyon, and Lemon show that the present-time approximation of the retarded electric field (the approximation of…Shengchao Alfred Li, Charlotte Jingyang Li·Aug 25, 2023SaveLearn
Effective T-matrix of a cylinder filled with a random 2 dimensional particulateWhen a wave, such as sound or light, scatters within a densely packed particulate, it can be rescattered many times between the particles, which is called multiple scattering. Multiple scattering can…K. K. Napal, P. S. Piva, A. L. Gower·Aug 25, 2023SaveLearn