Simulation of Single-Phase Natural Circulation within the BEPU Framework: Sketching Scaling Uncertainty Principle by Multi-Scale CFD ApproachesIn order to enhance safety, nuclear reactors in the design phase consider natural circulation as a mean to remove residual power. The simulation of this passive mechanism must be qualified between…Haifu Huang, Jorge Perez, Nicolas Alpy et al.·May 28, 2024SaveLearn
On Laplace equation solution in orthogonal similar oblate spheroidal coordinatesOrthogonal coordinate systems enable expressing the boundary conditions of differential equations in accord with the physical boundaries of the problem. It can significantly simplify calculations.…Pavel Strunz·May 27, 2024SaveLearn
Note on the transformation from the Lorenz gauge to the Coulomb gaugeThere is a simple formula for the gauge function of the transformation from the Lorenz gauge to the Coulomb gauge, valid under a condition that is satisfied by some charge densities employed in the…V. Hnizdo, G. Vaman·May 26, 2024SaveLearn
Scattering-Based Characteristic Mode Theory for Structures in Arbitrary Background: Computation, Benchmarks, and ApplicationsThis paper presents a novel approach for computing substructure characteristic modes. This method leverages electromagnetic scattering matrices and spherical wave expansion to directly decompose…Chenbo Shi, Jin Pan, Xin Gu et al.·May 24, 2024SaveLearn
Lopsided Elastic Dumbbell SuspensionWe derive the constitutive equation for a suspension of lopsided Hookean dumbbells. By lopsided, we mean that one bead is larger than the other. We find that all results derived for symmetric Hookean…N. Phan-Thien, M. A. Kanso, A. J. Giacomin·May 24, 2024SaveLearn
The two-thirds power law derived from an higher-derivative actionThe two-thirds power law is a link between angular speed ω and curvature κ observed in voluntary human movements: ω is proportional to κ2/3. Squared jerk is known to be a Lagrangian…N. Boulanger, F. Buisseret, F. Dierick et al.·May 24, 2024SaveLearn
Refractive index for the mechanical refraction of a relativistic particleWe have analytically determined the refractive index for the mechanical refraction of a relativistic particle for its all possible speeds. We have critically analysed the importance of Descartes'…Bikram Keshari Behera, Surendra Kumar Gour, Shyamal Biswas·May 23, 2024SaveLearn
Giant Acoustic Geometric Spin and Orbital Hall EffectAcoustic waves in fluid with spin-0 nature have been long believed not to support spin Hall effect and strong orbital Hall effect that enables experimental observation. Here we report the first…Wei Wang, Yang Tan, Jingjing Liu et al.·May 23, 2024SaveLearn
The role of the Silberstein/Thomas/Wigner-rotation in the rod and slit paradoxThe rod and slit paradox, as first proposed by R. Shaw, is revisited. In this paradox, a rod of rest length l0 moves parallel to the horizontal x-axis. Simultaneously, a thin sheet parallel to the…Mads Vestergaard Schmidt, Erich Schoedl·May 17, 2024SaveLearn
Equations of motion for general nonholonomic systems from the d'Alembert principle via an algebraic methodThe aim of this study is to present an alternative way to deduce the equations of motion of general (i.e., also nonlinear) nonholonomic constrained systems starting from the d'Alembert principle…Federico Talamucci·May 16, 2024SaveLearn
Attochaos I: The classically chaotic postcursor of high harmonic generationAttosecond physics provides unique insights into light-matter interaction on ultrafast time scales. Its core phenomenon, High Harmonic Generation (HHG), is often described by a classical recollision…Jonathan Berkheim, David J. Tannor·May 9, 2024SaveLearn
Free Will and Falling CatsIf we consider a cat to be an isolated mechanical system governed by T-invariant mechanics, then its ability to land on its feet after being released from rest is incomprehensible. It is more…Frank Wilczek·May 7, 2024SaveLearn
Classical Acceleration Temperature (CAT) in a BoxA confined, slow-moving, accelerating electron is shown to emit thermal radiation. Since laboratories face spatial constraints when dealing with rectilinear motion, focusing on a finite total travel…Ahsan Mujtaba, Maksat Temirkhan, Yen Chin Ong et al.·May 6, 2024SaveLearn
Nonlinearity-induced symmetry breaking in a system of two parametrically driven Kerr-Duffing oscillatorsWe study the classical dynamics of a system comprising a pair of Kerr-Duffing nonlinear oscillators, which are coupled through a nonlinear interaction and subjected to a parametric drive. Using the…F. Hellbach, D. De Bernardis, M. Saur et al.·May 2, 2024SaveLearn
Relativity with or without light and MaxwellThe complex relationship between Einstein's second postulate and the Maxwell electromagnetic theory is elucidated. A simple deduction of the main results of the Ignatowski approach to the theory of…D V Redžić·Apr 30, 2024SaveLearn
An efficient approach for searching three-body periodic orbits passing through Eulerian configurationA new efficient approach for searching three-body periodic equal-mass collisionless orbits passing through Eulerian configuration is presented. The approach is based on a symmetry property of the…Ivan Hristov, Radoslava Hristova·Apr 25, 2024SaveLearn
Optimal sizing of 1D vibrating columns accounting for axial compression and self-weightWe investigate the effect of axial compression on the optimal design of columns, for the maximization of the fundamental vibration frequency. The compression may be due to a force at the columns'…Federico Ferrari·Apr 23, 2024SaveLearn
Universal formal asymptotics for localized oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium described by the telegraph equation with variable coefficientsWe consider a quite general problem concerning a linear free oscillation of a discrete mass-spring-damper system. This discrete sub-system is embedded into a one-dimensional continuum medium…Serge N. Gavrilov, Ilya O. Poroshin, Ekaterina V. Shishkina et al.·Apr 22, 2024SaveLearn
Eclectic Notes on Uncertainty, Information, and Classical DynamicsInformation is everywhere in nature which is very uncertain and unpredictable. But information, in itself, is a very ambiguous term. In this cursory write-up, we attempt to understand the formal…Sagar Chakraborty·Apr 21, 2024SaveLearn
Point-Charge Models and Averages for Electromagnetic Quantities Considered in Two Relativistic Inertial FramesElectromagnetic quantities at a spacetime point have tensor Lorentz transformations between relatively-moving inertial frames. However, since the Lorentz transformation of time between inertial…Timothy H. Boyer·Apr 15, 2024SaveLearn
Scattering ShadowsWe discuss the regions forbidden to classical scattering trajectories by repulsive potentials. We give explicit results for the asymptotic form of these regions, far from the scattering center, in…Thomas Curtright, Gaurav Verma·Apr 11, 2024SaveLearn
Relating interfacial Rossby wave interaction in shear flows with Feynman's two-state coupled quantum system model for the Josephson junctionHere we show how Feynman's simplified model for the Josephson junction, as a macroscopic two-state coupled quantum system, has a one-to-one correspondence with the stable dynamics of two…Eyal Heifetz, Nimrod Bratspiess, Anirban Guha et al.·Apr 11, 2024SaveLearn
Second register production on the clarinet: nonlinear losses in the register hole as the decisive physical phenomenonThis study investigates the role of localized nonlinear losses in the register hole on the production of second-register notes. First, an experiment is conducted to study the ability of a register…Nathan Szwarcberg, Tom Colinot, Christophe Vergez et al.·Apr 11, 2024SaveLearn
Interphase in the mechanical behaviour prediction models for nanocompositesPolymers are increasingly used in the transport sector due to their many advantages; lightness, corrosion resistance, ease to process... However, most of them have limited mechanical properties. To…Nicolas Raoux, Abdelkibir Benelfellah, Nourredine Aït Hocine·Apr 10, 2024SaveLearn
Universal Deformations and Inhomogeneities in Isotropic Cauchy ElasticityFor a given class of materials, universal deformations are those deformations that can be maintained in the absence of body forces and by applying solely boundary tractions. For inhomogeneous…Arash Yavari·Apr 9, 2024SaveLearn