An Energy Conserving Mechanism for Temporal MetasurfacesChanging the microstructure properties of a space-time metamaterial while a wave is propagating through it, in general requires addition or removal of energy, which can be of exponential form…Kshiteej J. Deshmukh, Graeme W. Milton·May 17, 2022SaveLearn
High-Quality Resonances in Quasi-Periodic Clusters of Scatterers for Flexural WavesMultiple scattering theory is applied to the study of clusters of point-like scatterers attached to a thin elastic plate and arranged in quasi-periodic distributions. Two type of structures are…Marc Martí-Sabaté, Sébastien Guenneau, Dani Torrent·May 16, 2022SaveLearn
Experimental analysis and transient numerical simulation of a large diameter pulsating heat pipe in microgravity conditionsA multi-parametric transient numerical simulation of the start-up of a large diameter Pulsating Heat Pipe (PHP) specially designed for future experiments on the International Space Station (ISS) are…Mauro Abela, Mauro Mameli, Vadim Nikolayev et al.·May 9, 2022SaveLearn
Overlooked Work and Heat of Intervention and the Fate of Information Principles of Szilard and LandauerWe show that any external intervention (insertion or removal of a partition) that destroys the equilibrium or brings it in a system always requires work and heat to ensure that the first law is…P. D. Gujrati·May 5, 2022SaveLearn
Earth satellite dynamics by Picard iterationsThe main effects of the Earth's oblateness on the motion of artificial satellites are usually derived from the variation of parameters equations of an average representation of the oblateness…Martin Lara·May 5, 2022SaveLearn
Buckling vs unilateral constraint for a multistable metamaterial elementA structural element is designed and investigated, forming the basis for the development of an elastic multistable metamaterial. The leitmotif of the structural design is the implementation of a…Nikolin Hima, Davide Bigoni, Francesco Dal Corso·May 4, 2022SaveLearn
On the problem of projectile motion in a medium with quadratic resistanceA classic problem of the motion of a projectile thrown at an angle to the horizon in a medium with a quadratic resistance law is studied. An approximate analytical solution of the equations of…Peter Chudinov·May 3, 2022SaveLearn
The pedagogical value of the four-dimensional picture III: Solutions to Maxwell's equationsWe outline a regular way for solving Maxwell's equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the…Andrew E Chubykalo, Augusto Espinoza, B P Kosyakov·May 3, 2022SaveLearn
The pedagogical value of the four-dimensional picture I: Relativistic mechanics of point particlesWe outline two subjects of relativistic mechanics: (i) the set of allowable world lines, and (ii) the origin of the relativistic law of dynamics governing point particles. We show that: (i) allowable…B. P. Kosyakov·May 2, 2022SaveLearn
The pedagogical value of the four-dimensional picture II: Another way of looking at the electromagnetic fieldThe concept of electromagnetic field can be neatly formulated by recognizing that the simplest form of the four-force is indeed feasible. We show that Maxwell's equations almost entirely stem…B. P. Kosyakov·May 2, 2022SaveLearn
How does a heavy symmetric top rise?The rise of the top is studied by considering slipping friction. For this case, equations of motion are obtained by using Euler equations for a heavy symmetric top with a hemispherical peg. Different…Vedat Tanriverdi·Apr 27, 2022SaveLearn
Relaxation and dynamics of high-stress pre-displaced string resonatorsPre-displaced micromechanical resonators made from high-stress material give rise to new rich static and dynamic behavior. Here, an analytical model is presented to describe the mechanics of such…Xiong Yao, David Hoch, Menno Poot·Apr 26, 2022SaveLearn
Topology, nonlocality and duality in classical electrodynamicsWe have recently (Heras et al. in Eur. Phys. J. Plus 136:847, 2021) argued that classical electrodynamics can predict nonlocal effects by showing an example of a topological and nonlocal…José A. Heras, Ricardo Heras·Apr 26, 2022SaveLearn
A note on the relativistic temperatureWe show that the largely debated Planck-Einstein and Ott-Arzelies relativistic transformations of temperature do not satisfy the closure group property that two successive temperature transformations…José A. Heras, María G. Osorno·Apr 26, 2022SaveLearn
The sound of the uduThe udu is a traditional Nigerian percussion instrument that can be thought of as a Helmholtz resonator with two apertures. We use a simple two-particle mechanical analogue to study the behaviour of…Leonardo Pereira Vieira, Carlos Eduardo Aguiar·Apr 25, 2022SaveLearn
Time symmetric electrodynamics, electric charge conservation, and the Lorenz gaugeWe reveal a new way in which the Lorenz gauge condition is related to the electric charge conservation, in a universe where electrically charged point particles are created and annihilated. We derive…Calin Galeriu·Apr 22, 2022SaveLearn
Classical harmonic three-body system: An experimental electronic realizationThe classical three-body harmonic system in Rd (d>1) with finite rest lengths and zero total angular momentum L=0 is considered. This model describes the dynamics of the L=0…A. M. Escobar-Ruiz, M. A. Quiroz-Juarez, J. L. Del Rio-Correa et al.·Apr 22, 2022SaveLearn
Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic mediaThe Maxwell equations and the constitutive relations describe the classical propagation of electromagnetic waves in continuous matter. Here, we investigate the effects stemming from extended…Pedro D. S. Silva, Rodolfo Casana, Manoel M. Ferreira·Apr 22, 2022SaveLearn
Backflow in relativistic wave equationsWe show that, contrary to the statements made by many authors, the backflow is not a nonclassical effect. The backflow is a characteristic feature of solutions of the wave equations: quantum and…Iwo Bialynicki-Birula, Zofia Bialynicka-Birula, Szymon Augustynowicz·Apr 21, 2022SaveLearn
Mathematics of Floating 3D Printed ObjectsWe explore the stability of floating objects through mathematical modeling and experimentation. Our models are based on standard ideas of center of gravity, center of buoyancy, and Archimedes'…Daniel M. Anderson, Brandon G. Barreto-Rosa, Joshua D. Calvano et al.·Apr 18, 2022SaveLearn
3-D Acoustic Trapping With Standing WavesIn this work, we will describe an experimental setup for a standing--wave ultrasound trap for air microbubbles in oil. We develop a model for the finite acoustic beam using the angular spectrum…Matheus Azevedo Silva Pessôa, Antonio Alvaro Ranha Neves·Apr 17, 2022SaveLearn
Experimental Verification of the Acoustic Geometric PhaseThe optical geometric phase encoded by the in-plane spatial orientation of microstructures has promoted the rapid development of numerous new-type optical meta-devices. However, pushing the concept…Bingyi Liu, Zhiling Zhou, Yongtian Wang et al.·Apr 16, 2022SaveLearn
How Fast are Domino Waves?The paper is concerned with the problem of toppling propagation velocity in elastic, domino-like mechanical systems. We build on the work of Efthimiou and Johnson, who developed the theory of…Daniel Ding, Clement Lau, Jorrit Westerhof et al.·Apr 14, 2022SaveLearn
Hidden symmetries in acoustic wave systemsMirror symmetry of a wave system imposes corresponding even or odd parity on its eigenmodes. For a discrete system, eigenmode parity on a specific subset of sites may also originate from so-called…Malte Röntgen, Christian V. Morfonios, Peter Schmelcher et al.·Apr 11, 2022SaveLearn
Advanced self-similar solutions of regular and irregular diffusion equationsWe study the diffusion equation with an appropriate change of variables. This equation is in general a partial differential equation (PDE). With the self-similar and related Ansatätze we transform…Imre Ferenc Barna, László Mátyás·Apr 11, 2022SaveLearn