On the Deduction of the Carathéodory's Axiom of the Second Law of Thermodynamics from the Clausius and Kelvin PrinciplesCarathéodory's formalism for classical thermodynamics is a rich alternative approach to this theory, although unpopular with students and physics professors. This approach dispenses with the…Pedro F. da Silva Júnior·Oct 6, 2021SaveLearn
A new derivation of the Henon's isochrone potentialsWe revisit in this note the Hénon's isochrone problem. By using the standard Abel inversion technique for one-dimensional motion, we recover in a simple way the Hénon's parabolae and get all…Alberto Saa, Roberto Venegeroles·Oct 5, 2021SaveLearn
Unified Theory of Characteristic Modes: Part II -- Tracking, Losses, and FEM EvaluationThis is the second component of a two-part paper dealing with a unification of characteristic mode decomposition. This second part addresses modal tracking and losses and presents several numerical…Mats Gustafsson, Lukas Jelinek, Kurt Schab et al.·Oct 5, 2021SaveLearn
Analysis of the gradual transition from the near to the far field in single-slit diffractionIn Optics it is common to split up the formal analysis of diffraction according to two convenient approximations, in the near and far fields (also known as the Fresnel and Fraunhofer regimes,…Almudena García-Sánchez, Ángel S. Sanz·Oct 4, 2021SaveLearn
Manipulating the shape of flexible magnetoelastic nanodiscs with meron-like magnetic statesThe control of the magnetic properties of shapeable devices and the manipulation of flexible structures by external magnetic fields is a keystone of future magnetoelectronics-based devices. This work…Beatriz Miranda-Silva, Pedro H. C. Taveira, Allison W. Teixeira et al.·Oct 2, 2021SaveLearn
Acoustic spin and orbital angular momentum using evanescent Bessel beamsUsing acoustic evanescent Bessel beam is analyzed the fundamental properties for the spin and orbital angular momentum. The calculation shows that the transversal spin, the canonical momentum, and…Irving Rondon·Oct 1, 2021SaveLearn
Ubiquity of Fourier Transformation in Optical Sciences (Part II)This paper contains a transcript of my presentation at the Wyant Tribute Symposium on August 2, 2021 at SPIE's Optics & Photonics conference in San Diego, California. The technical part of the…Masud Mansuripur·Sep 30, 2021SaveLearn
Liquid Structures: a novel Computational Fluid Dynamics (CFD) inspired metamaterialWe present a theoretical framework for new structural metamaterials we refer to as liquid structures: a topology of bistable mechanisms made up of a high number of cells that are sub-mechanisms…Paolo Gallina, Massimiliano Gei, Lorenzo Scalera et al.·Sep 30, 2021SaveLearn
Total Collisions in the N-Body Shape SpaceWe discuss the total collision singularities of the gravitational N-body problem on shape space. Shape space is the relational configuration space of the system obtained by quotienting ordinary…Flavio Mercati, Paula Reichert·Sep 30, 2021SaveLearn
Generalized plane strain embedded in three-dimensional anisotropic elasticityThe theory of anisotropic generalized plane strain of line forces and dislocation lines is embedded in three-dimensional elasticity of point forces and dislocation densities. Embedding in real space…Markus Lazar, Helmut O. K. Kirchner·Sep 29, 2021SaveLearn
Electromagnetic Vortex Topologies from Sparse Circular Phased ArraysStructured vortex waves have numerous applications in optics, plasmonics, radio-wave technologies and acoustics. We present a theoretical study of a method for generating vortex states based on…Hao Wang, Kaitlyn Szekerczes, Andrei Afanasev·Sep 27, 2021SaveLearn
Time modulated media with digital meta-atomsWe develop the theory of acoustic wave propagation in a waveguide containing an array of time modulated digital meta-atoms, showing the equivalence between this array and a homogeneous, time varying,…S. A. R. Horsley·Sep 27, 2021SaveLearn
Electric field lines of an arbitrarily moving charged particleIn this paper it is shown that the equations of electric field lines of an arbitrarily moving charged particle in the general case are reduced to homogeneous, linear differential equations with…S. G. Arutunian, M. A. Aginian, A. V. Margaryan et al.·Sep 22, 2021SaveLearn
Duality of the Principle of Least Action: A New Formulation of Classical MechanicsA dual formalism for Lagrange multipliers is developed. The formalism is used to minimize an action function S(q2,q1,T) without any dynamical input other than that S is convex. All the key…David J. Tannor·Sep 19, 2021SaveLearn
A new thought experiment on relativistic length contractionRelativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding…Biplab Raychaudhuri, Souvik Ghose, Arunabha Bhadra·Sep 17, 2021SaveLearn
Fourth-order dynamics of the damped harmonic oscillatorIt is shown that the classical damped harmonic oscillator belongs to the family of fourth-order Pais-Uhlenbeck oscillators. It follows that the solutions to the damped harmonic oscillator equation…John W. Sanders·Sep 10, 2021SaveLearn
Comment on Scattering of electromagnetic plane wave by an impedance strip embedded in homogeneous isotropic chiral mediumThe goal of this paper is to present a previously published work [1] in an errorless form. The work has studied the scattering of electromagnetic plane wave by an impedance strip placed in…Hossein Davoudabadifarahani, Behbod Ghalamkari·Sep 10, 2021SaveLearn
On-demand Parity-Time symmetry in a lone oscillator through complex, synthetic gauge fieldsWhat is the fate of an oscillator when its inductance and capacitance are varied while its frequency is kept constant? Inspired by this question, we propose a protocol to implement parity-time (PT)…Mario A. Quiroz-Juárez, Kaustubh S. Agarwal, Zachary A. Cochran et al.·Sep 8, 2021SaveLearn
Singularly perturbed dynamics of the tippediskThe tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced instability phenomenon leading to the inversion of an unbalanced spinning disk, being reminiscent to (but…Simon Sailer, Remco I. Leine·Sep 6, 2021SaveLearn
Formation and crossover of multiple helical dipole chainsWe investigate the classical equilibrium properties and metamorphosis of the ground state of interacting dipoles with fixed locations on a helix. The dipoles are shown to align themselves along…Ansgar Siemens, Peter Schmelcher·Sep 5, 2021SaveLearn
Unified Theory of Characteristic Modes: Part I -- FundamentalsA unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic…Mats Gustafsson, Lukas Jelinek, Kurt Schab et al.·Aug 31, 2021SaveLearn
Can classical electrodynamics predict nonlocal effects?Classical electrodynamics is a local theory describing local interactions between charges and electromagnetic fields and therefore one would not expect that this theory could predict nonlocal…José A. Heras, Ricardo Heras·Aug 25, 2021SaveLearn
Polarizabilities of microparticles in relativistic field theoryThe article determine a relativistic tensor of the second rank containing the vectors of the electric and magnetic polarization of the medium, based on the Maxwell equations and the determination of…N. V. Maksimenko, O. M. Deruzhkova, S. A. Lukashevich·Aug 21, 2021SaveLearn
Bifurcation and Nonlinear Oscillation of the Bead MotionThis research focuses on the interesting physical phenomenon of the bead-hoop system. The bifurcation can be observed investigating the equilibrium point of the bead, and nonlinear oscillation also…S. Lee·Aug 21, 2021SaveLearn
Equilibrium thermodynamic properties of two-component and two phase mixturesWe develop a general thermodynamic framework for determining the equilibrium thermodynamic and thermophysical properties of systems composed of two constituents or two phases. The formulation does…S Benjelloun·Aug 19, 2021SaveLearn