Maxwell-Lorentz without self interactions: Conservation of energy and momentumSince a classical charged point particle radiates energy and momentum it is argued that there must be a radiation reaction force. Here we present an action for the Maxwell-Lorentz without self…Jonathan Gratus·Aug 19, 2021SaveLearn
Application of Herglotz's Variational Principle to Electromagnetic Systems with DissipationThis work applies the contact formalism of classical mechanics and classical field theory, introduced by Herglotz and later developed in the context of contact geometry, to describe electromagnetic…Jordi Gaset, Adrià Marín-Salvador·Aug 17, 2021SaveLearn
Theory of perturbation of electrostatic field by an anisotropic dielectric sphereThe boundary-value problem for the perturbation of an electric potential by a homogeneous anisotropic dielectric sphere in vacuum was formulated. The total potential in the exterior region was…Akhlesh Lakhtakia, Nikolaos L. Tsitsas, Hamad M. Alkhoori·Aug 14, 2021SaveLearn
Electromagnetic Boundary Conditions Defined by Reflection Properties of Eigen Plane WavesIt is known that the two eigen plane waves incident to the generalized soft-and-hard/DB (GSHDB) boundary are reflected as from the PEC or PMC boundary, i.e., with reflection coefficients -1 or…Ismo V. Lindell, Ari Sihvola·Aug 11, 2021SaveLearn
Angles in the SI: a detailed proposal for solving the problemA recent Letter proposed changing the dimensionless status of the radian and steradian within the SI, while allowing the continued use of the convention to set the angle 1 radian equal to the number…Paul Quincey·Aug 10, 2021SaveLearn
Some problems of the projectile motion with a square-law resistanceThe influence of the force of the quadratic resistance of the medium on the change in some interesting characteristics of the motion of the projectile, which take place when the projectile moves in…Peter Chudinov·Aug 7, 2021SaveLearn
Energy-Viewpoint-Based Electromagnetic Modal AnalysisIn computational physics and mathematical physics, modal analysis method has been one of important study topics. The central purposes of this Post-Doctoral Concluding Report are (1) to reveal the…Ren-Zun Lian·Aug 7, 2021SaveLearn
Temporal analysis of radiating current densitiesFrom electromagnetic wave equations, it is first found that, mathematically, any current density that emits an electromagnetic wave into the far-field region has to be differentiable in time…Wei Guo·Aug 6, 2021SaveLearn
Mechanical Properties of Wilberforce PendulumThis paper shows the study of interesting mechanical properties of Wilberforce pendulum. Analyzing qualitatively of the pendulum, it is able to know how the phenomenon occurs. By setting of the…S. Lee·Aug 6, 2021SaveLearn
Compatibility condition for the Eulerian left Cauchy-Green deformation tensor fieldAn explicit compatibility condition formula is presented for the Eulerian left Cauchy-Green deformation tensor field. It is shown to be the appropriate finite-strain counterpart of Saint-Venant's…Tamás Fülöp·Aug 3, 2021SaveLearn
Silence is bliss in a Platonic relationshipWe describe an effective active cloaking strategy for the scalar Helmholtz equation in three dimensions where multipole active sources are located at the vertices of the Platonic solids. A…Cheuk-Him Yeung, Tom Shearer, William J Parnell·Jul 31, 2021SaveLearn
Distance to plane elasticity orthotropy by Euler-Lagrange methodConstitutive tensors are of common use in mechanics of materials. To determine the relevant symmetry class of an experimental tensor is still a tedious problem. For instance, it requires numerical…Adrien Antonelli, Boris Desmorat, Boris Kolev et al.·Jul 30, 2021SaveLearn
Dynamics of the Modified Emden and pseudo-Modified Emden Equations: position-dependent mass, invariance and exact solvabilityWe consider the modified Emden equation (MEE) and introduce its most general solution, using the most general solution for the simple harmonic oscillator's linear dynamical equation (i.e., the…Omar Mustafa·Jul 29, 2021SaveLearn
Revisiting dissipative motion of a spinning heavy symmetric top and the rise of the top by frictionThe dissipative motion and the rise of a heavy symmetrical top with a hemispherical peg are studied. A model taking the fixed point of the top as the center of the peg is considered when the top…Vedat Tanrıverdi·Jul 28, 2021SaveLearn
On the dissipation at a shock wave in an elastic barThis paper aims to quantitatively relate the energy dissipated at a shock wave in a nonlinearly elastic bar to the energy in the oscillations in two related dissipationless, dispersive systems. In…Prashant K. Purohit, Rohan Abeyaratne·Jul 28, 2021SaveLearn
Magnetic field induced asymmetric splitting of the output signalIn this paper we have investigated the dynamics of a damped harmonic oscillator in the presence of an electromagnetic field. The transients for the two dimensional harmonic oscillator imply about the…L. R. Rahul Biswas, Joydip Das, Bidhan Chandra Bag·Jul 28, 2021SaveLearn
A way to hypo-elastic artificial materials without a strain potential and displaying flutter instabilityCauchy-elastic solids include hyper-elasticity and a subset of elastic materials for which the stress does not follow from a scalar strain potential. More in general, hypo-elastic materials are only…G. Bordiga, A. Piccolroaz, D. Bigoni·Jul 27, 2021SaveLearn
Smart thermal management with near-field thermal radiationWhen two objects at different temperatures are separated by a vacuum gap they can exchange heat by radiation only. At large separation distances (far-field regime) the amount of transferred heat flux…Ivan Latella, Svend-Age Biehs, Philippe Ben-Abdallah·Jul 27, 2021SaveLearn
The Maxwell-Boltzmann Velocity Distribution Function in DetailDespite its importance, in the introductory disciplines of exact science courses, the demonstration of the Maxwell-Boltzmann velocity distribution law is not explained, only its final equation is…Gilberto Jonas Damião, Clóves Gonçalves Rodrigues·Jul 26, 2021SaveLearn
A methodology for formulating dynamical equations in analytical mechanics based on the principle of energy conservationIn this work, a methodology is proposed for formulating general dynamical equations in mechanics under the umbrella of the principle of energy conservation. It is shown that Lagrange's equation,…Yinqiu Zhou, Xiuming Wang·Jul 25, 2021SaveLearn
Closed-form existence conditions for band-gap resonances in a finite periodic chain under general boundary conditionsBragg scattering in periodic media generates band gaps, frequency bands where waves attenuate rather than propagate. Yet, a finite periodic structure may exhibit resonance frequencies within these…Mary V. Bastawrous, Mahmoud I. Hussein·Jul 24, 2021SaveLearn
Mechanics of floating bodiesWe introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard…Robert Beig, Bernd G. Schmidt·Jul 23, 2021SaveLearn
A shadow of the repulsive Rutherford scattering in the laboratory frameThe paper explores the Rutherford scattering shadow in an entire class of comoving frames -- inertial frames moving along the initial projectile direction -- of which the laboratory frame, where the…Petar Žugec, Dario Rudec·Jul 22, 2021SaveLearn
Time-Crystal Particles and Classical Spin 4-vectorTime crystals are exotic phases of matter characterized by a broken time-translational symmetry, such that the ground state of the system evolves in time in a periodic fashion. Even though the…Mario G. Silveirinha·Jul 22, 2021SaveLearn
Mechanically Modulated Sideband and Squeezing Effects of Membrane ResonatorsWe investigate the sideband spectra of a driven nonlinear mode with its eigenfrequency being modulated at a low frequency (< 1 kHz). This additional parametric modulation leads to prominent…Fan Yang, Mengqi Fu, Bojan Bosnjak et al.·Jul 21, 2021SaveLearn