Optimization Method in 2D Thermal Cloaking ProblemsInverse problems associated with designing cylindrical thermal cloaking shells are studied. Using the optimization method these inverse problems are reduced to corresponding control problems in which…Gennady Alekseev, Dmitry Tereshko·Jul 27, 2018SaveLearn
Inevitability of the Lagrangian and gauge potentialsIn seeking a minimal variational formulation of Maxwell's equations, one is led naturally to the scalar and vector potentials as "adjoint" functions in a well-defined sense and to the…A. R. P. Rau·Jul 25, 2018SaveLearn
Remarks on Newton's Second Law for Variable Mass SystemsMisinterpretations of Newton's second law for variable mass systems found in the literature are addressed. In particular, it is shown that Newton's second law in the form $F =…K. Nakayama·Jul 16, 2018SaveLearn
Equivalence between electromagnetic self-energy and self-massA cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an electron of…Murat Khokonov, Jens Ulrik Andersen·Jul 14, 2018SaveLearn
Non-linear Thermoelastic Analysis of an Anisotropic Rectangular PlateThree-dimensional thermoelastic analysis in presence of electro magnetic field is investigated of a rectangular plate. In the context of Green-Naghdi model-II, fractional order energy equation is…B. Das, S. Chakraborty, A. Lahiri·Jul 13, 2018SaveLearn
A mechanism of macroscopic rigid-body behavior through evanescent modeIt has been numerically found that the setup of Newton's cradle can exhibit a rigid-body like behavior, that is, the target cluster starts to move collectively without emitting the outermost…K. Sekimoto, Y. M. Benane, K. E. Alloubia et al.·Jul 12, 2018SaveLearn
Shortcut to stationary regimes: a simple experimental demonstrationWe introduce a reverse engineering approach to drive a RC circuit. This technique is implemented experimentally 1) to reach a stationary regime associated to a sinusoidal driving in very short amount…S. Faure, S. Ciliberto, E. Trizac et al.·Jul 12, 2018SaveLearn
On the Decomposition of ForcesWe show that any continuously differentiable force is decomposed into the sum of a Rayleigh force and a gyroscopic force. We also extend this result to piecewise continuously differentiable forces.…Dong Eui Chang·Jul 11, 2018SaveLearn
Analytic formula for the Geometric Phase of an Asymmetric TopThe motion of a handle spinning in space has an odd behavior. It seems to unexpectedly flip back and forth in a periodic manner as seen in a popular YouTube video. As an asymmetrical top, its motion…Nicholas A. Mecholsky·Jul 10, 2018SaveLearn
On deformation-gradient tensors as two-point tensors in curvilinear coordinatesWe derive a general expression for the deformation-gradient tensor by invoking the standard definition of a gradient of a vector field in curvilinear coordinates. This expression shows the connection…Andrey Melnikov, Michael A. Slawinski·Jul 7, 2018SaveLearn
Analysis of dispersion and propagation properties in a periodic rod using a space-fractional wave equationThis study explores the use of fractional calculus as a possible tool to model wave propagation in complex, heterogeneous media. We illustrate the methodology by focusing on elastic wave propagation…John Hollkamp, Mihir Sen, Fabio Semperlotti·Jul 5, 2018SaveLearn
Restitution of the Temperature Field Inside a Cylinder of Semitransparent Dense Medium From Directional Intensity DataThe purpose of this paper is to obtain the temperature field inside a cylinder filled in with a dense nonscattering semitransparent medium from directional intensity data by solving the inverse…Vital Le Dez, Denis Lemonnier, Hamou Sadat·Jul 5, 2018SaveLearn
Geometry of motion and nutation stability of free axisymmetric variable mass systemsIn classical mechanics, the 'geometry of motion' refers to a development to visualize the motion of freely spinning bodies. In this paper, such an approach of studying the rotational motion…Angadh Nanjangud·Jul 4, 2018SaveLearn
Metriplectic torque for rotation control of a rigid bodyMetriplectic dynamics couple a Poisson bracket of the Hamiltonian description with a kind of metric bracket, for describing systems with both Hamiltonian and dissipative components. The construction…Massimo Materassi, Philip J. Morrison·Jul 1, 2018SaveLearn
Defining work done on electromagnetic fieldThe problem of defining work done on electromagnetic field (EMF) via moving charges does not have a ready solution, because the standard Hamiltonian of EMF does not predict gauge-invariant energy…A. E. Allahverdyan, D. Karakhanyan·Jun 30, 2018SaveLearn
Platonic Localisation: One Ring to Bind ThemIn this paper, we present an asymptotic model describing localised flexural vibrations along a structured ring containing point masses or spring-mass resonators in an elastic plate. The values for…A. B. Movchan, R. C. McPhedran, G. Carta et al.·Jun 28, 2018SaveLearn
Wave-Guiding Part of a Capacitor ParadoxA capacitor paradox is an electromagnetic problem designed to show the limits of circuit theory which considers the connection of two ideal capacitors, one charged and the second discharged. A blind…P. Ourednik, L. Jelinek·Jun 28, 2018SaveLearn
Thermal diffusion in branched structures: Metric graph based approachWe consider the problem of heat diffusion in branched systems and networks on the basis of a model described in terms of heat equation on metric graphs. Using the explicit analytical solutions of the…K. Sabirov, Zh. Zhunussova, D. Babajanov et al.·Jun 27, 2018SaveLearn
On the Geometrically Exact Low Order Modelling of a Flexible Beam: Formulation and Numerical TestsThis paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properties of the deformed…C. Howcroft, R. G. Cook, S. A. Neild et al.·Jun 26, 2018SaveLearn
Free and forced wave propagation in a Rayleigh-beam grid: flat bands, Dirac cones, and vibration localization vs isotropizationIn-plane wave propagation in a periodic rectangular grid beam structure, which includes rotational inertia (so-called 'Rayleigh beams'), is analyzed both with a Floquet-Bloch exact…G. Bordiga, L. Cabras, D. Bigoni et al.·Jun 25, 2018SaveLearn
Comment on "A Nonholonomic Model of the Paul Trap"A recent article by Borisov et al. [Regular and Chaotic Dynamics 23.3 (2018): 339-354.] studies the motion of a rigid ball in a rotating-saddle trap. The authors claim that they derive a new equation…Wenkai Fan, Li Du, Sihui Wang·Jun 25, 2018SaveLearn
Field-free electrodynamicsThe Maxwell-Lorentz theory of electrodynamics cannot readily be applied to a system of point charges: the electromagnetic field is not well-defined at the position of a point charge, an energy…Mischa Moerkamp·Jun 24, 2018SaveLearn
Dielectric slab reflection/transmission as a self-consistent radiation phenomenonWe revisit the electromagnetic problem of wave incidence upon a uniform, dissipative dielectric slab of finite thickness. While this problem is easily solved via interface field continuity, we treat…J. A. Grzesik·Jun 24, 2018SaveLearn
On the Wave Zone of Synchrotron RadiationThe extension of the wave zone of synchrotron radiation is studied.V. G. Bagrov·Jun 22, 2018SaveLearn
Relativistic motion under constant force: velocity and acceleration behaviorIn relativistic dynamics, force and acceleration are no longer parallel. In this article, we revisit the relativistic motion of a particle under the action of a constant force, f. \…Jhonnatan G. Pereira, Victor E. Mouchrek-Santos, Manoel M. Ferreira·Jun 21, 2018SaveLearn