SO(4)-symmetry of mechanical systems with 3 degrees of freedomWe answered the old question: does there exist a mechanical system with 3 degrees of freedom, except for the Coulomb system, which has 6 first integrals generating the Lie algebra o(4) by means of…Sofiane Bouarroudj, S. E. Konstein·Dec 17, 2018SaveLearn
Dynamic boundary conditions for membranes whose surface energy depends on the mean and Gaussian curvaturesMembranes are an important subject of study in physical chemistry and biology. They can be considered as material surfaces with a surface energy depending on the curvature tensor. Usually,…Sergey Gavrilyuk, Henri Gouin·Dec 17, 2018SaveLearn
Symmetric forms for hyperbolic-parabolic systems of multi-gradient fluidsWe consider multi-gradient fluids endowed with a volumetric internal energy which is a function of mass density, volumetric entropy and their successive gradients. We obtained the thermodynamic forms…Henri Gouin·Dec 17, 2018SaveLearn
Energy conservation in explicit solutions as a simple illustration of Noether's theoremNoether's theorem is widely regarded as one of the most elegant results in theoretical physics. The article presents two simple examples that can be used to demonstrate the basic idea behind…Markus Pössel·Dec 14, 2018SaveLearn
Scattering Statistics in Nonlinear Wave Chaotic SystemsThe Random Coupling Model (RCM) is a statistical approach for studying the scattering properties of linear wave chaotic systems in the semi-classical regime. Its success has been experimentally…Min Zhou, Edward Ott, Thomas M. Antonsen, et al.·Dec 13, 2018SaveLearn
Experimental observation of superscatteringSuperscattering, induced by degenerate resonances, breaks the fundamental single-channel limit of scattering cross section of subwavelength structures; in principle, an arbitrarily large total cross…Chao Qian, Xiao Lin, Yi Yang et al.·Dec 13, 2018SaveLearn
Wavefield Finite Time Focusing with Reduced Spatial ExposureWavefield focusing is often achieved by Time-Reversal Mirrors, where wavefields emitted by a source located at the focal point are evaluated at a closed boundary and sent back, after Time-Reversal,…Giovanni Angelo Meles, Joost van der Neut, Koen W. A. van Dongen et al.·Dec 11, 2018SaveLearn
Maximum Gain, Effective Area, and DirectivityFundamental bounds on antenna gain are found via convex optimization of the current density in a prescribed region. Various constraints are considered, including self-resonance and only partial…Mats Gustafsson, Miloslav Capek·Dec 11, 2018SaveLearn
Irreducible matrix resolution of the elasticity tensor for symmetry systemsIn linear elasticity, a fourth order elasticity (stiffness) tensor of 21 independent components completely describes deformation properties of a material. Due to Voigt, this tensor is conventionally…Yakov Itin·Dec 8, 2018SaveLearn
The role of the time delay in the reflection and transmission of ultrashort electromagnetic pulses on a system of parallel current sheetsThe reflection and transmission of a few-cycle laser pulse impinging on two parallel thin metal layers have been analyzed. The two layers, with a thickness much smaller than the skin depth of the…M. Polner, S. Varró, A. Vörös-Kiss·Dec 7, 2018SaveLearn
Circular orbits of a ball on a rotating conical turntableThis paper is concerned with the study of the rolling without slipping of a dynamically symmetric (in particular, homogeneous) heavy ball on a cone which rotates uniformly about its symmetry axis.…Alexey V. Borisov, Tatiana B. Ivanova, Alexander A. Kilin et al.·Dec 6, 2018SaveLearn
On the Modelling of Soft-robots as Quasi-Continuum Lagrangian Dynamical Systems with Well-posed Input MatrixIn this paper, considering a braided continuum soft-robot, whose radial deformation is constrained but elongation is assumed, a quasi-Lagrangian model is proposed that meets the Lagrangian models…Ernesto Olguín-Díaz, Christian A. Trejo-Ramos, Vicente Parra-Vega et al.·Dec 6, 2018SaveLearn
Acoustic meta-atom with maximum Willis couplingAcoustic metamaterials are structures with exotic acoustic properties, having promising applications in acoustic beam steering, focusing, impedance matching, absorption and isolation. Recent work has…Anton Melnikov, Li Quan, Sebastian Oberst et al.·Dec 5, 2018SaveLearn
Parametric Resonance in a dissipative system á la Kronig-PenneyThe competition between parametric resonance (PR) and dissipation is studied in the damped Kronig-Penney model, with time-dependent dissipation rate gamma(t). In the classical case, it is shown that…Loris Ferrari·Dec 1, 2018SaveLearn
Quantum support to BoHua Sun's conjectureA generalization of the Kepler's third law has been proposed by BoHua Sun for N-body periodic orbits in a Newtonian gravitation field. In this paper, it is shown that this formula can apply for…Claude Semay·Nov 30, 2018SaveLearn
Fixed points of mapping of N-point gravitational lensesIn this paper, we study fixed points of N-point gravitational lenses. We use complex form of lens mapping to study fixed points. Complex form has an advantage over coordinate one because we can…Albert Kotvytskiy, Volodymir Shablenko, Evgenij Bronza·Nov 28, 2018SaveLearn
Single and Double Generator Bracket Formulations of Geophysical Fluids with Irreversible ProcessesThe equations of reversible (inviscid, adiabatic) fluid dynamics have a well-known variational formulation based on Hamilton's principle and the Lagrangian, to which is associated a Hamiltonian…Christopher Eldred, François Gay-Balmaz·Nov 28, 2018SaveLearn
The Mass of the Gravitational FieldBy mass-energy equivalence, the gravitational field has a relativistic mass density proportional to its energy density. I seek to better understand this mass of the gravitational field by asking…Charles T. Sebens·Nov 23, 2018SaveLearn
On the effect of the light propagation within the corner-cube reflector of absolute gravimetersWe have assessed the implications of the in-cube light propagation effect in absolute gravimeters, and found it contradictory to existing theoretical and experimental data. We maintain that the…V D Nagornyi, S Svitlov·Nov 23, 2018SaveLearn
Effect of Pitch on the Asymmetry in Global Loudness Between Rising- and Falling-Intensity SoundsThe global loudness of a varying intensity sound is greater when the intensity increases than when it decreases. This global loudness asymmetry was found to be larger for pure tones than for…Sabine Meunier, Jacques Chatron, Blandine Abs et al.·Nov 22, 2018SaveLearn
On the axisymmetric post-buckling of a thin elastic circular plate under uniform edge pressureIn this paper, we revised a post-buckling of an elastic circular plate subject to uniform pressure on its edge. The governing von Karman equations are solved by power series method and numerical…Milan Batista·Nov 20, 2018SaveLearn
Analytical solution of a plane strain pure bending problem in second gradient electroelasticitySemi-inverse analytical solution of a pure bending problem for piezoelectric layer is developed in the framework of linear electroelasticity theory with strain gradient and electric field gradient…Yury Solyaev, Sergey Lurie·Nov 20, 2018SaveLearn
Advection-diffusion in porous media with low scale separation: modelling via higher-order asymptotic homogenisationAsymptotic multiple scale homogenisation allows to determine the effective behaviour of a porous medium by starting from the pore-scale description, when there is a large separation between the…Pascale Royer·Nov 19, 2018SaveLearn
Transverse spin and surface waves in acoustic metamaterialsWe consider spin angular momentum density in inhomogeneous acoustic fields: evanescent waves and surface waves at interfaces with negative-density metamaterials. Despite being purely longitudinal…Konstantin Y. Bliokh, Franco Nori·Nov 17, 2018SaveLearn
Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariantsThe status of classical stability in higher-derivative systems is still subject to discussions. In this note, we argue that, contrary to general belief, many higher-derivative systems are classically…Nicolas Boulanger, Fabien Buisseret, Frédéric Dierick et al.·Nov 16, 2018SaveLearn