Effects of transformed Hamiltonians on Hamilton-Jacobi theory in view of a stronger connection to wave mechanicsHamilton-Jacobi theory is a fundamental subject of classical mechanics and has also an important role in the development of quantum mechanics. Its conceptual framework results from the advantages of…Michele Marrocco·Oct 26, 2019SaveLearn
Particular superintegrability of 3-body (modified) Newtonian GravityIt is found explicitly 5 Liouville integrals in addition to total angular momentum which Poisson commute with Hamiltonian of 3-body Newtonian Gravity in R3 along the Remarkable…Alexander V Turbiner, Juan Carlos Lopez Vieyra·Oct 25, 2019SaveLearn
Equations of Motion Formulation of a Pendulum Containing N-point MassesThis paper presents a general formulation of equations of motion of a pendulum with n point mass by use of two different methods. The first one is obtained by using Lagrange Mechanics and…Boran Yesilyurt·Oct 24, 2019SaveLearn
Dynamical aspects of a restricted three-vortex problemThe restricted three-vortex problem is investigated with one of the point vortices fixed in the plane. The motion of the free vortex having zero circulation is explored from a rotating frame of…Sreethin Sreedharan K, Priyanka Shukla·Oct 24, 2019SaveLearn
The Structural Dynamics of the World Trade Center CatastropheBažant et al. have proposed a model of a gravity-driven collapse of a tall building which collapses in a progressive-floor collapse after the failure of a single storey. The model allows the…Ansgar Schneider·Oct 23, 2019SaveLearn
The Hamilton-Jacobi Equation: an intuitive approachThe Hamilton-Jacobi equation (HJE) is one of the most elegant approach to Lagrangian systems such as geometrical optics and classical mechanics, establishing the duality between trajectories and…Bahram Houchmandzadeh·Oct 21, 2019SaveLearn
On the Physical Meaning of Time-Domain Constitutive Models with Complex ParametersThis paper revisits the physical meaning of linear, time-domain constitutive models with complex parameters that have been presented in the literature and concludes that such models are not…Nicos Makris·Oct 16, 2019SaveLearn
Branched FlowIn many physical situations involving diverse length scales, waves or rays representing them travel through media characterized by spatially smooth, random, modest refactive index variations.…Eric J Heller, Ragnar Fleischmann, Tobias Kramer·Oct 16, 2019SaveLearn
Scattering on square lattice from crack with damage zoneA semi-infinite crack in infinite square lattice is subjected to a wave coming from infinity, thereby leading to its scattering by the crack surfaces. A partially damaged zone ahead of the crack-tip…Basant Lal Sharma, Gennady Mishuris·Oct 15, 2019SaveLearn
Thinking towards Motion Modeling: on High-order Derivatives of DisplacementThis note is concerned with the problem of motion modeling in Physics. We aim to use the Time-Variant Local Autocorrelation Polynomial to understand the mathematical model of motion description. The…Shixiong Wang, Andrew Lim·Oct 11, 2019SaveLearn
Two-scale micropolar plate model for web-core sandwich panelsA 2-D micropolar equivalent single-layer (ESL), first-order shear deformation (FSDT) plate model for 3-D web-core sandwich panels is developed. First, a 3-D web-core unit cell is modeled by classical…Anssi T. Karttunen, JN Reddy, Jani Romanoff·Oct 10, 2019SaveLearn
Power Limit of Crosswind KitesIn this paper, a generalized power limit of the cross wind kite energy systems is proposed. Based on the passivity property of the aerodynamic force, the available power which can be harvested by a…Haocheng Li·Oct 9, 2019SaveLearn
A quantitative analysis of the chain fountainThe chain fountain is an entertaining, counter-intuitive phenomenon. When a chain flows up over the edge of a container and then falls to the ground below, it is observed that the top of the chain…J. Pantaleone·Oct 7, 2019SaveLearn
Wide-Band/Angle Blazed Dual Mode Metallic Groove GratingsWe introduce a new and simple approach to acquire wide-band/angle blazing operation in one-dimensional metallic gratings supported by equivalent circuit analysis. The gratings that are investigated…Omid Hemmatyar, Mohammad Ali Abbassi, Babak Rahmani et al.·Oct 7, 2019SaveLearn
Electromagnetic Energy Balance Equations and Poynting TheoremPoynting theorem plays a very important role in analyzing electromagnetic phenomena. The electromagnetic power flux density is usually expressed with the Poynting vector. However, since Poynting…Gaobiao Xiao·Oct 6, 2019SaveLearn
Transmission of waves across atomic step discontinuities in discrete nanoribbon structuresScalar wave propagation across a semi-infinite step or step-like discontinuity on any one boundary of the square lattice waveguides is considered within nearest-neighbour interaction approximation.…Basant Lal Sharma·Oct 6, 2019SaveLearn
Understanding how a falling ball chain can be speeded up by impact onto a surfaceWhen a falling ball chain strikes a surface, a tension is created that pulls the chain downward. This causes a downward acceleration that is larger than free-fall, which has been observed by recent…J. Pantaleone·Oct 6, 2019SaveLearn
On the geometry of the classical Rabi problemWe investigate the motion of a classical spin precessing around a periodic magnetic field using Floquet theory as well as elementary differential geometry and considering a couple of examples. Under…Heinz-Jürgen Schmidt·Oct 6, 2019SaveLearn
Negative Absolute TemperaturesThe concept of negative absolute temperature, introduced by Ramsey based on the study of a nuclear spin system by Purcell and Pound in 1951, has been subject to continued debate. According to a…Quanmin Guo·Oct 4, 2019SaveLearn
Multi-functional resonant acoustic networks for wave routingWe demonstrate that asymmetric 3-port devices can be used to design a multi-functional set-up operating as a symmetric combiner and splitter at the same frequency. For a concrete implementation of…Olivier Richoux, Vassos Achilleos, Georgios Theocharis et al.·Oct 2, 2019SaveLearn
From Elastica to Floating Bodies of EquilibriumA short historical account of the curves related to the two-dimensional floating bodies of equilibrium and the bicycle problem is given. Bor, Levi, Perline and Tabachnikov found, quite a number had…Franz Wegner·Sep 27, 2019SaveLearn
On the peculiar features of the instantaneous angular distribution of synchrotron radiationThe instantaneous angular distribution of synchrotron radiation is investigated. The radiation space is divided into two parts. The first part of the space is the interior of a cone with the apex…V. G. Bagrov, A. N. Kasatkina, A. A. Pecheritsyn·Sep 26, 2019SaveLearn
Work done on a single-particle gas during an adiabatic compression/expansion processWe compute the average work done by an external agent, driving a piston at constant speed, over a single particle gas going through an adiabatic compression and expansion process. To do so, we get…Carlos E. Álvarez, Nicolás Afanador, Gabriel Téllez·Sep 25, 2019SaveLearn
The Three Quasistatic Limits of the Maxwell EquationsIt is shown that the Galilean limit (V << c, or L/T <<c)) of the Maxwell equations admits three different limits: the magneto-quasi-static, electro-quasi-static, and electromagnetic-quasi-static…Scott E. Kruger·Sep 25, 2019SaveLearn
Free space transmission lines in receiving antenna operationThis work derives exact expressions for the voltage and current induced into a two conductors non isolated transmission lines by an incident plane wave. The methodology is to use the transmission…Reuven Ianconescu, Vladimir Vulfin·Sep 24, 2019SaveLearn