Radiation of Channeled Positrons in Ultrasonic WaveIn the classical approximation, we examine the problem of radiation by channeled positrons in the field of a longitudinal ultrasonic wave when the condition of parametric resonance is satisfied. We…E. A. Ayryan, K. V. Ivanyan, M. Hnatic et al.·Jan 8, 2018SaveLearn
A Note on Norton's Dome"Norton's Dome" is an example of a Newtonian system that violates the Lipschitz condition at a single point, leading to non-unique solutions (indeterminism). Here we reformulate this…Christine C. Dantas·Jan 5, 2018SaveLearn
Reduction of the classical electromagnetism to a two-dimensional curved surfaceThe reduction of the three-dimensional classical electromagnetism is performed in a twofold way. In the first case the ordinary two-dimensional electromagnetism is obtained with sources in the form…Tomasz Radozycki·Jan 5, 2018SaveLearn
Unconventional cycles, pseudoadiabatics and multiple adiabatic pointsUnconventional cycles provide a useful didactic resource to discuss the second law of thermodynamics applied to thermal motors and their efficiency. In most cases they involve a negative slope,…Jeferson J. Arenzon·Jan 4, 2018SaveLearn
Radiation Forces and the Abraham-Minkowski ProblemRecent years have witnessed a number of beautiful experiments in radiation optics. Our purpose with this mini-review is to highlight some developments of radiation pressure physics in general, and…Iver Brevik·Dec 30, 2017SaveLearn
Low frequency acoustic stop bands in cubic arrays of thick spherical shells with holesWe analyse the propagation of pressure waves within a fluid filled with a three-dimensional array of rigid coated spheres (shells). We first draw band diagrams for corresponding Floquet-Bloch waves.…Guillaume Dupont, Alexander Movchan, Stefan Enoch et al.·Dec 29, 2017SaveLearn
Lagrangian description and Hamiltonian density for the electrodynamics of dispersive metamaterialsThe Lagrangians and dissipation functions are proposed for use in the electrodynamics of the double-negative and chiral metamaterials with finite loss. The double-negative metamaterial considered…Pi-Gang Luan·Dec 29, 2017SaveLearn
Revisiting the charging-capacitor problemThe charging capacitor is used as a standard paradigm for illustrating the concept of the Maxwell "displacement current". A certain aspect of the problem, however, is often overlooked. It…C. J. Papachristou·Dec 22, 2017SaveLearn
Demystifying the constancy of the Ermakov-Lewis invariant for a time dependent oscillatorIt is well known that the time dependent harmonic oscillator possesses a conserved quantity, usually called Ermakov-Lewis invariant. I provide a simple physical interpretation of this invariant as…T. Padmanabhan·Dec 20, 2017SaveLearn
The Late Jolt -- Re-Examining the World Trade Center CatastropheA model of a gravity-driven collapse of a tall building has been proposed by Bažant et al. We apply this model to the collapse of the North Tower of the World Trade Center to determine the energy…Ansgar Schneider·Dec 17, 2017SaveLearn
The Crush-Down Equation for Non-Constant Velocity ProfilesBažant et al. have proposed a model for a gravity-driven collapse of a tall building that collapses after column failure in a single storey. Therein the collapsing building is described by three…Ansgar Schneider·Dec 17, 2017SaveLearn
Energy Estimates of Progressive Floor Collapses and the World Trade Center CatastropheThe Simple Collapse Model of Bažant and Zhou is evaluated for a progressive floor collapse of a tall building. A sequence of energy estimates indexed by the collapsing floors is derived. Each of the…Ansgar Schneider·Dec 17, 2017SaveLearn
Impact-induced acceleration by obstaclesWe explore a surprising phenomenon in which an obstruction accelerates, rather than decelerates, a moving flexible object. It has been claimed that the right kind of discrete chain falling onto a…N. A. Corbin, J. A. Hanna, W. R. Royston et al.·Dec 15, 2017SaveLearn
Acoustic radiation force and torque on a viscous fluid cylindrical particle nearby a planar rigid wallThis work presents an analytical formalism for the modal series expansions of the acoustic radiation force and radiation torque experienced by a fluid viscous cylindrical object of arbitrary…F. G. Mitri·Dec 15, 2017SaveLearn
Reflection from a multi-species material and its transmitted effective wavenumberWe formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of inclusions or particles (multi-species), dispersed in a uniform…Artur L. Gower, Michael J. A. Smith, William J. Parnell et al.·Dec 14, 2017SaveLearn
New exact relations for steady irrotational two-dimensional gravity and capillary surface wavesSteady two-dimensional surface capillary-gravity waves in irrotational motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some…Didier Clamond·Dec 13, 2017SaveLearn
Bell's Spaceships: The Views from Bow and SternUnravelling apparent paradoxes has proven to be a powerful tool for understanding the complexities of special relativity. In this paper, we focus upon one such paradox, namely Bell's spaceship…Geraint F. Lewis, Luke A. Barnes, Martin J. Sticka·Dec 12, 2017SaveLearn
Applications of Fractional Calculus to Newtonian MechanicsWe investigate some basic applications of Fractional Calculus (FC) to Newtonian mechanics. After a brief review of FC, we consider a possible generalization of Newton's second law of motion and…Gabriele U. Varieschi·Dec 10, 2017SaveLearn
Semi-infinite herringbone waveguides in elastic platesThe paper includes novel results for the scattering and localisation of a time-harmonic flexural wave by a semi-infinite herringbone waveguide of rigid pins embedded within an elastic Kirchhoff…Stewart G Haslinger, Ian S Jones, Natasha V Movchan et al.·Dec 4, 2017SaveLearn
Resonance oscillation of a damped driven simple pendulumThe resonance characteristics of a driven damped harmonic oscillator are well known. Unlike harmonic oscillators which are guided by parabolic potentials, a simple pendulum oscillates under…D. Kharkongor, Mangal C. Mahato·Dec 4, 2017SaveLearn
Paradoxes of differential nonlocal cantilever beams: Reasons and a novel solutionThe paradoxes of differential nonlocal models have been attributed to the inconsistency in forming the nonlocal boundary conditions. To overcome these paradoxes, nonlocal boundary conditions should…M. Shaat, S. Faroughi, L. Abasiniyan·Dec 2, 2017SaveLearn
Poisson ratio effects on the mechanics of auxetic nanobeamsPoisson ratio is an important mechanical property that reveals the deformation patterns of materials. A positive Poisson ratio is a feature of the majority of materials. Some materials, however,…S. Faroughi, M. Shaat·Dec 2, 2017SaveLearn
The dynamics of scattering in undulatory active collisionsNatural and artificial self-propelled systems must manage environmental interactions during movement. Such interactions, which we refer to as active collisions, are fundamentally different from…Jennifer M. Rieser, Perrin E. Schiebel, Arman Pazouki et al.·Dec 1, 2017SaveLearn
Relativistic Dynamics of Point Magnetic MomentThe covariant motion of a classical point particle with magnetic moment in the presence of (external) electromagnetic fields is revisited. We are interested in understanding Lorentz force extension…Johann Rafelski, Martin Formanek, Andrew Steinmetz·Dec 1, 2017SaveLearn
Long-Range Longitudinal Electric Wave in Vacuum Radiated by Electric Dipole: Part IIn this work by using the assumptions that wavelength is much smaller than charge separation distance of an electric dipole, which in turn is much smaller than a distance up to the point of…Altay Zhakatayev, Leila Tlebaldiyeva·Nov 30, 2017SaveLearn