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We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

When two or more energy bands become degenerate at a singular point in the momentum space, such singularity, or ``Dirac points", gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points…

Quantum Gases · Physics 2025-09-09 Yunda Li , Wei Han , Zengming Meng , Wenxin Yang , Cheng Chin , Jing Zhang

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

A problem of diffraction by an elongated body of revolution is studied. The incident wave falls along the axis. The wavelength is small comparatively to the dimensions of the body. The parabolic equation of the diffraction theory is used to…

Analysis of PDEs · Mathematics 2017-05-01 A. V. Shanin , A. I. Korolkov

We consider the motion of a particle along the geodesic lines of the Poincar\`e half-plane. The particle is specularly reflected when it hits randomly-distributed obstacles that are assumed to be motionless. This is the hyperbolic version…

Mathematical Physics · Physics 2016-02-17 Enzo Orsingher , Costantino Ricciuti , Francesco Sisti

Although zitterbewegung -- the jittery motion of relativistic particles -- is known since 1930 and was predicted in solid state systems long ago, it has been directly measured so far only in so-called quantum simulators, i.e. quantum…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Phillipp Reck , Cosimo Gorini , Klaus Richter

We study a system of self-propelled disks that perform run-and-tumble motion, where particles can adopt more than one internal state. One of those internal states can be transmitted to another particle if the particle carrying this state…

Biological Physics · Physics 2019-12-30 Fernando Peruani , Gustavo Sibona

Diffusive molecular dynamics is a novel model for materials with atomistic resolution that can reach diffusive time scales. The main ideas of diffusive molecular dynamics are to first minimize an approximate variational Gaussian free energy…

Numerical Analysis · Mathematics 2015-06-09 Gideon Simpson , Mitchell Luskin , David J. Srolovitz

We present an experimental study of the kinetics of orbitally-shaken macroscopic particles confined to a two-dimensional bounded domain. Discounting the forcing action of the external periodic actuation, the particles show translational…

Particle transport and energy flow are central for our understanding of a wealth of phenomena in physics and the natural sciences. Interactions are generically expected to promote ergodicity and diffusive behavior, yet quantum interference…

We prove that a class of random walks on $\Z^2$ with long-range self-repulsive interactions have a diffusive-ballistic phase transition.

Mathematical Physics · Physics 2009-11-13 Aldo Procacci , Remy Sanchis , Benedetto Scoppola

We reinvestigate a paradigmatic model of nonequilibrium statistical physics consisting of an inertial Brownian particle in a symmetric periodic potential subjected to both a time--periodic force and a static bias. In doing so we focus on…

Statistical Mechanics · Physics 2023-06-21 Mateusz Wiśniewski , Jakub Spiechowicz

The velocity relaxation of an impulsively forced spherical particle in a fluid confined by two parallel plane walls is studied using a direct numerical simulation approach. During the relaxation process, the momentum of the particle is…

Fluid Dynamics · Physics 2015-06-15 Rei Tatsumi , Ryoichi Yamamoto

The random walk of test particle in low-density gas is considered basing on approximate coarsened version of the collisional representation of the BBGKY equations. The coarsening presumes that momentum relaxation rates of the test particle…

Statistical Mechanics · Physics 2010-07-14 Yu. E. Kuzovlev

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Ito

We combine experiments and numerical simulations to investigate the emergence of clogging in a system of interacting paramagnetic colloidal particles driven against a disordered landscape of larger obstacles. We consider a single aperture…

Soft Condensed Matter · Physics 2020-07-10 Sergi Granados Leyva , Ralph Lukas Stoop , Pietro Tierno , Ignacio Pagonabarraga

We look at the time dependent fluctuations of the electrical charge in an open 1D quantum system represented by a quantum dot experiencing random lateral motion. In essentially non-adiabatic settings we study both diffusive and ballistic…

Chaotic Dynamics · Physics 2016-04-19 Stanislav Derevyanko , Daniel Waltner

We explore the potential of twisted light as a tool to unveil many-body effects in parabolically confined systems. According to the Generalized Kohn Theorem, the dipole response of such a multi-particle system to a spatially homogeneous…

Quantum Physics · Physics 2021-05-13 Johanna I Fuks , Guillermo F Quinteiro , Heiko Appel , Pablo I Tamborenea

The linearized potential of a moving test charge in a one-component fully degenerate fermion plasma is studied using the Lindhard dielectric function. The motion is found to greatly enhance the Friedel oscillations behind the charge,…

Plasma Physics · Physics 2010-09-01 D. Else , R. Kompaneets , S. V. Vladimirov

We study the long-time behavior of two run-and-tumble particles on the real line subjected to an attractive interaction potential and jamming interactions, which prevent the particles from crossing. We provide the explicit invariant…

Probability · Mathematics 2025-01-22 Leo Hahn