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We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

Condensed Matter · Physics 2009-10-31 Doron Cohen

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is driven by fluctuating forces which stem from active processes in the system, such as self-propulsion or collisions with other active particles.…

Statistical Mechanics · Physics 2019-04-24 Lennart Dabelow , Stefano Bo , Ralf Eichhorn

Physical scenarios that require a relativistic treatment are ubiquitous in nature, ranging from cosmological objects to charge carriers in Dirac materials. Interestingly all of these situations have in common that the systems typically…

Statistical Mechanics · Physics 2020-08-11 P. S. Pal , Sebastian Deffner

We revisit the problem of diffusion in a driven system consisting of an inertial Brownian particle moving in a symmetric periodic potential and subjected to a symmetric time-periodic force. We reveal parameter domains in which diffusion is…

Statistical Mechanics · Physics 2022-11-23 I. G. Marchenko , A. Zhiglo , V. Aksenova , V. Tkachenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

The underdamped Langevin equation of motion of a particle, in a symmetric periodic potential and subjected to a symmetric periodic forcing with mean zero over a period, with nonuniform friction, is solved numerically. The particle is shown…

Statistical Mechanics · Physics 2008-07-29 S. Saikia , Mangal C. Mahato

Stochastic heating is a well-known mechanism through which magnetized particles may be energized by low-frequency electromagnetic waves. In its simplest version, under spatially homogeneous conditions, it is known to be operative only above…

Plasma Physics · Physics 2023-06-07 F. Sattin , D. F. Escande

A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Sect. 2 is…

Statistical Mechanics · Physics 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in deterministic systems to give rise of completely new phenomena…

Statistical Mechanics · Physics 2021-09-15 Jakub Spiechowicz , Jerzy Łuczka

One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the…

Statistical Mechanics · Physics 2013-05-29 Claudio Giberti , Lamberto Rondoni

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia

The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant speed and an electric circuit with an imposed mean current.…

Statistical Mechanics · Physics 2016-08-31 David Andrieux , Pierre Gaspard , Sergio Ciliberto , Nicolas Garnier , Sylvain Joubaud , Artyom Petrosyan

We explore fluctuation relations in a periodically driven micromechanical torsional oscillator. In the linear regime where the modulation is weak, we verify that the ratio of the work variance to the mean work is constant, consistent with…

Statistical Mechanics · Physics 2019-09-04 P. Zhou , X. Dong , C. Stambaugh , H. B. Chan

By studying a system of Brownian particles, interacting only through a local social-like force (velocity alignment), we show that self-propulsion is not a necessary feature for the flocking transition to take place as long as underdamped…

Statistical Mechanics · Physics 2015-07-31 Victor Dossetti , Francisco J. Sevilla

Ratchet effect in a driven underdamped periodic potential system is studied. The presence of a space dependent and periodic friction coefficient, but with a phase difference with the symmetric periodic potential is shown to generate…

Statistical Mechanics · Physics 2017-01-04 Shantu Saikia

For free particles in a simple harmonic potential plus a weak anharmonicity, characterized by a set of anharmonic parameters, Newtonian mechanics asserts that there is a renormalization of the natural frequency of the periodic motion; and…

Statistical Mechanics · Physics 2023-07-04 Y. T. Liu , Y. H. Zhao , Y. Zhong , J. M. Shen , J. H. Zhang , Q. H. Liu

We address a recently introduced model describing a system of periodically coupled nonlinear phase oscillators submitted to multiplicative white noises, wherein a ratchet-like transport mechanism arises through a symmetry-breaking…

Statistical Mechanics · Physics 2009-10-31 S. E. Mangioni , R. R. Deza , H. S. Wio

We study homogenization problem for the stationary Maxwell system. It is supposed that the magnetic permeability and the dielectric permittivity locally close to fast-oscillating (with respect to some small parameter) periodic functions…

Mathematical Physics · Physics 2011-01-28 Alexey A. Pozharskii

Time-lapse microscopy imaging provides direct access to the dynamics of soft and living systems. At mesoscopic scales, such microscopy experiments reveal intrinsic fluctuations, which may have both thermal and non-equilibrium origins. These…

Biological Physics · Physics 2020-12-02 F. S. Gnesotto , G. Gradziuk , P. Ronceray , C. P. Broedersz

The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale techniques are used to derive general formulae for the steady…

Statistical Mechanics · Physics 2007-05-23 G. A. Pavliotis

Motivated by uncertainty quantification in natural transport systems, we investigate an individual-based transport process involving particles undergoing a random walk along a line of point sinks whose strengths are themselves independent…

Statistical Mechanics · Physics 2016-10-26 Matthew J. Russell , Oliver E. Jensen , Tobias Galla