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We consider noise-driven exit from a domain of attraction in a two-dimensional bistable system lacking detailed balance. Through analog and digital stochastic simulations, we find a theoretically predicted bifurcation of the most probable…

Data Analysis, Statistics and Probability · Physics 2008-02-03 D. G. Luchinsky , R. S. Maier , R. Mannella , P. V. E. McClintock , D. L. Stein

Low-order quantum resonances manifested by directed currents have been realized with cold atoms. Here we show that by increasing the strength of an experimentally achievable delta-kicking ratchet potential, quantum resonances of a very high…

Quantum Physics · Physics 2009-11-13 Anatole Kenfack , Jiangbin Gong , Arjendu K. Pattanayak

Quantum ratchets exhibit asymptotic currents when driven by a time-periodic potential of zero mean if the proper spatio-temporal symmetries are broken. There has been recent debate on whether directed currents may arise for potentials which…

Quantum Gases · Physics 2012-10-22 Julio Santos , Rafael A. Molina , Juan Ortigoso , Mirta Rodríguez

A kinetic equation is derived for the phase density of a system of point particles, generating a system of integro-differential equations for distribution functions that have a deterministic meaning. The derivation took into account the…

Statistical Mechanics · Physics 2020-06-23 V. V. Zubkov , A. V. Zubkova

We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a…

Statistical Mechanics · Physics 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

Statistical Mechanics · Physics 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev

We investigate experimentally the route to quasiperiodicity in a driven ratchet for cold atoms, and examine the relationship between symmetries and transport while approaching the quasiperiodic limit. Depending on the specific form of…

Statistical Mechanics · Physics 2009-11-11 R. Gommers , S. Denisov , F. Renzoni

We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive…

Statistical Mechanics · Physics 2017-09-19 Marko Medenjak , Katja Klobas , Tomaz Prosen

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

Statistical Mechanics · Physics 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

For systems out of equilibrium and subjected to a static bias force it can often be expected that particle transport will usually follow the direction of this bias. However, counter-examples exist where particles exhibit uphill motion…

Chaotic Dynamics · Physics 2013-10-04 Colm Mulhern

We investigate the dynamics of passive particles in a two-dimensional incompressible open flow composed of a fixed topographical point vortex and a background current with a periodic component. The tracer dynamics is found to be typically…

Chaotic Dynamics · Physics 2011-11-10 M. Budyansky , M. Uleysky , S. Prants

A simple experiment using radioactive decay is proposed to test the possibility of a determinsistic, but chaotic, origin of quantum mechanical randomness.

Quantum Physics · Physics 2007-05-23 Johan Hansson

The behaviour of an electron in a potential that resembles that of a bidimensional solid with a perpendicular magnetic field applied is studied from a classical point of view. This problem presents the standard features of chaos and some…

In a model of $N$ volume-excluding spheres in a $d$-dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence the steady state distribution and axial particle current. We…

Statistical Mechanics · Physics 2021-01-15 Emil Mallmin , Richard A. Blythe , Martin Evans

This work reports the existence of Isoperiodic Stable Ratchet Transport Structures in the parameter spaces dissipation versus spatial asymmetry and versus phase of a ratchet model. Such structures were found [Phys. Rev. Lett. 106, 234101…

Chaotic Dynamics · Physics 2011-11-08 Alan Celestino , Cesar Manchein , Holokx A. Albuquerque , Marcus W. Beims

This work deals with the overdamped motion of a particle in a fluctuating one-dimensional periodic potential. If the potential has no inversion symmetry and its fluctuations are asymmetric and correlated in time, a net flow can be generated…

Condensed Matter · Physics 2016-10-26 Enrique Abad , Andreas Mielke

We present a detailed study of the transport and the efficiency of a ratchet system in a periodic potential in the presence of correlated noises. The current and the efficiency of the system are investigated. It is found that, when the…

Biological Physics · Physics 2009-11-10 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , De-Hua Wen , Wei Chen , Liang-Gang Liu

Chaos is an inherently dynamical phenomenon traditionally studied for trajectories that are either permanently erratic or transiently influenced by permanently erratic ones lying on a set of measure zero. The latter gives rise to the final…

Chaotic Dynamics · Physics 2013-11-12 Adilson E. Motter , Marton Gruiz , Gyorgy Karolyi , Tamas Tel

Classical and quantum mechanical results are reported for the single particle motion in a harmonic oscillator potential which is characterized by a quadrupole deformation and an additional octupole deformation. The chaotic character of the…

Nuclear Theory · Physics 2009-10-28 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

We demonstrate that directed transport of particles in a two dimensional driven lattice can be dynamically reversed multiple times by superimposing additional spatially localized lattices on top of a background lattice. The timescales of…

Statistical Mechanics · Physics 2023-02-10 Aritra K. Mukhopadhyay , Peter Schmelcher
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