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An asymmetric Brownian particle subjected to an external time-dependent force may acquire a net drift velocity, and thus operate as a motor or ratchet, even if the external force is represented by an unbiased time-periodic function or by a…

Statistical Mechanics · Physics 2018-11-14 A. V. Plyukhin

We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases…

Soft Condensed Matter · Physics 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

Statistical Mechanics · Physics 2009-06-05 Peter Hanggi , Fabio Marchesoni

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

Statistical Mechanics · Physics 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

Ratchet effects can arise for single or collectively interacting Brownian particles on an asymmetric substrate when a net dc transport is produced by an externally applied ac driving force or by periodically flashing the substrate.…

Soft Condensed Matter · Physics 2017-12-06 C. J. Olson Reichhardt , C. Reichhardt

Brownian computers utilize thermal fluctuations as a resource for computation and hold promise for achieving ultra-low-energy computations. However, the lack of a statistical direction in Brownian motion necessitates the incorporation of…

Statistical Mechanics · Physics 2025-12-23 Sho Nakade , Ferdinand Peper , Kazuki Kanki , Tomio Petrosky

Controlled long-range transport of micro- and nano-scale objects is a key requirement in lab-on-a-chip and microfluidic applications, enabling the efficient capture, concentration, manipulation, and detection of analytes. Traditional…

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

We consider the transport of rigid objects with internal structure in a flashing ratchet potential by investigating the overdamped behavior of a rod-like chain of evenly spaced point particles. In 1D, analytical arguments show that the…

Statistical Mechanics · Physics 2009-11-11 Erin M. Craig , Martin J. Zuckermann , Heiner Linke

Here we present a Brownian ratchet based on plasmonic interactions. By periodically turning on and off a laser beam that illuminates a periodic array of plasmonic nanostructures with broken spatial symmetry, the random thermal motion of a…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 Paloma A. Huidobro , Sadao Ota , Xiaodong Yang , Xiaobo Yin , F. J. Garcia-Vidal , Xiang Zhang

The objective of this work is to provide a general introduction into the symmetry analysis of the rachet effect using a simple, non-interacting one-particle dynamics. Despite its simplicity, this model contains all the basic aspects of…

Statistical Mechanics · Physics 2008-01-29 S. Denisov , S. Flach , P. Hänggi

We consider a primary model of ac-driven Brownian motors, i.e., a classical particle placed in a spatial-time periodic potential and coupled to a heat bath. The effects of fluctuations and dissipations are studied by a time-dependent…

Statistical Mechanics · Physics 2009-07-01 S. Denisov , P. Hanggi , J. L. Mateos

In systems possessing a spatial or dynamical symmetry breaking thermal Brownian motion combined with unbiased, non-equilibrium noise gives rise to a channelling of chance that can be used to exercise control over systems at the micro- and…

Statistical Mechanics · Physics 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

Quantum-resonance ratchets have been realized over the last ten years for the production of directed currents of atoms. These non-dissipative systems are based on the interaction of a Bose-Einstein condensate with an optical standing wave…

The directed transport of an overdamped Brownian motor moving in a spatially periodic potential that lacks reflection symmetry (i.e. a ratchet potential) is studied when driven by thermal and dichotomic nonequilibrium noise in the presence…

Soft Condensed Matter · Physics 2008-08-05 Lukasz Machura , Jerzy Luczka , Peter Talkner , Peter Hänggi

On the basis of the transport features and experimental phenomena observed in studies of molecular motors, we proposea double-temperature ratchet model of coupled motors to reveal the dynamical mechanism of cooperative transport of motors…

Classical Physics · Physics 2017-02-24 Chen-pu Li , Hong-bin Chen , Zhi-gang Zheng

Brownian ratchet has emerged as a promising tool for understanding motion mechanism of molecules and proteins, and dynamically manipulating particles in non-equilibrium thermodynamics state. Here, we propose and experimentally demonstrate a…

Optics · Physics 2021-06-02 Xionggui Tang , Yanhua Xu

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

We present a perturbative study of the response of cold atoms in an optical lattice to a weak time- and space-asymmetric periodic driving signal. In the noninteracting limit, and for a finite set of resonant frequencies, we show how a…

Quantum Gases · Physics 2015-05-18 Martin Heimsoth , Charles E. Creffield , Fernando Sols