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We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the…

Statistical Mechanics · Physics 2024-07-25 Connor Roberts , Emir Sezik , Eloise Lardet

Using the framework of generalized exclusion processes we study mixtures of passive and active particles interacting by steric repulsion. The particles move in a pore with periodically modulated aperture, which is modeled by a…

Statistical Mechanics · Physics 2025-08-14 Frantisek Slanina , Miroslav Kotrla

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 "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

A class of exclusion processes in which particles perform history-dependent random walks is introduced, stimulated by dynamic phenomena in some biological and artificial systems. The particles locally interact with the underlying substrate…

Biological Physics · Physics 2011-08-15 Johannes H. P. Schulz , Anatoly B. Kolomeisky , Erwin Frey

The transport of a walker in rocking feedback-controlled ratchets are investigated. The walker consists of two coupled "feet" that allow the interchange of the order of the particles while the walker moves. In the underdamped case, the…

Statistical Mechanics · Physics 2017-02-09 Tianfu Gao , Zhigang Zheng , Jincan Chen

The problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type is addressed. When the inertial term is taken into account, the dynamics can be chaotic and modify the transport…

Condensed Matter · Physics 2007-05-23 José L. Mateos

We present an experimental demonstration of a deterministic optical rocking ratchet. A periodic and asymmetric light pattern is created to interact with dielectric microparticles in water, giving rise to a ratchet potential. The sample is…

Soft Condensed Matter · Physics 2015-05-28 Alejandro V. Arzola , Karen Volke-Sepúlveda , José L. Mateos

We study by simulation a mixture of active (run-and-tumble) and passive (Brownian) particles with repulsive exclusion interactions in one dimension, subject to a ratchet (smoothed sawtooth) potential. Such a potential is known to rectify…

Statistical Mechanics · Physics 2022-04-27 Jean-François Derivaux , Robert L. Jack , Michael E. Cates

In this paper, we consider a stochastic process that may experience random reset events which relocate the system to its starting position. We focus our attention on a one-dimensional, monotonic continuous-time random walk with a constant…

Mathematical Physics · Physics 2017-10-11 Miquel Montero , Axel Masó-Puigdellosas , Javier Villarroel

In this work, the ratchet dynamics of Brownian particles driven by an external sinusoidal (harmonic) force is investigated. The gating ratchet effect is observed when another harmonic is used to modulate the spatially symmetric potential in…

Statistical Mechanics · Physics 2015-03-24 Luis Dinis , Niurka R. Quintero

The intermittency is investigated when the current reversal occurs in a deterministic inertia ratchet system. To determine which type the intermittency belongs to, we obtain the return map of velocities of particle using stroboscopic…

Chaotic Dynamics · Physics 2009-11-10 W. -S. Son , I. Kim , Y. -J. Park , C. -M. Kim

Self-propelled nanoparticles moving through liquids offer the possibility of creating advanced applications where such nanoswimmers can operate as artificial molecular-sized motors. Achieving control over the motion of nanoswimmers is a…

Statistical Mechanics · Physics 2023-11-27 Artem Ryabov , Mykola Tasinkevych

In this minireview we present the main results regarding the transport properties of stochastic movement with relocations to known positions. To do so, we formulate the problem in a general manner to see several cases extensively studied…

Statistical Mechanics · Physics 2019-10-23 Axel Masó-Puigdellosas , Daniel Campos , Vicenç Méndez

Random walks are basic diffusion processes on networks and have applications in, for example, searching, navigation, ranking, and community detection. Recent recognition of the importance of temporal aspects on networks spurred studies of…

Physics and Society · Physics 2015-01-14 Leo Speidel , Renaud Lambiotte , Kazuyuki Aihara , Naoki Masuda

We propose a generalization of the stochastic resetting mechanism for a Brownian particle diffusing in a one-dimensional periodic potential: randomly in time, the particle gets reset at the bottom of the potential well it was in. Numerical…

Statistical Mechanics · Physics 2025-08-18 Pulak K. Ghosh , Shubhadip Nayak , Jianli Liu , Yunyun Li , Fabio Marchesoni

In this work we show that optimal ratchet currents of two interacting particles are obtained when stable periodic motion is present. By increasing the coupling strength between identical ratchet maps, it is possible to find, for some…

Chaotic Dynamics · Physics 2019-12-12 Rafael M. da Silva , Cesar Manchein , Marcus W. Beims

We present and compare different versions of a simple particle pump-model that describes average directed current of repulsively interacting particles in a narrow channel, due to time-varying local potentials. We analyze the model on…

Statistical Mechanics · Physics 2015-09-16 Debasish Chaudhuri

Ratchets are devices able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets the asymmetry is induced through a proper choice of external forces and modulations of nonlinear symmetric…

Pattern Formation and Solitons · Physics 2014-02-25 José A. Cuesta , Niurka R. Quintero , Renato Alvarez-Nodarse

We study the rectified transport of underdamped active noninteracting particles in an asymmetric periodic potential. It is found that the ratchet effect of active noninteracting particles occurs in a single direction (along the easy…

Soft Condensed Matter · Physics 2017-03-30 Bao-quan Ai , Feng-guo Li
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