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Related papers: Ratchet-mediated resetting: Current, efficiency, a…

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Brownian transport of self-propelled overdamped microswimmers (like Janus particles) in a two-dimensional periodically compartmentalized channel is numerically investigated for different compartment geometries, boundary collisional…

Biological Physics · Physics 2013-07-02 Pulak Kumar Ghosh , Vyacheslav R. Misko , Fabio Marchesoni , Franco Nori

We develop an exactly-solvable three-state discrete-time minimal Brownian ratchet (MBR), where the transition probabilities between states are asymmetric. By solving the master equations we obtain the steady-state probabilities. Generally…

Statistical Mechanics · Physics 2009-11-07 Youngki Lee , Andrew Allison , Derek Abbott , H. Eugene Stanley

Although resetting has widespread applicability, applying it to the dynamics in the presence of spatial quenched disorder, which is essential in many physical problems, is challenging. In this study, we consider a well-known one-dimensional…

Statistical Mechanics · Physics 2026-04-06 Riya Verma , Binayak Banerjee , Shamik Gupta , Saroj Kumar Nandi

We study the transport properties for a walker on a ratchet potential. The walker consists of two particles coupled by a bistable potential that allow the interchange of the order of the particles while moving through a one-dimensional…

Adaptation and Self-Organizing Systems · Physics 2012-01-24 José L. Mateos , Fernando R. Alatriste

We study the deterministic dynamics of a periodically driven particle in the underdamped case in a spatially symmetric periodic potential. The system is subjected to a space-dependent friction coefficient, which is similarly periodic as the…

Statistical Mechanics · Physics 2015-05-18 Shantu Saikia , Mangal C. Mahato

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

We give an overview over recent studies on the model of Active Brownian Motion (ABM) coupled to reservoirs providing free energy which may be converted into kinetic energy of motion. First, we present an introduction to a general concept of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Alessandro Fiasconaro , Werner Ebeling , Ewa Gudowska-Nowak

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

Feedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate the switching on and off a periodic potential. We discuss different strategies for this operation with the aim of maximizing the…

Statistical Mechanics · Physics 2009-01-06 M. Feito , F. J. Cao

The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by…

Statistical Mechanics · Physics 2021-08-31 Karol Capała , Bartłomiej Dybiec

The problem of transport through nanochannels is one of the major questions in cell biology, with a wide range of applications. Brownian ratchets are fundamental in various biochemical processes, and are roughly divided into two categories:…

Soft Condensed Matter · Physics 2013-07-24 Anna Lappala , Alessio Zaccone , Eugene M. Terentjev

We investigate an intermittent stochastic process, in which the diffusive motion with time-dependent diffusion coefficient $D(t)\sim t^{\alpha-1}$, $\alpha>0$ (scaled Brownian motion), is stochastically reset to its initial position and…

Statistical Mechanics · Physics 2019-07-24 Anna S. Bodrova , Aleksei V. Chechkin , Igor M. Sokolov

We study the long-time behavior of underdamped Brownian particle moving through a viscous medium and in a systematic potential, when it is subjected to a space-dependent high-frequency periodic force. When the frequency is very large, much…

Statistical Mechanics · Physics 2009-11-11 Malay Bandyopadhyay , Sushanta Dattagupta , Monamie Sanyal

Resetting or restart, when applied to a stochastic process, usually brings its dynamics to a time-independent stationary state. In turn, the optimal resetting rate makes the mean time to reach a target to be the shortest one. These and…

Statistical Mechanics · Physics 2022-08-31 Przemyslaw Chelminiak

Electronic ratchets transduce local spatial asymmetries into directed currents in the absence of a global drain bias, by rectifying temporal signals that reside far from thermal equilibrium. We show that the absence of a drain bias can…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Mehdi Kabir , Dincer Unluer , Lijun Li , Avik W. Ghosh , Mircea R. Stan

Recent experiments have implemented resetting by means of an external trap, whereby a system relaxes to the minimum of the trap and is reset in a finite time. In this work, we set up and analyse the thermodynamics of such a protocol. We…

Statistical Mechanics · Physics 2024-10-01 Kristian Stølevik Olsen , Deepak Gupta , Francesco Mori , Supriya Krishnamurthy

We report a theoretical study of an overdamped Brownian particle dynamics in the presence of both a spatially modulated one-dimensional periodic potential and a periodic alternating force (AF). As the periodic potential has a low symmetry…

Statistical Mechanics · Physics 2013-05-29 M. V. Fistul

Transport of Brownian particles interacting with each other via the Morse potential is investigated in the presence of an ac driving force applied locally at one end of the chain. By using numerical simulations, we find that the system can…

Statistical Mechanics · Physics 2012-08-16 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions and abrupt resetting events to a set of reference values. The inclusion of the resetting mechanism not only provides the…

Statistical Mechanics · Physics 2022-12-21 Oriol Artime

Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff…

Statistical Mechanics · Physics 2025-07-29 Rémi Goerlich , Kristian Stølevik Olsen , Hartmut Löwen , Yael Roichman
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