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Transport of a Brownian particle moving in a periodic potential is investigated in the presence of symmetric unbiased external force. The viscous medium is alternately in contact with the two heat reservoirs. We present the analytical…

Biological Physics · Physics 2010-03-22 Bao-quan Ai , Liqiu Wang , Lianggang Liu

The maximum power of Feynman's ratchet as a heat engine and the corresponding efficiency ($\eta_\ast$) are investigated by optimizing both the internal parameter and the external load. When a perfect ratchet device (no heat exchange between…

Statistical Mechanics · Physics 2008-07-03 Z. C. Tu

Living cells are known to generate non-Gaussian active fluctuations significantly larger than thermal fluctuations owing to various active processes. Understanding the effect of these active fluctuations on various physicochemical…

Soft Condensed Matter · Physics 2022-07-26 Govind Paneru , Jin Tae Park , Hyuk Kyu Pak

The efficiency of different types of Brownian motors is calculated analytically and numerically. We find that motors based on flashing ratchets present a low efficiency and an unavoidable entropy production. On the other hand, a certain…

Statistical Mechanics · Physics 2009-10-31 J. M. R. Parrondo , J. M. Blanco , F. J. Cao , R. Brito

Several physical models have recently been proposed to obtain unidirectional motion of an overdamped Brownian particle in a periodic potential system. The asymmetric ratchetlike form of the periodic potential and the presence of correlated…

Condensed Matter · Physics 2015-06-25 Mangal C. Mahato , T. P. Pareek , A. M. Jayannavar

The movement of a Brownian particle in a fluctuating two-state periodic potential is investigated. At high transition rate, we use a perturbation method to obtain the analytical solution of the model. It is found that the net current is a…

Biological Physics · Physics 2007-09-17 Bao-Quan Ai , Liqiu Wang , Liang-Gang Liu

Autonomous active Brownian ratchets rectify active Brownian particle motion solely by means of a spatially modulated but stationary activity, without external forces. We argue that such ratcheting requires at least a two-dimensional…

Soft Condensed Matter · Physics 2023-05-24 Constantin Rein , Martin Kolář , Klaus Kroy , Viktor Holubec

Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady or periodic driving, close or far from…

Statistical Mechanics · Physics 2014-11-26 Gatien Verley , Tim Willaert , Christian Van den Broeck , Massimiliano Esposito

We study the efficiency fluctuations of a stochastic heat engine made of $N$ interacting unicyclic machines and undergoing a phase transition in the macroscopic limit. Depending on $N$ and on the observation time, the machine can explore…

Statistical Mechanics · Physics 2020-07-01 Hadrien Vroylandt , Massimiliano Esposito , Gatien Verley

We investigate various possible definitions of an effective temperature for a particularly simple nonequilibrium stationary system, namely a heated Brownian particle suspended in a fluid. The effective temperature based on the fluctuation…

Statistical Mechanics · Physics 2011-05-30 Laurent Joly , Samy Merabia , Jean-Louis Barrat

It has been shown that the combination of a broken spatial symmetry in the potential (or ratchet potential) and time correlations in the driving are crucial, and enough to allow transformation of the fluctuations into work. The required…

Condensed Matter · Physics 2009-10-22 Dante R. Chialvo , Mark M. Millonas

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

Collisional Brownian engines have attracted significant attention due to their simplicity, experimental accessibility, and amenability to exact analytical solutions. While previous research has predominantly focused on optimizing mean…

Statistical Mechanics · Physics 2025-11-11 Gustavo A. L. Forão , Fernando S. Filho , Pedro V. Paraguassú

Using Brownian motion in periodic potentials $V(x)$ tilted by a force $f$, we provide physical insight into the thermodynamic uncertainty relation, a recently conjectured principle for statistical errors and irreversible heat dissipation in…

Statistical Mechanics · Physics 2017-08-09 Changbong Hyeon , Wonseok Hwang

When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. Here we develop a general method for performing multi-objective optimisation of…

Quantum Physics · Physics 2021-01-04 Harry J. D. Miller , Mohammad Mehboudi

The transport of interacting Brownian particles in a periodic asymmetric (ratchet) substrate is studied numerically. In a zero-temperature regime, the system behaves as a reversible step motor, undergoing multiple sign reversals of the…

Statistical Mechanics · Physics 2008-12-31 Rogério M. da Silva , Clécio C. de Souza Silva , Sérgio Coutinho

We study transport of an inertial Brownian particle moving in a symmetric and periodic one-dimensional potential, and subjected to both a symmetric, unbiased external harmonic force as well as biased dichotomic noise $\eta(t)$ also known as…

Statistical Mechanics · Physics 2016-06-22 J. Spiechowicz , J. Luczka , L. Machura

Recently many results namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system under consideration is usually driven out of…

Statistical Mechanics · Physics 2019-10-02 Rahul Marathe , Sourabh Lahiri

An ensemble of Brownian particles in a feedback controlled flashing ratchet is studied. The ratchet potential is switched on and off depending on the position of the particles, with the aim of maximizing the current. We study in detail a…

Statistical Mechanics · Physics 2007-05-23 F. J. Cao , L. Dinis , J. M. R. Parrondo

In a stochastic heat engine driven by a cyclic non-equilibrium protocol, fluctuations in work and heat give rise to a fluctuating efficiency. Using computer simulations and tools from large deviation theory, we have examined these…

Statistical Mechanics · Physics 2014-10-27 Todd R. Gingrich , Grant M. Rotskoff , Suriyanarayanan Vaikuntanathan , Phillip L. Geissler