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We explore rectification phenomena in a system where two-dimensional random walkers interact with a funnel-shaped ratchet under two distinct classes of reflection rules. The two classes include the angle of reflection exceeding the angle of…

Statistical Mechanics · Physics 2023-11-01 Vidyesh Rao Anisetti , Sharath Ananthamurthy , J. M. Schwarz

Static nonreciprocal forces between particles generically drive persistent motion reminiscent of self-propulsion. Here, we demonstrate that reciprocity-breaking fluctuations about a reciprocal mean coupling strength are sufficient to…

Soft Condensed Matter · Physics 2023-04-18 Luca Cocconi , Henry Alston , Thibault Bertrand

We study the performance of a quantum Otto heat engine with two spins coupled by a Heisenberg interaction, taking into account not only the mean values of work and efficiency but also their fluctuations. We first show that, for this system,…

Quantum Physics · Physics 2024-06-12 Maron F. Anka , Thiago R. de Oliveira , Daniel Jonathan

Active particles have become a subject of intense interest across several disciplines from animal behavior to granular physics. Usually the models of such particles contain an explicit internal driving. Here we propose a model with implicit…

Statistical Mechanics · Physics 2019-10-23 Reinaldo García-García , Pierre Collet , Lev Truskinovsky

Examples of self propulsion in strongly fluctuating environment is abound in nature, e.g., molecular motors and pumps operating in living cells. Starting from Langevin equation of motion, we develop a fluctuating thermodynamic description…

Statistical Mechanics · Physics 2015-02-20 Chandrima Ganguly , Debasish Chaudhuri

Dynamics of molecular motors that move along linear lattices and interact with them via reversible destruction of specific lattice bonds is investigated theoretically by analyzing exactly solvable discrete-state ``burnt-bridge'' models.…

Soft Condensed Matter · Physics 2009-11-13 Max N. Artyomov , Alexander Yu. Morozov , Anatoly B. Kolomeisky

In the Coulomb blockade regime of a ballistic quantum dot, the distribution of conductance peak spacings is well known to be incorrectly predicted by a single-particle picture; instead, matrix element fluctuations of the residual electronic…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 L. Kaplan

We consider an interacting particle system on the one dimensional lattice $\bf Z$ modeling combustion. The process depends on two integer parameters $2\le a<M<\infty$. Particles move independently as continuous time simple symmetric random…

Probability · Mathematics 2016-09-07 Francis Comets , Jeremy Quastel , Alejandro F. Ramirez

We analyze the rectified motion of a Brownian particle in a confined environment. We show the emergence of strong cooperativity between the inherent rectification of the ratchet mechanism and the entropic bias of the fluctuations caused by…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

We analyse a continuous-time random walk model with stochastic reversals of direction. There is no external potential but the reorientation mechanism generates a non-zero current from asymmetry in the forward and backward waiting-time…

Statistical Mechanics · Physics 2026-02-27 Venkata D. Pamulaparthy , Rosemary J. Harris

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

We consider the effects of long-range temporal correlations in many-particle systems, focusing particularly on fluctuations about the typical behaviour. For a specific class of memory dependence we discuss the modification of the large…

Statistical Mechanics · Physics 2015-12-24 Rosemary J. Harris

This review is focused on the application of specific fluctuation relations, such as the Gallavotti-Cohen relation, to ratchet models of a molecular motor. A special emphasis is placed on two-states models such as the flashing ratchet…

Statistical Mechanics · Physics 2011-03-02 D. Lacoste , K. Mallick

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

Nanoscale machines are strongly influenced by thermal fluctuations, contrary to their macroscopic counterparts. As a consequence, even the efficiency of such microscopic machines becomes a fluctuating random variable. Using geometric…

Statistical Mechanics · Physics 2019-04-16 Sreekanth K Manikandan , Lennart Dabelow , Ralf Eichhorn , Supriya Krishnamurthy

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

Patterns are ubiquitous in nature, but how they form is often unclear. Turing developed a seminal theory to explain patterns based on reactions that counteract the equalizing tendency of diffusion. These reactions require continuous energy…

Biological Physics · Physics 2025-11-24 Cathelijne ter Burg , David Zwicker

Molecular motors in biological systems are expected to use ambient fluctuation. In a recent Letter [Phys. Rev. Lett. {\bf 80}, 5251 (1998)], it was showed that the following question was unsolved, ``Can thermal noise facilitate energy…

Statistical Mechanics · Physics 2009-10-31 Fumiko Takagi , Tsuyoshi Hondou

Biochemical reactions are fundamentally noisy at a molecular scale. This limits the precision of reaction networks, but also allows fluctuation measurements which may reveal the structure and dynamics of the underlying biochemical network.…

Biological Physics · Physics 2018-04-11 Harmen Wierenga , Pieter Rein ten Wolde , Nils B. Becker

We investigate the influence of a stochastically fluctuating step-barrier potential on bimolecular reaction rates by exact analytical theory and stochastic simulations. We demonstrate that the system exhibits a new resonant reaction…

Chemical Physics · Physics 2016-03-23 Jakob J. Kolb , Stefano Angioletti-Uberti , Joachim Dzubiella
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