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In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

We describe an experiment on an underdamped mechanical oscillator used as an information engine. The system is equivalent to an inertial Brownian particle confined in a harmonic potential whose center is controlled by a feedback protocol…

Statistical Mechanics · Physics 2025-01-23 Aubin Archambault , Caroline Crauste-Thibierge , Sergio Ciliberto , Ludovic Bellon

We study dynamical properties of confined, self-propelled Brownian particles in an inhomogeneous activity profile. Using Brownian dynamics simulations, we calculate the probability to reach a fixed target and the mean first passage time to…

Soft Condensed Matter · Physics 2019-08-30 Hidde Vuijk , Abhinav Sharma , Debasish Mondal , Jens-Uwe Sommer , Holger Merlitz

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

Numerical simulations are performed on the collective dynamics of active disks, whose self-propulsion speed ($U$) varies in time, and whose orientation evolves according to rotational Brownian motion. Two protocols for the evolution of…

Soft Condensed Matter · Physics 2023-11-03 R. Kailasham , Aditya S. Khair

The thermodynamics of mesoscopic systems driven by time-varying temperatures is crucial for understanding biological systems, designing nanoscale engines, and performing micro-particle cooling. In this work, we analyze an underdamped…

Statistical Mechanics · Physics 2025-09-03 Felipe P. Abreu , Welles A. M. Morgado

Brownian dynamics simulations are an increasingly popular tool for understanding spatially-distributed biochemical reaction systems. Recent improvements in our understanding of the cellular environment show that volume exclusion effects are…

Chemical Physics · Physics 2017-09-13 Stephen Smith , Ramon Grima

We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a…

Statistical Mechanics · Physics 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

We study the mean velocity and diffusion constant in three related models of molecular Brownian ratchets. Brownian ratchets can be used to describe translocation of biopolymers like DNA through nanopores in cells in the presence of…

Statistical Mechanics · Physics 2018-08-08 Matthias Uhl , Udo Seifert

Thermodynamics of nanoscale devices is an active area of research. Despite their noisy surround- ing they often produce mechanical work (e.g. micro-heat engines) or display rectified Brownian motion (e.g. molecular motors). This invokes the…

Statistical Mechanics · Physics 2016-09-14 Arnab Saha , Rahul Marathe , A. M. Jayannavar

The energy partitioning during activation and relaxation events under steady-state conditions for a Brownian particle driven by multiple thermal reservoirs of different local temperatures is investigated. Specifically, we apply the…

Statistical Mechanics · Physics 2019-08-02 Galen T. Craven , Renai Chen , Abraham Nitzan

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

The Rouse model with internal friction (RIF), a widely used theoretical framework to interpret the effects of internal friction on conformational transitions in biomolecules, is shown to be an approximate treatment that is based on…

Soft Condensed Matter · Physics 2022-06-07 R. Kailasham , Rajarshi Chakrabarti , J. Ravi Prakash

Suspensions of purely repulsive but self-propelled Brownian particles might undergo phase separation, a phenomenon that strongly resembles the phase separation of passive particles with attractions. Here we employ computer simulations to…

Statistical Mechanics · Physics 2016-08-05 David Richard , Hartmut Löwen , Thomas Speck

We have realized a Brownian motor by using cold atoms in a dissipative optical lattice as a model system. In our experiment the optical potential is spatially symmetric and the time-symmetry of the system is broken by applying appropriate…

Statistical Mechanics · Physics 2009-11-11 P. H. Jones , M. Goonasekera , F. Renzoni

An angular time-dependent probability density function describing Brownian or anomalous rotational dynamics of fixed-length atom-to-atom vectors is presented. The probability density function, which fully incorporates angular boundary…

Other Condensed Matter · Physics 2023-03-07 David A. Faux , Örs Istók , Arifah A. Rahaman , Peter J. McDonald , Eoin McKiernan , Dermot F. Brougham

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 consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

Statistical Mechanics · Physics 2018-08-01 Deepak Gupta

A colloidal particle embedded in a fluid can be used as a microscopic heat engine by means of a sequence of cyclic transformations imposed by an optical trap. We investigate a model for the operation of such kind of Brownian engines when…

Soft Condensed Matter · Physics 2021-03-30 Juan Ruben Gomez-Solano

A particle diffusing around a point of stable mechanical equilibrium in a static but non-conservative force field enters into a steady state characterized by circulation in the probability flux. Circulation in such a Brownian vortex is not…

Soft Condensed Matter · Physics 2009-03-17 Bo Sun , Jiayi Lin , Ellis Darby , Alexander Y. Grosberg , David G. Grier