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We present a self contained formalism modelled after the Brownian motion of a quantum harmonic oscillator for describing the performance of microscopic Brownian heat engines like Carnot, Stirling and Otto engines. Our theory, besides…

Quantum Physics · Physics 2013-03-07 G. S. Agarwal , S. Chaturvedi

We present a detailed study of a Brownian particle driven by Carnot-type refrigerating protocol operating between two thermal baths. Both the underdamped as well as the overdamped limits are investigated. The particle is in a harmonic…

Statistical Mechanics · Physics 2015-11-04 Shubhashis Rana , P. S. Pal , Arnab Saha , A. M. Jayannavar

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

The area of stochastic heat engines using active particles has attracted a lot of attention recently. They have been shown to exhibit advantages over engines using passive particles. In this work, we use multiple self-propelling particles…

Statistical Mechanics · Physics 2023-04-25 Aradhana Kumari , Md Samsuzzaman , Arnab Saha , Sourabh Lahiri

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

Statistical Mechanics · Physics 2018-12-05 Arnab Saha , Rahul Marathe , P. S. Pal , A. M. Jayannavar

We model a Brownian heat engine as a Brownian particle that hops in a periodic ratchet potential where the ratchet potential is coupled with a linearly decreasing background temperature. It is shown that the efficiency of such Brownian heat…

Statistical Mechanics · Physics 2016-06-29 Mesfin Asfaw Taye

When a Brownian particle in contact with a heat bath at a constant temperature is controlled by a time-dependent harmonic potential, its distribution function can be rigorously derived from the Kramers equation with the consideration of the…

Statistical Mechanics · Physics 2014-06-03 Z. C. Tu

The construction of efficient thermal engines operating at finite times constitutes a fundamental and timely topic in nonequilibrium thermodynamics. We introduce a strategy for optimizing the performance of Brownian engines, based on a…

Statistical Mechanics · Physics 2021-08-04 C. E. Fernández Noa , Angel L. L. Stable , William G. C. Oropesa , Alexandre Rosas , C. E. Fiore

We investigate the self-propulsion of an inertial active particle confined in a two-dimensional harmonic trap. The particle is suspended in a non-Newtonian or viscoelastic suspension with a friction kernel that decays exponentially with a…

Soft Condensed Matter · Physics 2024-02-09 F Adersh , M Muhsin , M Sahoo

Micro-to-nano scale thermal devices that operate under large thermal fluctuations, are an active field of research where instead the average values, the full distributions of thermodynamic quantities are important. Here we study a model of…

Statistical Mechanics · Physics 2016-12-30 Arnab Saha , A. M. Jayannavar

We derive an analytic expression for the mechanical pressure of a generic one-dimensional model of confined active Brownian particles (ABPs) that is valid for all values of Peclet number Pe and all confining scenarios. Our model reproduces…

Soft Condensed Matter · Physics 2021-06-30 Paolo Malgaretti , Piotr Nowakowski , Holger Stark

Many active particles are embedded in environments that exhibit viscoelastic properties. An important class of such media lacks a single characteristic relaxation timescale when subjected to a time-dependent stress. Rather, the stress…

Soft Condensed Matter · Physics 2025-12-24 David Santiago Quevedo , Monica Conte , Marjolein Dijkstra , Cristiane Morais Smith

Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely…

Statistical Mechanics · Physics 2024-01-09 Marco Baldovin , David Guéry-Odelin , Emmanuel Trizac

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

Statistical Mechanics · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

A typical model for a gyrating engine consists of an inertial wheel powered by an energy source that generates an angle-dependent torque. Examples of such engines include a pendulum with an externally applied torque, Stirling engines, and…

We discuss an autonomous motor based on a Brownian particle driven from thermal equilibrium by periodic in time variation of the internal potential through which the particle interacts with molecules of the surrounding thermal bath. We…

Statistical Mechanics · Physics 2015-06-23 A. V. Plyukhin

We model a tiny heat engine as a Brownian particle that moves in a viscous medium in a sawtooth potential (with or without load) assisted by $\it {alternately}$ placed hot and cold heat baths along its path. We find closed form expression…

Statistical Mechanics · Physics 2009-11-11 Mesfin Asfaw , Mulugeta Bekele

Escape of active agents from metastable states is of great interest in statistical and biological physics. In this study, we investigate the escape of a flexible active ring, composed of active Brownian particles, from a flat attractive…

Soft Condensed Matter · Physics 2024-08-21 Bin Tang , Jin-cheng Gao , Kang Chen , Tian Hui Zhang , Wen-de Tian

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

The structural and dynamical properties of suspensions of self-propelled Brownian particles of spherical shape are investigated in three spatial dimensions. Our simulations reveal a phase separation into a dilute and a dense phase, above a…

Soft Condensed Matter · Physics 2015-05-12 Adam Wysocki , Roland G. Winkler , Gerhard Gompper