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Nonergodic Brownian motion is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding either a vanishing or a divergent zero-frequency friction strength, the non-Markovian Browninan dynamics exhibits…

Statistical Mechanics · Physics 2007-05-23 Jing-Dong Bao , Yi-Zhong Zhuo , Fernando A. Oliveira , Peter Hänggi

Thermodynamic uncertainty relations quantifying a trade-off between current fluctuation and entropy production have been found in various stochastic systems. Herein, we study the thermodynamic uncertainty relations for Langevin systems…

Statistical Mechanics · Physics 2020-01-22 Tan Van Vu , Yoshihiko Hasegawa

The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of its components to heat baths kept at different…

Statistical Mechanics · Physics 2022-08-09 S. Cerasoli , S. Ciliberto , E. Marinari , G. Oshanin , L. Peliti , L. Rondoni

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

Probability · Mathematics 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

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

We present a simple kinematic model of a non-equilibrium steady state device, which can operate either as a heat engine or as a refrigerator. The model is composed of two or more scattering channels where the motion is fully described by…

Statistical Mechanics · Physics 2015-05-28 Martin Horvat , Tomaž Prosen , Giulio Casati

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

Soft Condensed Matter · Physics 2014-02-19 Soya Shinkai , Yuichi Togashi

We present a microscopic Hamiltonian framework to develop Maxwell demon like engine. Our model consists of a equilibrium thermal bath and a non-equilibrium bath; latter generated by driving with an external stationary, Gaussian noise. The…

Statistical Mechanics · Physics 2007-12-13 Jyotipratim Ray Chaudhuri , Sudip Chattopadhyay , Suman Kumar Banik

We investigate to what extent one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for three-dimensional self-assembly of magnetically interacting macroscopic particles. We confirm that the…

Microscopic heat engines are microscale systems that convert energy flows between heat reservoirs into work or systematic motion. We have experimentally realized a minimal microscopic heat engine. It consists of a colloidal Brownian…

Statistical Mechanics · Physics 2017-11-15 Aykut Argun , Jalpa Soni , Lennart Dabelow , Stefano Bo , Giuseppe Pesce , Ralf Eichhorn , Giovanni Volpe

Onsager symmetry implies that a Brownian motor, driven by a temperature gradient, will also perform a refrigerator function upon loading. We analytically calculate the corresponding heat flux for an exactly solvable microscopic model and…

Statistical Mechanics · Physics 2007-05-23 C. Van den Broeck , R. Kawai

Colloidal heat engines extract power out of a fluctuating bath by manipulating a confined tracer. Considering a self-propelled tracer surrounded by a bath of passive colloids, we optimize the engine performances based on the maximum…

Statistical Mechanics · Physics 2018-05-17 D. Martin , C. Nardini , M. E. Cates , É. Fodor

In Szilard's engine, measurement and feedback allows to extract work from an equilibrium environment, a process otherwise forbidden by the laws of thermodynamics. Recent theoretical developments have established fluctuation theorems and…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 David Barker , Sebastian Lehmann , Kimberly A. Dick , Peter Samuelsson , Ville Maisi , Patrick P. Potts

We investigated three models of Brownian motors which convert rotational diffusion into directed translational motion by switching on and off a potential. In the first model a spatially asymmetric potential generates directed translational…

Statistical Mechanics · Physics 2009-11-11 Brian Geislinger , Ryoichi Kawai

Heat engines and information engines have each historically served as motivating examples for the development of thermodynamics. While these two types of systems are typically thought of as two separate kinds of machines, recent empirical…

Statistical Mechanics · Physics 2024-12-30 Matthew P. Leighton , Jannik Ehrich , David A. Sivak

A model of an autonomous isothermal Brownian motor with an internal propulsion mechanism is considered. The motor is a Brownian particle which is semi-transparent for molecules of surrounding ideal gas. Molecular passage through the…

Statistical Mechanics · Physics 2015-06-15 A. V. Plyukhin

The interplay between Coulomb friction and random excitations is studied experimentally by means of a rotating probe in contact with a stationary granular gas. The granular material is independently fluidized by a vertical shaker, acting as…

Soft Condensed Matter · Physics 2013-04-26 A. Gnoli , A. Puglisi , H. Touchette

We consider electron transport in ferromagnets or antiferromagnets sandwiched between metals. When spins in the magnetic materials precess, they emit currents into the surrounding conductors. Generally, adiabatic pumping in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Arne Brataas

The optimal power performance of a first principle quantum heat engine model shows friction-like phenomena when the internal fluid Hamiltonian does not commute with the external control field. The model is based on interacting…

Chemical Physics · Physics 2009-11-07 Ronnie Kosloff , Tova Feldmann