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We derive explicit forms of Markovian transition probability densities for the velocity space, phase-space and the Smoluchowski configuration-space Brownian motion of a charged particle in a constant magnetic field. By invoking a…

Statistical Mechanics · Physics 2009-10-31 R. Czopnik , P. Garbaczewski

We explore the transport features of a Brownian particle that walks in a periodic ratchet potential that is coupled with a spatially varying temperature background. Since the viscous friction of the medium decreases as the temperature of…

Statistical Mechanics · Physics 2015-07-09 Solomon Fekade Duki , Mesfin Asfaw Taye

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

Statistical Mechanics · Physics 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

We propose to use a correlated noise bath to drive an optically trapped Brownian particle that mimics active biological matter. Thanks to the flexibility and precision of our setup, we are able to control the different parameters that drive…

Soft Condensed Matter · Physics 2022-12-02 Rémi Goerlich , Luís Barbosa Pires , Giovanni Manfredi , Paul-Antoine Hervieux , Cyriaque Genet

The analysis of the wave content inside a perpendicular bow shock indicates that heating of ions is related to the Lower-Hybrid-Drift (LHD) instability, and heating of electrons to the Electron-Cyclotron-Drift (ECD) instability. Both…

Space Physics · Physics 2020-05-19 Krzysztof Stasiewicz

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

General Physics · Physics 2010-09-29 Hans R. Moser

We consider a single Brownian particle in one dimension in a medium at a constant temperature in the underdamped regime. We stochastically reset the position of the Brownian particle to a fixed point in the space with a constant rate $r$…

Statistical Mechanics · Physics 2019-05-22 Deepak Gupta

In this work, we investigate the multimode Brownian oscillators in nonequilibrium scenarios with multiple reservoirs at different temperatures. For this purpose, an algebraic method is proposed. This approach gives the exact time-local…

Statistical Mechanics · Physics 2023-07-12 Xin-Hai Tong , Hong Gong , Yao Wang , Rui-Xue Xu , YiJing Yan

We study the Brownian momentum process, a model of heat conduction, weakly coupled to heat baths. In two different settings of weak coupling to the heat baths, we study the non-equilibrium steady state and its proximity to the local…

Statistical Mechanics · Physics 2015-05-27 Frank Redig , Kiamars Vafayi

A thermal analogue of the classical brachistochrone problem, which minimizes the connection time between two equilibrium states of harmonically confined Brownian particles, has recently been solved theoretically. Here we report its…

When a physical system evolves in a thermal bath at a constant temperature, it arrives eventually to an equilibrium state whose properties are independent of the kinetic parameters and of the precise evolution scenario. This is generically…

Statistical Mechanics · Physics 2023-06-21 Alessio Squarcini , Alexandre Solon , Pascal Viot , Gleb Oshanin

In this article we explore the dynamics of a Brownian particle in a feedback-free dynamic thermophoretic trap. The trap contains a focused laser beam heating a circular gold structure locally and creating a repulsive thermal potential for a…

Soft Condensed Matter · Physics 2017-09-13 Marco Braun , Alois Würger , Frank Cichos

In a spatially periodic temperature profile, directed transport of an overdamped Brownian particle can be induced along a periodic potential. With a load force applied to the particle, this setup can perform as a heat engine. For a given…

Statistical Mechanics · Physics 2009-04-02 Florian Berger , Tim Schmiedl , Udo Seifert

We consider a model of a two-dimensional molecular machine - called Brownian gyrator - that consists of two coordinates coupled to each other and to separate heat baths at temperatures respectively $T_x$ and $T_y$. We consider the limit in…

Statistical Mechanics · Physics 2020-11-09 Sara Cerasoli , Victor Dotsenko , Gleb Oshanin , Lamberto Rondoni

A system of N Brownian particles suspended in a nonuniform heat bath is treated as a thermodynamic system whith internal degrees of freedom, in this case their velocities and coordinates. Applying the scheme of non-equilibrium…

Condensed Matter · Physics 2016-08-15 J. M. Rubí , P. Mazur

We study stochastic thermodynamics of over-damped Brownian motion in a flowing fluid. Unlike some previous works, we treat the effects of the flow field as a non-conservational driving force acting on the Brownian particle. This allows us…

Statistical Mechanics · Physics 2024-04-23 Jun Wu , Mingnan Ding , Xiangjun Xing

We study the dynamics of an overdamped Brownian particle in a thermal bath that contains a dilute solution of active particles. The particle moves in a harmonic potential and experiences Poisson shot-noise kicks with specified amplitude…

Statistical Mechanics · Physics 2024-07-18 Costantino Di Bello , Rita Majumdar , Rahul Marathe , Ralf Metzler , Edgar Roldan

A colloidal particle confined in a time-dependent optical trap can function as a microscopic heat engine, with optimization strategies playing a crucial role in enhancing its performance. In this study, we numerically investigate a Stirling…

Statistical Mechanics · Physics 2025-09-22 Amrutayani Panda , Biswajit Das , Shuvojit Paul , Arnab Saha , Ayan Banerjee

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

Statistical Mechanics · Physics 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass

This paper is concerned with the stochastic thermodynamics of non-equilibrium Gaussian processes that can exhibit anomalous diffusion. In the systems considered, the noise correlation function is not necessarily related to friction. Thus,…

Statistical Mechanics · Physics 2022-12-20 S. Mohsen J. Khadem , Rainer Klages , Sabine H. L. Klapp