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We study stochastic thermodynamics of a Brownian particle which is subjected to a temperature gradient and is confined by an external potential. We first formulate an over-damped Ito-Langevin theory in terms of local temperature, friction…

Statistical Mechanics · Physics 2024-02-22 Mingnan Ding , Jun Wu , Xiangjun Xing

The Brownian motion of a particle in a one-dimensional periodic potential subjected to a uniform external force F is studied. Using the formula for the diffusion coefficient D obtained by other authors and an alternative one derived from…

Statistical Mechanics · Physics 2009-11-11 Kazuo Sasaki , Satoshi Amari

By studying a system of Brownian particles, interacting only through a local social-like force (velocity alignment), we show that self-propulsion is not a necessary feature for the flocking transition to take place as long as underdamped…

Statistical Mechanics · Physics 2015-07-31 Victor Dossetti , Francisco J. Sevilla

Since Albert Einstein's seminal 1905-paper on Brownian motion, the temperature of fluids and gases of known viscosity can be deduced from observations of the fluctuations of small suspended probe particles. We summarize recent…

Soft Condensed Matter · Physics 2019-11-19 Daniel Geiss , Klaus Kroy

In nature, objects which are in thermal contact with each other, usually approach the same temperature, unless a heat source (or sink) cherishes a persistent flow of heat. Accordingly, in a well-isolated apartment flat, most items are at a…

Soft Condensed Matter · Physics 2019-12-04 Suvendu Mandal , Benno Liebchen , Hartmut Löwen

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of…

Statistical Mechanics · Physics 2015-06-25 J. M. Rubi , A. Perez-Madrid

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

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

A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic…

Dynamical Systems · Mathematics 2015-12-15 Anamika Pandey , Steffen Hardt , Axel Klar , Sudarshan Tiwari

In view of the remarkable progress in micro-rheology to monitor the random motion of Brownian particles with size as small as few nanometers, in association that de Broglie matter waves have been experimentally observed for large molecules…

Quantum Physics · Physics 2025-11-18 Nicos Makris

At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and…

Statistical Mechanics · Physics 2021-01-26 Thomas Speck

The algorithm for the DPD fluid, the dynamics of which is conceptually a combination of molecular dynamics, Brownian dynamics and lattice gas automata, is designed for simulating rheological properties of complex fluids on hydrodynamic time…

Statistical Mechanics · Physics 2009-10-30 C. Marsh , G. Backx , M. H. Ernst

We show theoretically how the periodic coupling between an engineered reservoir and a quantum Brownian particle leads to the formation of a dynamical steady state which is characterized by an effective temperature above the temperature of…

Quantum Physics · Physics 2007-05-23 J. Piilo , S. Maniscalco , K. -A. Suominen

Symmetries constrain dynamics. We test this fundamental physical principle, experimentally and by molecular dynamics simulations, for a hot Janus swimmer operating far from thermal equilibrium. Our results establish scalar and vectorial…

Statistical Mechanics · Physics 2016-10-05 Gianmaria Falasco , Richard Pfaller , Andreas P. Bregulla , Frank Cichos , Klaus Kroy

We present a numerical scheme for simulating the dynamics of Brownian particles suspended in a fluid. The motion of the particles is tracked by the Langevin equation, whereas the host fluid flow is analyzed by using the lattice Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

We consider the solid or hexatic non-equilibrium phases of an interacting two-dimensional system of Active Brownian Particles at high density and investigate numerically and theoretically the properties of the velocity distribution function…

Statistical Mechanics · Physics 2020-09-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi

The quantum Brownian motion of a single neutral particle with nonzero electric dipole moment placed in a photon gas at fixed temperature and close to a conducting wall is here examined. The interaction of the particle with the photon field…

Quantum Physics · Physics 2023-06-23 G. H. S. Camargo , V. A. De Lorenci , A. L. Ferreira Junior , C. C. H. Ribeiro

We present a theoretical analysis of a non-equilibrium dynamics in a model system consisting of two particles which move randomly on a plane. The two particles interact via a harmonic potential, experience their own (independent from each…

Statistical Mechanics · Physics 2023-02-16 Victor S Dotsenko , Alberto Imparato , Pascal Viot , Gleb Oshanin

Understanding the statistical behavior of the heat in stochastic systems gives us insight about the thermodynamics of such systems. Using the recently proposed Relativistic Stochastic Thermodynamics, we investigate the statistics of the…

Statistical Mechanics · Physics 2021-10-11 Pedro V. Paraguassú , Welles A. M. Morgado

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is driven by fluctuating forces which stem from active processes in the system, such as self-propulsion or collisions with other active particles.…

Statistical Mechanics · Physics 2019-04-24 Lennart Dabelow , Stefano Bo , Ralf Eichhorn
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