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We introduce the idea of {\it collisional models} for Brownian particles, in which a particle is sequentially placed in contact with distinct thermal environments and external forces. Thermodynamic properties are exactly obtained,…

Statistical Mechanics · Physics 2020-10-07 Angel L. L. Stable , Carlos E. F. Noa , William G. C. Oropesa , C. E. Fiore

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

We investigate the motility of a growing population of cells in a idealized setting: we consider a system of hard disks in which new particles are added according to prescribed growth kinetics, thereby dynamically changing the number…

Statistical Mechanics · Physics 2022-03-25 Nathaniel V. Mon Père , Pierre de Buyl , Sophie de Buyl

In this short communication we present an original way to couple the Brownian motion and the heat equation. More in general, we suggest a way for coupling the Langevin equation for a particle, which describes a single realization of its…

Numerical Analysis · Mathematics 2016-06-17 Emiliano Cristiani

Examples of self propulsion in strongly fluctuating environment is abound in nature, e.g., molecular motors and pumps operating in living cells. Starting from Langevin equation of motion, we develop a fluctuating thermodynamic description…

Statistical Mechanics · Physics 2015-02-20 Chandrima Ganguly , Debasish Chaudhuri

In systems possessing a spatial or dynamical symmetry breaking thermal Brownian motion combined with unbiased, non-equilibrium noise gives rise to a channelling of chance that can be used to exercise control over systems at the micro- and…

Statistical Mechanics · Physics 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

In this paper we present a dynamical system to generate Brownian motion based on the Langevin equation without stochastic term and using fractional derivatives, i.e., a deterministic Brownian motion model is proposed. The stochastic process…

Chaotic Dynamics · Physics 2018-05-09 H. E. Gilardi-Velázquez , E. Campos-Cantón

Brownian particles placed sequentially in contact with distinct thermal reservoirs and subjected to external driving forces are promising candidates for the construction of reliable thermal engines. In this contribution, we address the role…

Statistical Mechanics · Physics 2022-06-14 Fernando S. Filho , Bruno A. N. Akasaki , Carlos E. Fernadéz Noa , Bart Cleuren , Carlos E. Fiore

A nonequilibrium fluctuation theorem is established for a colloidal particle driven by an external force within the hydrodynamic theory of Brownian motion, describing hydrodynamic memory effects such as the t^(-3/2) power-law decay of the…

Statistical Mechanics · Physics 2020-06-24 Pierre Gaspard

We introduce an alternative route for obtaining reliable cyclic engines, based on interacting Brownian particles under time-periodic drivings. General expressions for the thermodynamic fluxes, such as power and heat, are obtained using the…

Statistical Mechanics · Physics 2022-02-16 Iago N. Mamede , Pedro E. Harunari , Bruno A. N. Akasaki , Karel Proesmans , Carlos E. Fiore

The Brownian motion of a particle immersed in a medium of charged particles is considered when the system is placed in magnetic or electric fields. Coming from the Zwanzig-Caldeira-Legget particle-bath model, we modify it so that not only…

Statistical Mechanics · Physics 2020-09-24 Vladimir Lisy , Jana Tothova

We study fluctuations of entropy production for a charged Brownian particle confined in a harmonic trap and driven out of equilibrium by crossed electric and magnetic fields. The magnetic field is constant and perpendicular to the plane of…

Statistical Mechanics · Physics 2025-12-19 L. C. González-Morales , I. Pérez Castillo , J. I. Jiménez-Aquino

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Aim of this note is to analyse branching Brownian motion within the class of models introduced in the recent paper [4] and called chemical diffusion master equations. These models provide a description for the probabilistic evolution of…

Probability · Mathematics 2024-01-23 Alberto Lanconelli , Berk Tan Perçin

We present a swarm model of Brownian particles with harmonic interactions, where the individuals undergo canonical active Brownian motion, i.e. each Brownian particle can convert internal energy to mechanical energy of motion. We assume the…

Statistical Mechanics · Physics 2011-08-11 Alexander Gluck , Helmuth Huffel , Sasa Ilijic

Stochastic models of varying complexity have been proposed to describe the dispersion of particles in turbulent flows, from simple Brownian motion to complex temporally and spatially correlated models. A method is needed to compare…

Fluid Dynamics · Physics 2022-07-13 Martin T. Brolly , James R. Maddison , Aretha L. Teckentrup , Jacques Vanneste

Magnetic nanoparticles are useful in many medical applications because they interact with biology on a cellular level thus allowing microenvironmental investigation. An enhanced understanding of the dynamics of magnetic particles may lead…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Daniel B Reeves , John B Weaver

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

Quantum Physics · Physics 2011-07-05 D. M. Valente , A. O. Caldeira

We investigate a novel type of Langevin model that describes the nonequilibrium dynamics of a classical particle interacting with a spatially extended environment. In this model, a particle, which interacts with the environment through the…

Statistical Mechanics · Physics 2015-10-20 Taiki Haga

We have presented a simple approach to quantum theory of Brownian motion and barrier crossing dynamics. Based on an initial coherent state representation of bath oscillators and an equilibrium canonical distribution of quantum mechanical…

Quantum Physics · Physics 2009-11-07 Dhruba Banerjee , Bidhan Chandra Bag , Suman Kumar Banik , Deb Shankar Ray
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