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We extend the analysis of a thermal Brownian motor reported in Phys. Rev. Lett. 93, 090601 (2004) by C. Van den Broeck, R. Kawai, and P. Meurs to a three-dimensional configuration. We calculate the friction coefficient, diffusion…

统计力学 · 物理学 2008-07-16 M. van den Broek , C. Van den Broeck

We consider a one-dimensional system consisting of two infinite ideal fluids, with equal pressures but different temperatures T_1 and T_2, separated by an adiabatic movable piston whose mass M is much larger than the mass m of the fluid…

统计力学 · 物理学 2015-06-25 Ch. Gruber , J. Piasecki

Recently, a thermal Brownian motor was introduced [Van den Broeck, Kawai and Meurs, Phys. Rev. Lett. (2004)], for which an exact microscopic analysis is possible. The purpose of this paper is to review some further properties of this…

统计力学 · 物理学 2007-05-23 P. Meurs , C. Van den Broeck

A simplified version of a classical problem in thermodynamics -- the adiabatic piston -- is discussed in the framework of kinetic theory. We consider the limit of gases whose relaxation time is extremely fast so that the gases contained on…

混沌动力学 · 物理学 2009-11-11 Massimo Cencini , Luigi Palatella , Simone Pigolotti , Angelo Vulpiani

The controversial problem of an isolated system with an internal adiabatic wall is investigated with the use of a simple microscopic model and the Boltzmann equation. In the case of two infinite volume one-dimensional ideal fluids separated…

统计力学 · 物理学 2015-06-25 J. Piasecki , Ch. Gruber

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…

统计力学 · 物理学 2015-06-23 A. V. Plyukhin

An asymmetric object, undergoing dissipative collisions with surrounding particles, acquires a nonzero average velocity. The latter is calculated analytically by an expansion of the Boltzmann equation and the result is compared with Monte…

统计力学 · 物理学 2007-05-23 B. Cleuren , C. Van den Broeck

We study the two-dimensional motion of a magnetic skyrmion driven by a ratchetlike polarized electric current that is periodic in both space and time. Some general cases are considered, in each of which,in the low temperature and adiabatic…

介观与纳米尺度物理 · 物理学 2023-06-07 Shan-Chang Tang , Yu Shi

In this paper we revisit the problem of Brownian motion in a tilted periodic potential. We use homogenization theory to derive general formulas for the effective velocity and the effective diffusion tensor that are valid for arbitrary…

数学物理 · 物理学 2015-06-11 J. C. Latorre , G. A. Pavliotis , P. R. Kramer

We study a genuine Brownian motor by hard disk molecular dynamics and calculate analytically its properties, including its drift speed and thermal conductivity, from microscopic theory.

统计力学 · 物理学 2007-05-23 C. Van den Broeck , R. Kawai , P. Meurs

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

统计力学 · 物理学 2009-11-13 R. Dean Astumian

We consider the motion of an active Brownian particle with speed fluctuations in d-dimensions in the presence of both translational and orientational diffusion. We use an Ornstein-Uhlenbeck process for active speed generation. Using a…

统计力学 · 物理学 2022-05-02 Amir Shee , Debasish Chaudhuri

We have realized a Brownian motor by using cold atoms in a dissipative optical lattice as a model system. In our experiment the optical potential is spatially symmetric and the time-symmetry of the system is broken by applying appropriate…

统计力学 · 物理学 2009-11-11 P. H. Jones , M. Goonasekera , F. Renzoni

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…

统计力学 · 物理学 2025-11-11 Gustavo A. L. Forão , Fernando S. Filho , Pedro V. Paraguassú

We consider a primary model of ac-driven Brownian motors, i.e., a classical particle placed in a spatial-time periodic potential and coupled to a heat bath. The effects of fluctuations and dissipations are studied by a time-dependent…

统计力学 · 物理学 2009-07-01 S. Denisov , P. Hanggi , J. L. Mateos

By introducing an equivalence between magnetostatics and the equations governing buoyant motion, we derive analytical expressions for the acceleration of isolated density anomalies, a.k.a. thermals. In particular, we investigate buoyant…

大气与海洋物理 · 物理学 2018-10-17 Nathaniel Tarshish , Nadir Jeevanjee , Daniel Lecoanet

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

统计力学 · 物理学 2018-08-01 Deepak Gupta

The relativistic generalization of a free Brownian motion theory is presented. The global characteristics of the relaxation are {\it explicitly} found for the velocity and momentum (stochastic) kinetics. It is shown that the thermal…

凝聚态物理 · 物理学 2016-08-15 Ryszard Zygadło

We present a mathematical theory of dynamical fluctuations for the hard sphere gas in the Boltzmann-Grad limit. We prove that: (1) fluctuations of the empirical measure from the solution of the Boltzmann equation, scaled with the square…

偏微分方程分析 · 数学 2022-08-26 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We consider a massive inelastic piston, whose opposite faces have different coefficients of restitution, moving under the action of an infinitely dilute gas of hard disks maintained at a fixed temperature. The dynamics of the piston is…

统计力学 · 物理学 2008-06-06 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi
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