Transient rectification of Brownian diffusion with asymmetric initial distribution

Abstract

In an ensemble of non-interacting Brownian particles, a finite systematic average velocity may temporarily develop, even if it is zero initially. The effect originates from a small nonlinear correction to the dissipative force, causing the equation for the first moment of velocity to couple to moments of higher order. The effect may be relevant when a complex system dissociates in a viscous medium with conservation of momentum.

References in corpus (7)

• Exact microscopic analysis of a thermal Brownian motor
• Stationary Motion of the Adiabatic Piston
• Langevin equation for the extended Rayleigh model with an asymmetric bath
• Langevin Equation for the Rayleigh model with finite-ranged interactions
• On the higher order corrections to the Fokker-Planck equation
• Velocity dependence of friction and Kramers relaxation rates
• Does a Brownian particle equilibrate?

Cited by in corpus (12)

• Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
• Ratchet effect driven by Coulomb friction: the asymmetric Rayleigh piston
• Generalized Fokker-Planck equation, Brownian motion, and ergodicity
• Classical open systems with nonlinear nonlocal dissipation and state-dependent diffusion: Dynamical responses and the Jarzynski equality
• Motion by Stopping: Rectifying Brownian Motion of Non-spherical Particles
• Stochastic resonance in bistable systems with nonlinear dissipation and multiplicative noise: A microscopic approach
• Thermodynamic uncertainty relations in the presence of non-linear friction and memory
• Quasirelativistic Langevin equation
• Intrinsic ratchets: A Hamiltonian approach
• Stochastic dynamics beyond the weak coupling limit: thermalization
• Directed motion and useful work from an isotropic nonequilibrium distribution
• Autonomous Brownian motor driven by nonadiabatic variation of internal parameters