Corrections to Einstein's relation for Brownian motion in a tilted periodic potential

DOI10.1007/s10955-013-0692-1zbMath1268.82025arXiv1208.2150OpenAlexW3105127227MaRDI QIDQ1946816

Grigorios A. Pavliotis, Peter R. Kramer, Juan C. Latorre

Publication date: 9 April 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2150

zbMATH Keywords

homogenization theorylinear response theoryEinstein's relationspectral methods for PDEs

Mathematics Subject Classification ID

Related Items (10)

Einstein relation for electrons in an electric field ⋮ Mass transport in Fokker–Planck equations with tilted periodic potential ⋮ Error analysis of modified Langevin dynamics ⋮ Spectral methods for Langevin dynamics and associated error estimates ⋮ The long time behavior of Brownian motion in tilted periodic potentials ⋮ Numerical methods for computing effective transport properties of flashing Brownian motors ⋮ Convergence rates for nonequilibrium Langevin dynamics ⋮ Numerical computations of geometric ergodicity for stochastic dynamics ⋮ Spectral Methods for Multiscale Stochastic Differential Equations ⋮ Langevin dynamics with space-time periodic nonequilibrium forcing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Einstein's relation between diffusion constant and mobility for a diffusion model
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• A multiscale approach to Brownian motors
• Asymptotic velocity of one dimensional diffusions with periodic drift
• The Fokker-Planck equation. Methods of solution and applications.
• Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.
• The Einstein relation for the displacement of a test particle in a random environment
• Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
• On mobility and Einstein relation for tracers in time-mixing random environments
• Periodic homogenization for inertial particles
• Periodic homogenization for hypoelliptic diffusions
• Nonequilibrium Shear Viscosity Computations with Langevin Dynamics
• The modified Sutherland–Einstein relation for diffusive non-equilibria
• Combined Hermite spectral-finite difference method for the Fokker-Planck equation
• Constructive role of noise: Fast fluctuation asymptotics of transport in stochastic ratchets
• Multiscale Methods
• Irreversibility in Heisenberg Spin Systems. II. Approximate Solution of the High-Temperature Kinetic Equations

This page was built for publication: Corrections to Einstein's relation for Brownian motion in a tilted periodic potential