State-dependent diffusion in a periodic potential for a nonequilibrium open system
Department of Physics, Katwa College, Katwa, Burdwan 713130, West Bengal, India
2 Indian Association for the Cultivation of Science, Jadavpur, Kolkata, 700032, India
Revised: 25 March 2008
Published online: 6 June 2008
The state dependent diffusion concerns with the Brownian motion of a particle in inhomogeneous media. Based on a system reservoir nonlinear coupling model, when the bath is modulated by an external Gaussian random noise with arbitrary decaying correlation time, we present a microscopic approach to state dependent diffusion and multiplicative noise for an open nonequilibrium system in terms of Langevin description and associated Fokker-Planck equation in position space in the overdamped limit. We examine the thermodynamic consistency and explore the possibility of observing a phase induced current as a consequence of state dependent diffusion and finite correlation time of external noise.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.60.-k – Transport processes / 02.50.Ey – Stochastic processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008