×

Directed motion generated by heat bath nonlinearly driven by external noise. (English) Zbl 1130.82033

Based on the heat bath system approach where the bath (consisting of mass-weighted harmonic oscillators) is nonlinearly modulated by an external Gaussian random force and the coupling between the heat bath and the physical system is nonlinear, a new microscopic model is proposed to study directly the motion in the overdamped limit for a non-equilibrium open system. Making use of the coupling between the heat bath and the external modulation as a small perturbation, there are constructed a Langevin equation with multiplicative noise and space-dependent dissipation and the corresponding Fokker-Planck-Smoluchowski equation in the overdamped limit. The thermodynamic consistency condition is examined, and the possibility of observing a phase-induced current as a consequence of state-dependent diffusion and, necessarily, nonlinear driving of the heat bath by the external noise, is explored.

MSC:

82C70 Transport processes in time-dependent statistical mechanics
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
PDFBibTeX XMLCite
Full Text: DOI arXiv