Chaudhuri, J. Ray; Barik, D.; Banik, S. K. Directed motion generated by heat bath nonlinearly driven by external noise. (English) Zbl 1130.82033 J. Phys. A, Math. Theor. 40, No. 49, 14715-14723 (2007). 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. Reviewer: Claudia-Veronika Meister (Potsdam) Cited in 3 Documents MSC: 82C70 Transport processes in time-dependent statistical mechanics 82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics Keywords:theory of open systems; non-equilibrium thermodynamics; stochastic forces; heat bath system approach; Fokker-Planck-Smoluchowski equation PDFBibTeX XMLCite \textit{J. R. Chaudhuri} et al., J. Phys. A, Math. Theor. 40, No. 49, 14715--14723 (2007; Zbl 1130.82033) Full Text: DOI arXiv