Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-05-13
J. Math. Phys. 49, 063302 (2008)
Physics
Condensed Matter
Soft Condensed Matter
10 pages, RevTex4, references updated, final version to appear in Journal of Mathematical Physics
Scientific paper
10.1063/1.2942416
Based on a microscopic system reservoir model,where the associated bath is not in thermal equilibrium, we simulate the nonstationary Langevin dynamics and obtained the generalized nonstationary fluctuation dissipation relation (FDR) which asymptotically reduces to the traditional form. Our Langevin dynamics incorporates non-Markovian process also, the origin of which lies on the decaying term of the nonstationary FDR. We then follow the stochastic dynamics of the Langevin particle based on the Fokker-Planck-Smoluchowski description, in ratchet potential to obtain the steady and time dependent current in an analytic form. We also examine the influence of initial excitation and subsequent relaxation of bath modes on the transport of the Langevin particle to show that the nonequilibrium nature of the bath leads to both strong non-exponential dynamics as well as nonstationary current.
Banik Suman Kumar
Bhattacharya Satyabrata
Chattopadhyay Sudip
Chaudhuri Jyotipratim Ray
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