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Directed motion generated by heat bath nonlinearly driven by external noise

Abstract

Based on the heat bath system approach where the bath is nonlinearly modulated by an external Gaussian random force, we propose a new microscopic model to study directed motion in the overdamped limit for a nonequilibrium open system. Making use of the coupling between the heat bath and the external modulation as a small perturbation, we construct a Langevin equation with multiplicative noise- and space-dependent dissipation and the corresponding Fokker-Planck-Smoluchowski equation in the overdamped limit. We examine the thermodynamic consistency condition and explore 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.
Authors:
Chaudhuri, J Ray; [1]  Barik, D; [2]  Banik, S K [3] 
  1. Department of Physics, Katwa College, Katwa, Burdwan 713 130, West Bengal (India)
  2. Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032 (India)
  3. Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0435 (United States)
Publication Date:
Dec 07, 2007
Product Type:
Journal Article
Resource Relation:
Journal Name: Journal of Physics. A, Mathematical and Theoretical (Online); Journal Volume: 40; Journal Issue: 49; Other Information: PII: S1751-8113(07)52155-4; DOI: 10.1088/1751-8113/40/49/007; Country of input: International Atomic Energy Agency (IAEA)
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFUSION; FOKKER-PLANCK EQUATION; LANGEVIN EQUATION; MODULATION; NONLINEAR PROBLEMS; PERTURBATION THEORY; RANDOMNESS; SPACE DEPENDENCE
OSTI ID:
21005552
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 1751-8121; TRN: GB08P2191028806
Submitting Site:
GBN
Size:
page(s) 14715-14723
Announcement Date:
Apr 21, 2008

Citation Formats

Chaudhuri, J Ray, Barik, D, and Banik, S K. Directed motion generated by heat bath nonlinearly driven by external noise. United Kingdom: N. p., 2007. Web. doi:10.1088/1751-8113/40/49/007; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Chaudhuri, J Ray, Barik, D, & Banik, S K. Directed motion generated by heat bath nonlinearly driven by external noise. United Kingdom. https://doi.org/10.1088/1751-8113/40/49/007; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)
Chaudhuri, J Ray, Barik, D, and Banik, S K. 2007. "Directed motion generated by heat bath nonlinearly driven by external noise." United Kingdom. https://doi.org/10.1088/1751-8113/40/49/007; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@misc{etde_21005552,
title = {Directed motion generated by heat bath nonlinearly driven by external noise}
author = {Chaudhuri, J Ray, Barik, D, and Banik, S K}
abstractNote = {Based on the heat bath system approach where the bath is nonlinearly modulated by an external Gaussian random force, we propose a new microscopic model to study directed motion in the overdamped limit for a nonequilibrium open system. Making use of the coupling between the heat bath and the external modulation as a small perturbation, we construct a Langevin equation with multiplicative noise- and space-dependent dissipation and the corresponding Fokker-Planck-Smoluchowski equation in the overdamped limit. We examine the thermodynamic consistency condition and explore 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.}
doi = {10.1088/1751-8113/40/49/007; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)}
journal = []
issue = {49}
volume = {40}
place = {United Kingdom}
year = {2007}
month = {Dec}
}