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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/23714

Title: On the Generalised Langevin Equation for a Rouse Bead in an Nonequilibrium Bath
Authors: Vandebroek, Hans
Vanderzande, Carlo
Issue Date: 2017
Citation: JOURNAL OF STATISTICAL PHYSICS, 167(1), p. 14-28
Abstract: We present the reduced dynamics of a bead in a Rouse chain which is submerged in a bath containing a driving agent that renders it out-of-equilibrium. We first review the generalized Langevin equation of the middle bead in an equilibrated bath. Thereafter, we introduce two driving forces. Firstly, we add a constant force that is applied to the first bead of the chain. We investigate how the generalized Langevin equation changes due to this perturbation for which the system evolves towards a steady state after some time. Secondly, we consider the case of stochastic active forces which will drive the system to a nonequilibrium state. Includ- ing these active forces results in an extra contribution to the second fluctuation–dissipation relation. The form of this active contribution is analysed for the specific case of Gaussian, exponentially correlated active forces. We also discuss the resulting rich dynamics of the middle bead in which various regimes of normal diffusion, subdiffusion and superdiffusion can be present.
Notes: The final publication is available at https://link.springer.com/article/10.1007%2Fs10955-017-1734-x
URI: http://hdl.handle.net/1942/23714
DOI: 10.1007/s10955-017-1734-x
ISI #: 000396055600002
ISSN: 0022-4715
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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