Christian Maes, Simi R. Thomas
We consider the Rouse model for the conformational dynamics of an ideal polymer chain subject to steady driving. The starting point is a (Markovian) Langevin dynamics of $N$ harmonically coupled particles, some of which undergo additional forcing. We compute the effective dynamics for one of the particles by integrating out the rest of the chain. The result is a generalized Langevin dynamics for which we give the memory and noise kernels, and the effective force. We treat shear-driving as well as a transient regime of constant force. These provide natural examples of effective time-evolution starting from nonequilibrium dynamics of bath-degrees of freedom.
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http://arxiv.org/abs/1210.5068
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