Nonequilibrium Linear Response for Markov Dynamics,II: Inertial Dynamics |
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Authors: | Marco Baiesi Eliran Boksenbojm Christian Maes and Bram Wynants |
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Institution: | 1.Dipartimento di Fisica,Università di Padova,Padova,Italy;2.Instituut voor Theoretische Fysica,K. U. Leuven,Leuven,Belgium |
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Abstract: | We continue our study of the linear response of a nonequilibrium system. This Part II concentrates on models of open and driven
inertial dynamics but the structure and the interpretation of the result remain unchanged: the response can be expressed as
a sum of two temporal correlations in the unperturbed system, one entropic, the other frenetic. The decomposition arises from
the (anti)symmetry under time-reversal on the level of the nonequilibrium action. The response formula involves a statistical
averaging over explicitly known observables but, in contrast with the equilibrium situation, they depend on the model dynamics
in terms of an excess in dynamical activity. As an example, the Einstein relation between mobility and diffusion constant
is modified by a correlation term between the position and the momentum of the particle. |
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