Generalized Einstein or Green-Kubo Relations for Active Biomolecular Transport

Seifert, Udo

doi:10.1103/physrevlett.104.138101

Cited by 34 publications

(37 citation statements)

References 19 publications

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“…In [34] it has been pointed out that a violation of the ESR is expected in a Markovian network, however this has not been explicitly demonstrated for a model of interest, neither related to the Sinai anomaly.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium version of the Einstein relation

Hurowitz

Cohen

2014

Phys. Rev. E

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The celebrated Einstein relation between the diffusion coefficient D and the drift velocity v is violated in non-equilibrium circumstances. We analyze how this violation emerges for the simplest example of a Brownian motion on a lattice, taking into account the interplay between the periodicity, the randomness and the asymmetry of the transition rates. Based on the non-equilibrium fluctuation theorem the v/D ratio is found to be a non-linear function of the affinity. Hence it depends in a non-trivial way on the microscopics of the sample.

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Section: Introductionmentioning

confidence: 99%

Nonequilibrium version of the Einstein relation

Hurowitz

Cohen

2014

Phys. Rev. E

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“…However, as pointed out in Ref. [28], in more general networks of chemical reactions, there are additional conditions besides the stalling condition for the Einstein relation to hold. In this model a mechanical perturbation applied to the motor at stalling is thus unable to detect that the system is in a NESS.…”

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confidence: 99%

“…This motivated us to revisit the derivation of the MFDT of Refs. [19,28] with this formalism. As expected, the decomposition of the entropy production leads to an MFDT which is the sum of an equilibrium part and an additive correction.…”

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confidence: 99%

“…-An important step towards an unification of the various formulations of FDT for non-equilibrium systems comes from the realization that the MFDT can be given by a thermodynamic interpretation in terms of trajectory entropy excess [19,22,28]. Recently, a new decomposition of the entropy production has been introduced in Refs.…”

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confidence: 99%

“…By proceeding just as above, one obtains the response functions in Eq. (32), which take the form of modified Green-Kubo relations [28,35] …”

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Modified fluctuation-dissipation theorem for non-equilibrium steady states and applications to molecular motors

Verley

Mallick

Lacoste

2011

EPL

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Abstract. -We present a theoretical framework to understand a modified fluctuation-dissipation theorem valid for systems close to non-equilibrium steady-states and obeying markovian dynamics. We discuss the interpretation of this result in terms of trajectory entropy excess. The framework is illustrated on a simple pedagogical example of a molecular motor. We also derive in this context generalized Green-Kubo relations similar to the ones obtained recently in U. Seifert, Phys. Rev. Lett., 104, 138101 (2010) for more general networks of biomolecular states.Introduction. -The application of linear response theory to systems in thermodynamic equilibrium leads to the fluctuation-dissipation theorem (FDT) [1], which states that the response of an equilibrium system to small external perturbations is determined by correlations at equilibrium. Suppose that a system at thermal equilibrium and governed by the time-independent Hamiltonian H 0 is subject to a time-dependent perturbation −λ(t)O from time t ′ on. Then the mean-value of a dynamic observable A(t) at time t > t ′ over all path trajectories, A(t) path , satisfies at first order in λ:

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