Generalized Einstein or Green-Kubo relations for active biomolecular transport

Abstract

For driven Markovian dynamics on a network of (biomolecular) states, the generalized mobilities, i.e., the response of any current to changes in an external parameter, are expressed by an integral over an appropriate current-current correlation function and thus related to the generalized diffusion constants. As only input, a local detailed balance condition is required typically even valid for biomolecular systems operating deep in the non-equilibrium regime.

4 pages

References in corpus (6)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Fluctuations and response of nonequilibrium states
• Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
• Stochastic thermodynamics of chemical reaction networks
• The Einstein relation generalized to non-equilibrium
• Eulerian and Lagrangian pictures of non-equilibrium diffusions

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• Mutual Linearity is a Generic Property of Steady-State Markov Networks
• Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the Chemical Langevin Equation