Fluctuation-dissipation relation and stationary distribution of an exactly solvable many-particle model for active biomatter far from equilibrium

The Journal of Chemical Physics
Roland R Netz

Abstract

An exactly solvable, Hamiltonian-based model of many massive particles that are coupled by harmonic potentials and driven by stochastic non-equilibrium forces is introduced. The stationary distribution and the fluctuation-dissipation relation are derived in closed form for the general non-equilibrium case. Deviations from equilibrium are on one hand characterized by the difference of the obtained stationary distribution from the Boltzmann distribution; this is possible because the model derives from a particle Hamiltonian. On the other hand, the difference between the obtained non-equilibrium fluctuation-dissipation relation and the standard equilibrium fluctuation-dissipation theorem allows us to quantify non-equilibrium in an alternative fashion. Both indicators of non-equilibrium behavior, i.e., deviations from the Boltzmann distribution and deviations from the equilibrium fluctuation-dissipation theorem, can be expressed in terms of a single non-equilibrium parameter α that involves the ratio of friction coefficients and random force strengths. The concept of a non-equilibrium effective temperature, which can be defined by the relation between fluctuations and the dissipation, is by comparison with the exactly derived stati...Continue Reading

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Citations

Aug 22, 2020·Soft Matter·Ligesh TheeyancheriRajarshi Chakrabarti
Oct 3, 2019·Physical Review. E·Isamu SouShigeyuki Komura
Apr 16, 2020·Physical Review. E·Michael Wang, Alexander Y Grosberg
Oct 26, 2020·The European Physical Journal. E, Soft Matter·Bernhard G MitterwallnerRoland R Netz

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