Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 66: Poster: Stat. Phys. (Gen., Critical Phen., Biol.)

DY 66.3: Poster

Thursday, March 15, 2018, 15:30–18:00, Poster A

Towards a classification of nonequilibrium steady states via invariant manifolds — •Jens Lucht, Prakhar Godara, Marco Giacomo Mazza, and Stephan Herminghaus — Max-Planck-Institut für Dynamik und Selbstorganisation, Göttingen

Nonequilibrium steady states (NESS) give rise to nontrivial cyclic probability fluxes that breach detailed balance (DB), and thus it is not clear how to define a potential analog to equilibrium case. We argue that there is a formal way to define such a NESS potential for systems describable by a Fokker-Planck equation. DB in NESS can be restored [1] by mapping the phase space into a parameterized family of non-intersecting cycles containing the invariant manifolds of the corresponding deterministic, dynamical system. Transition rates between neighboring cycles are obtained from the microscopic dynamics, i.e., from the drift and diffusive currents. Since fluxes between cycles obey DB, we can integrate over the set of cycles. We present some evidence that this gives us a nonequilibrium potential which reaches minimum solely for NESS.

[1]: Phys. Rev. E., 2012, 85, 041133