Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Posters I

DY 10.5: Poster

Monday, March 14, 2011, 17:00–19:00, P4

Cycle-Flux Decompositions of Non-Equilibrium Steady States — •Bernhard Altaner, Jürgen Vollmer, Stephan Herminghaus, and Marc Timme — Max Planck Institute for Dynamics and Self-Organization, 37073 Göttingen

It hat been proposed recently [1] that the currents provide a natural classification of non-equilibrium steady states of Markov processes. This approach does not allow, however, to deal with the entropy (or heat) production rate, which is of considerable interest in biological systems [2]. For this type of questions one can rather consider individual fluxes between adjacent nodes, and decompose the steady state in terms of closed flux cycles. We demonstrate the application of this novel approach using a simple biological membrane model.
[1] R.K.P. Zia & B. Schmittmann, J Stat Mech: Theo and Exp 2007 (2007) P07012.
[2] C. Jarzynski, Eur Phys J B 64 (2008) 331-340 [Proceedings of StatPhys23].