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DY: Fachverband Dynamik und Statistische Physik

DY 40: Poster - Quantum Systems/ Stat. Phys./ Diffusive Process

DY 40.17: Poster

Thursday, April 3, 2014, 17:00–19:00, P3

Rate of Mutual Information Between Coarse-Grained Non-Markovian Variables — •David Hartich, Andre C. Barato, and Udo Seifert — II. Institut für Theoretische Physik, Universität Stuttgart, Germany

Mutual information, a central quantity in information theory, quantifies correlations between two random variables. We focus on bipartite systems with two coarse-grained processes that together specify a continuous time Markov process. In this case no analytical formula for the rate of mutual information is known. However, we calculate an upper bound on the rate of mutual information that becomes exact in some special cases with time scale separation. Additionally, we develop a numerical method to calculate the rate of mutual information in continuous time. We illustrate our main results with simple four state models, which provide insight into the relation between the rate of mutual information and the thermodynamic entropy production.

[1] A. C. Barato, D. Hartich, and U. Seifert, J. Stat. Phys. 153, 460 (2013)

[2] A. C. Barato, D. Hartich, and U. Seifert, Phys. Rev. E 87, 042104 (2013)