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The Effects of Memory on Linear Response and Entropy Production

  • Dario VillamainaEmail author
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

In this chapter the Langevin equation with memory is analyzed in both equilibrium and non equilibrium setups. Non-Markovian equation can be mapped in a Markovian one by increasing enough the number of degrees of freedom. This procedure is not just a simple mathematical trick, on the contrary the relative coupling between different variables is relevant for the correct prediction of the response. Moreover such a coupling is proportional to the entropy production rate. By concluding, we show how the mapping from Markovian to non-Markovian dynamics is equivalent to a projection operation and it carries a loss of information that can be detected by entropy production.

Keywords

Entropy Production Auxiliary Variable Langevin Equation Detailed Balance Path Probability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.LPTMSUniversité Paris Sud and CNRSOrsay CedexFrance

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