Titlebook: Irreversibility and Dissipation in Microscopic Systems; Édgar Roldán Book 2014 Springer International Publishing Switzerland 2014 Brownian

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Dissipation and Kullback–Leibler DivergenceIn this chapter, we introduce the theoretical framework of the first part of our work, in which we study of the relationship between dissipation and irreversibility quantitatively in microscopic systems in the stationary state.

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Estimating the Kullback–Leibler DivergenceWe now investigate how the KLD rate can be estimated from a single empirical stationary trajectory, obtained from a stochastic stationary process whose dynamics is unknown. We assume that the empirical stationary trajectory contains . data of one or several random variables denoted by the letter ..

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Conclusions and OutlookIn this thesis, we have studied the relationship between irreversibility and dissipation for microscopic systems that reach a nonequilibrium steady state (NESS), in the framework of stochastic thermodynamics.

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Book 2014tanding problem, namely the connection between irreversibility and dissipation. He develops a method based on recent results on fluctuation theorems that is able to estimate dissipation using only information acquired in a single, sufficiently long, trajectory of a stationary nonequilibrium process.