The Entropy Production Distribution in Non-Markovian Thermal Baths

作者：Ines Jimenez Aquino Jose; Maria Velasco Rosa

来源：Entropy, 2014, 16(4): 1917-1930.

DOI：10.3390/e16041917

• fluctuation relations
• generalized Langevin equation
• total entropy production
• transition probability density

In this work we study the distribution function for the total entropy production of a Brownian particle embedded in a non-Markovian thermal bath. The problem is studied in the overdamped approximation of the generalized Langevin equation, which accounts for a friction memory kernel characteristic of a Gaussian colored noise. The problem is studied in two physical situations: (i) when the particle in the harmonic trap is subjected to an arbitrary time-dependent driving force; and (ii) when the minimum of the harmonic trap is arbitrarily dragged out of equilibrium by an external force. By assuming a natural non Markovian canonical distribution for the initial conditions, the distribution function for the total entropy production becomes a non Gaussian one. Its characterization is then given through the first three cumulants.

• 出版日期2014-4