Fluctuation theorems for excess and housekeeping heats for underdamped systems

Abstract

We present a simple derivation of the integral fluctuation theorems for excess housekeeping heat for an underdamped Langevin system, without using the concept of dual dynamics. In conformity with the earlier results, we find that the fluctuation theorem for housekeeping heat holds when the steady state distributions are symmetric in velocity, whereas there is no such requirement for the excess heat. We first prove the integral fluctuation theorem for the excess heat, and then show that it naturally leads to the integral fluctuation theorem for housekeeping heat. We also derive the modified detailed fluctuation theorems for the excess and housekeeping heats.

10 pages. Section 3 contains further generalizations

References in corpus (5)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Path-integral analysis of fluctuation theorems for general Langevin processes
• Integral fluctuation theorem for the housekeeping heat
• Fluctuation theorems in driven open quantum systems
• Fluctuation Relation for Heat

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