Extended Fluctuation Theorems for Repeated Measurements and Feedback within Hamiltonian Framework

Abstract

We derive the extended fluctuation theorems in presence of multiple measurements and feedback, when the system is governed by Hamiltonian dynamics. We use only the forward phase space trajectories in the derivation. However, to obtain an expression for the efficacy parameter, we must necessarily use the notion of reverse trajectory. Our results show that the correction term appearing in the exponent of the extended fluctuation theorems are non-unique, whereas the physical meaning of the efficacy parameter is unique.

References in corpus (4)

• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Derivation of the not-so-common fluctuation theorems
• Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
• Fluctuation theorems for excess and housekeeping heats for underdamped systems

Cited by in corpus (1)

• Dissipation reduction and information-to-measurement conversion in DNA pulling experiments with feedback protocols