Work statistics in slow thermodynamic processes

We apply the adiabatic approximation to slow thermodynamic processes and obtain the full counting statistics of work. We identify the change in free energy and the dissipated work as dynamic-phase-like and geometric-phase-like quantities. The dynamic phase and geometric phase are directly related to each other via the fluctuation-dissipation relation.

Automated summary

In this paper, we utilize the adiabatic approximation to study slow thermodynamic processes and derive the full counting statistics of work. We characterize the change in free energy and the dissipated work as dynamic-phase-like and geometric-phase-like quantities. The dynamic phase and geometric phase are linked to each other through the fluctuation-dissipation relation.