Reply to Note on cond-mat/0510270: Jarzynski equation for adiabatically stretched rotor

TL;DR

This paper clarifies that the Jarzynski relation does not universally hold for all adiabatic processes, providing specific conditions under which it is valid, thus refining the understanding of its applicability.

Contribution

It establishes a necessary and sufficient condition for the validity of the Jarzynski relation during adiabatic parameter switching processes.

Findings

The Jarzynski relation is not always valid for adiabatic processes.

A specific condition determines when the Jarzynski relation holds.

Contradicts recent claims about the universal validity of the relation.

Abstract

Although the analysis in cond-mat/0510270 is correct, this doesn't mean Jarzynski relation holds always for an arbitrary process. There exists a sufficient and necessary condition for Jarzynski relation to hold for an adiabatic parameter switching process. In contradiction to recent assertions, the validity condition of Jarzynski relation for an adiabatic process is not always satisfied.