Response to “Comment on ‘On the Crooks fluctuation theorem and the Jaraynski equality’ and ‘Nonequilibrium fluctuation dissipation theorem of Brownian dynamics’ [J. Chem. Phys. 130, 107101 (2009)

Abstract

Contrary to what Crooks asserts, the self-consistency requirement put forward in J. Chem. Phys.129, 091101 (2008) is necessary for the Jarzynski equality (JE) and the Crooks fluctuation theorem (CFT) to be valid regardless which definition of work one uses, the force-displacement definition or the thermodynamic definition. The self-consistency check limits the applicability of the JE/CFT to linear systems and reversible processes in nonlinear systems. The fluctuation-dissipation theorem of J. Chem. Phys.129, 144113 (2008) is valid where the JE/CFT is applicable and where the JE/CFT is inapplicable.