Jarzynski Equality for an Energy-Controlled System (Proceedings of nanoPHYS'11)

Hitoshi Katsuda, Masayuki Ohzeki

Published 2011-03-23Version 1

We extend the Jarzynski equality, which is an exact identity between the equilibrium and nonequilibrium averages, to be useful to compute the value of the entropy difference by changing the Hamiltonian. To derive our result, we introduce artificial dynamics where the instantaneous value of the energy can be arbitrarily controlled during a nonequilibrium process. We establish an exact identity on such a process corresponding to the so-called Jarzynski equality. It is suggested that our formulation is valuable in a practical application as in optimization problems.