Unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems

Journal Publication ResearchOnline@JCU
Gelin, M.F.;Kosov, D.S.
Daniel Kosov
Abstract

We present a unified and simple method for deriving work theorems for classical and quantum Hamiltonian systems, both under equilibrium conditions and in a steady state. Throughout the paper, we adopt the partitioning of the total Hamiltonian into the system part, the bath part, and their coupling. We rederive many equalities which are available in the literature and obtain a number of new equalities for nonequilibrium classical and quantum systems. Our results can be useful for determining partition functions and (generalized) free energies through simulations or measurements performed on nonequilibrium systems.

Journal

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

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Volume

78

ISBN/ISSN

1550-2376

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Issue

1

Pages Count

9

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Publisher

American Physical Society

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Date

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EISSN

N/A

DOI

10.1103/PhysRevE.78.011116