title: Merits and qualms of work fluctuations in classical fluctuation theorems.
abstract: Work is one of the most basic notions in statistical mechanics, with work fluctuation theorems being one central topic in nanoscale thermodynamics. With Hamiltonian chaos commonly thought to provide a foundation for classical statistical mechanics, here we present general salient results regarding how (classical) Hamiltonian chaos generically impacts on nonequilibrium work fluctuations. For isolated chaotic systems prepared with a microcanonical distribution, work fluctuations are minimized and vanish altogether in adiabatic work protocols. For isolated chaotic systems prepared at an initial canonical distribution at inverse temperature β, work fluctuations depicted by the variance of e^{-βW} are also minimized by adiabatic work protocols. This general result indicates that, if the variance of e^{-βW} diverges for an adiabatic work protocol, it diverges for all nonadiabatic work protocols sharing the same initial and final Hamiltonians. Such divergence is hence not an isolated event and thus greatly impacts on the efficiency of using Jarzynski's equality to simulate free-energy differences. Theoretical results are illustrated in a Sinai model. Our general insights shall boost studies in nanoscale thermodynamics and are of fundamental importance in designing useful work protocols.
authors.affiliation: NUS Graduate School for Integrative Science and Engineering, Singapore 117597.
authors.forename: Jiawen
authors.initials: J
authors.lastname: Deng
authors.affiliation: Department of Physics, National University of Singapore, Singapore 117546.
authors.forename: Alvis Mazon
authors.initials: AM
authors.lastname: Tan
authors.affiliation: Department of Physics, National University of Singapore, Singapore 117546.|Institute of Physics, University of Augsburg, Universitätsstraße 1, D-86135 Augsburg, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Hänggi
authors.affiliation: NUS Graduate School for Integrative Science and Engineering, Singapore 117597.|Department of Physics, National University of Singapore, Singapore 117546.
authors.forename: Jiangbin
authors.initials: J
authors.lastname: Gong