title: Nonequilibrium work relation beyond the Boltzmann-Gibbs distribution.
abstract: The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of nonequilibrium thermodynamical equalities as generalization of the Jarzynski equality, the detailed fluctuation theorem and the Hatano-Sasa relation. Our result demonstrates that the Jarzynski equality and the detailed fluctuation theorem remains valid only for systems with the Boltzmann-Gibbs distribution at the equilibrium state, but the Hatano-Sasa relation is robust with respect to different stochastic interpretations of multiplicative noise.
authors.affiliation: Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China and Key Laboratory of Systems Biomedicine Ministry of Education, Shanghai Center for Systems Biomedicine, Shanghai Jiao Tong University, Shanghai 200240, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Tang
authors.affiliation: School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.
authors.forename: Ruoshi
authors.initials: R
authors.lastname: Yuan
authors.affiliation: Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China and Key Laboratory of Systems Biomedicine Ministry of Education, Shanghai Center for Systems Biomedicine, Shanghai Jiao Tong University, Shanghai 200240, China.
authors.forename: Ping
authors.initials: P
authors.lastname: Ao
mesh_terms: D008962:Models, Theoretical; D049329:Nanostructures; D013269:Stochastic Processes; D013816:Thermodynamics