Tsallis statistics generalization of non-equilibrium work relations

Abstract

We use third constraint formulation of Tsallis statistics and derive the $q$-statistics generalization of non-equilibrium work relations such as the Jarzynski equality and the Crooks fluctuation theorem which relate the free energy differences between two equilibrium states and the work distribution of the non-equilibrium processes.

5 pages

References in corpus (9)

• Second law and Landauer principle far from equilibrium
• Comparison of far-from-equilibrium work relations
• Thermostatistics of overdamped motion of interacting particles
• Comparison of work fluctuation relations
• Finite Bath Fluctuation Theorem
• On the robustness of q-expectation values and Renyi entropy
• Questioning the validity of non-extensive thermodynamics for classical Hamiltonian systems
• A generalized fluctuation relation for power-law distributions
• Work relations for a system governed by Tsallis statistics

Cited by in corpus (2)

• Work relations with measurement and feedback control on nonuniform temperature systems
• A first order Tsallis theory