Recently the Jarzynski equation have been under many investigations. In this equation a relation between the average exponential of the work done on a system under non-equilibrium condition and equilibrium free energy differences is established. In different papers the equation has already been extended to different conditions. In this paper we will extend it to a situation that a system is driven away from equilibrium by work performed on it but with a non-constant temperature. Then this generalized equation will be applied to one-dimensional classical and quantum harmonic oscillators.
Zare, S., Ebadi, Z. & Mirza, B. (2019). Generalization of the Jarzynski equation for a system with variable temperature. Iranian Journal of Physics Research, 9(2), 149-155.
MLA
Zare, S., Ebadi, Z., & Mirza, B. "Generalization of the Jarzynski equation for a system with variable temperature", Iranian Journal of Physics Research, 9, 2, 2019, 149-155.
HARVARD
Zare S., Ebadi Z., Mirza B. (2019). 'Generalization of the Jarzynski equation for a system with variable temperature', Iranian Journal of Physics Research, 9(2), pp. 149-155.
CHICAGO
S. Zare, Z. Ebadi & B. Mirza, "Generalization of the Jarzynski equation for a system with variable temperature," Iranian Journal of Physics Research, 9 2 (2019): 149-155,
VANCOUVER
Zare S., Ebadi Z., Mirza B. Generalization of the Jarzynski equation for a system with variable temperature. Iranian Journal of Physics Research. 2019;9(2):149-155 (In Persian).