The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 9 2 2019 11 26 Generalization of the Jarzynski equation for a system with variable temperature Generalization of the Jarzynski equation for a system with variable temperature 149 155 811 FA S Zare Z Ebadi B Mirza Journal Article 2019 11 26 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. 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. https://ijpr.iut.ac.ir/article_811_670e8a43b246801ca1eaca97b3e19189.pdf