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Generalized Jarzynski’s Equality of Inhomogeneous Multidimensional Diffusion Processes

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Abstract

Applying the well-known Feynman-Kac formula of inhomogeneous case, an interesting and rigorous mathematical proof of generalized Jarzynski’s equality of inhomogeneous multidimensional diffusion processes is presented, followed by an extension of the second law of thermodynamics. Then, we explain its physical meaning and applications, extending Hummer and Szabo’s work (Proc. Natl. Acad. Sci. USA 98(7):3658–3661, [2001]) and Hatano-Sasa equality of steady state thermodynamics (Phys. Rev. Lett. 86:3463–3466, [2001]) to the general multidimensional case.

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  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, People’s Republic of China

    Hao Ge & Da-Quan Jiang

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  1. Hao Ge
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  2. Da-Quan Jiang
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Correspondence to Hao Ge.

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Ge, H., Jiang, DQ. Generalized Jarzynski’s Equality of Inhomogeneous Multidimensional Diffusion Processes. J Stat Phys 131, 675–689 (2008). https://doi.org/10.1007/s10955-008-9520-4

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