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Stochastic Energetics for Langevin Dynamics

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Statistical Mechanics for Athermal Fluctuation

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Abstract

Stochastic energetics is reviewed for the Langevin equation. We first review experimental setups for small thermodynamic systems and define thermodynamics quantities, such as heat and work, on the level of a single trajectory utilizing the Gaussian stochastic calculus. We also review the second law of stochastic thermodynamics in terms of non-equilibrium inequalities.

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Notes

  1. 1.

    Direct observation of such inertia has been reported just recently for gaseous and liquid systems [9,10,11].

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Correspondence to Kiyoshi Kanazawa .

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Kanazawa, K. (2017). Stochastic Energetics for Langevin Dynamics. In: Statistical Mechanics for Athermal Fluctuation. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-6332-9_6

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  • DOI: https://doi.org/10.1007/978-981-10-6332-9_6

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  • Print ISBN: 978-981-10-6330-5

  • Online ISBN: 978-981-10-6332-9

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