Titlebook: An Introduction to Stochastic Thermodynamics; From Basic to Advanc Naoto Shiraishi Book 2023 Springer Nature Singapore Pte Ltd. 2023 Founda

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Stochastic ProcessesIn this chapter, we introduce a mathematical framework, stochastic processes, which is used to describe small stochastic systems.

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Reduction from Fluctuation Theorem to Other Thermodynamic RelationsThe fluctuation theorem contains almost all general relations in thermodynamics and nonequilibrium statistical mechanics, including the second law of thermodynamics and the fluctuation-dissipation theorem, as its corollary.

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Response Relation Around Nonequilibrium Steady StateThe response function, exhibiting how the system changes by external perturbations, is one of the most important functions characterizing materials.

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Some Results on?One-Dimensional Overdamped Langevin SystemsIn previous chapters, we have mainly considered Markov processes on discrete states.

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