Stochastic thermodynamics for a small system plus large bath can be derived from time-reversal symmetry and time-scale separation once the system-bath split is chosen so that the bath energy is adiabatically invariant.
Combining the preceding two equations, we find ˜U(U z0)∗ =z ∗ 0.(3.5) Now letAbe a set, e.g
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A Rigorous Foundation for Stochastic Thermodynamics via the Microcanonical Ensemble
Stochastic thermodynamics for a small system plus large bath can be derived from time-reversal symmetry and time-scale separation once the system-bath split is chosen so that the bath energy is adiabatically invariant.