Entropy production hierarchy under Markovian embedding of generalized Langevin dynamics enables non-Markovian extensions of key thermodynamic trade-off relations, with memory allowing finite currents at near-zero dissipation in structured underdamped baths.
Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Reports on progress in physics75, 126001 (2012)
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Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.
In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.
An exact identity shows entropy production rate equals four times mutual information rate between displacement and time midpoint plus mean flow term in overdamped Langevin dynamics, enabling nonnegative decomposition of subsystem entropy production.
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Entropy production hierarchy under Markovian embedding of generalized Langevin dynamics enables non-Markovian extensions of key thermodynamic trade-off relations, with memory allowing finite currents at near-zero dissipation in structured underdamped baths.
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In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.
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An exact identity shows entropy production rate equals four times mutual information rate between displacement and time midpoint plus mean flow term in overdamped Langevin dynamics, enabling nonnegative decomposition of subsystem entropy production.
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