Embedding non-Markovian Langevin dynamics into Markovian form with auxiliary variables produces a unique, monotonically increasing Markovian entropy production for the original system.
Brandner, Dynamics of Microscale and Nanoscale Sys- tems in the Weak-Memory Regime, Physical Review Let- ters134, 037101 (2025)
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Markovian thermodynamics of non-Markovian Langevin equations
Embedding non-Markovian Langevin dynamics into Markovian form with auxiliary variables produces a unique, monotonically increasing Markovian entropy production for the original system.