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10.1103-PhysRevE.105.044113 |
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220510s2022 CNT 000 0 und d |
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|a 24700045 (ISSN)
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|a Operationally accessible uncertainty relations for thermodynamically consistent semi-Markov processes
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|b American Physical Society
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1103/PhysRevE.105.044113
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|a Semi-Markov processes generalize Markov processes by adding temporal memory effects as expressed by a semi-Markov kernel. We recall the path weight for a semi-Markov trajectory and the fact that thermodynamic consistency in equilibrium imposes a crucial condition called direction-time independence for which we present an alternative derivation. We prove a thermodynamic uncertainty relation that formally resembles the one for a discrete-time Markov process. The result relates the entropy production of the semi-Markov process to mean and variance of steady-state currents. We prove a further thermodynamic uncertainty relation valid for semi-Markov descriptions of coarse-grained Markov processes that emerge by grouping states together. A violation of this inequality can be used as an inference tool to conclude that a given semi-Markov process cannot result from coarse graining an underlying Markov one. We illustrate these results with representative examples. © 2022 American Physical Society.
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|a Condition
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|a Discrete time markov process
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|a Entropy
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|a Entropy production
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|a Markov kernels
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|a Markov processes
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|a Memory effects
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|a Semi markov process
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|a Semi-Markov
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|a Temporal memory
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|a Thermodynamic consistency
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|a Uncertainty relation
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|a Ertel, B.
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|a Seifert, U.
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|a Van Der Meer, J.
|e author
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|t Physical Review E
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