Decomposing the Local Arrow of Time in Interacting Systems

Decomposing the Local Arrow of Time in Interacting Systems

We show that the evidence for a local arrow of time, which is equivalent to the entropy production in thermodynamic systems, can be decomposed. In a system with many degrees of freedom, there is a term that arises from the irreversible dynamics of the individual variables, and then a series of non-n...

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Veröffentlicht in:Physical review letters 2022-09, Vol.129 (11), p.118101-118101, Article 118101
Hauptverfasser: Lynn, Christopher W, Holmes, Caroline M, Bialek, William, Schwab, David J
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Entropy
Neurons - physiology
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container_issue 11
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container_title Physical review letters
container_volume 129
creator Lynn, Christopher W
Holmes, Caroline M
Bialek, William
Schwab, David J
description We show that the evidence for a local arrow of time, which is equivalent to the entropy production in thermodynamic systems, can be decomposed. In a system with many degrees of freedom, there is a term that arises from the irreversible dynamics of the individual variables, and then a series of non-negative terms contributed by correlations among pairs, triplets, and higher-order combinations of variables. We illustrate this decomposition on simple models of noisy logical computations, and then apply it to the analysis of patterns of neural activity in the retina as it responds to complex dynamic visual scenes. We find that neural activity breaks detailed balance even when the visual inputs do not, and that this irreversibility arises primarily from interactions between pairs of neurons.
doi_str_mv 10.1103/PhysRevLett.129.118101
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subjects Entropy
Neurons - physiology
title Decomposing the Local Arrow of Time in Interacting Systems
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