Irreversibility in non-reciprocal chaotic systems
How is the irreversibility of a high-dimensional chaotic system related to its dynamical behavior? In this paper, we address this question by developing a stochastic-thermodynamics treatment of complex networks that exhibit chaos. Specifically, we establish an exact relation between the averaged ent...
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| Format: | Article |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adae2a |
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| author | Tuan Minh Pham Albert Alonso Karel Proesmans |
| author_facet | Tuan Minh Pham Albert Alonso Karel Proesmans |
| author_sort | Tuan Minh Pham |
| collection | DOAJ |
| description | How is the irreversibility of a high-dimensional chaotic system related to its dynamical behavior? In this paper, we address this question by developing a stochastic-thermodynamics treatment of complex networks that exhibit chaos. Specifically, we establish an exact relation between the averaged entropy production rate—a measure of irreversibility—and the autocorrelation function for an infinite system of neurons coupled via random non-reciprocal interactions. We show how, under given noise strength, the entropy production rate can signal the onset of a transition occurring as the coupling heterogeneity increases beyond a critical value via a change in its functional form upon crossing this point. Furthermore, this transition happens at a fixed, noise-independent entropy production rate, elucidating how robust energetic cost is possibly responsible for optimal information processing at criticality. |
| format | Article |
| id | doaj-art-145aa35665a145cf8a93acf9f1387de7 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-145aa35665a145cf8a93acf9f1387de72025-02-04T12:22:48ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127202300310.1088/1367-2630/adae2aIrreversibility in non-reciprocal chaotic systemsTuan Minh Pham0https://orcid.org/0000-0003-2869-0165Albert Alonso1https://orcid.org/0000-0002-0441-0395Karel Proesmans2https://orcid.org/0000-0001-9051-4205Institute of Physics , University of Amsterdam, Science Park 904, Amsterdam, The Netherlands; Dutch Institute for Emergent Phenomena , 1090 GE Amsterdam, The NetherlandsNiels Bohr Institute , University of Copenhagen, Blegdamsvej 17, Copenhagen 2100-DK, DenmarkNiels Bohr Institute , University of Copenhagen, Blegdamsvej 17, Copenhagen 2100-DK, DenmarkHow is the irreversibility of a high-dimensional chaotic system related to its dynamical behavior? In this paper, we address this question by developing a stochastic-thermodynamics treatment of complex networks that exhibit chaos. Specifically, we establish an exact relation between the averaged entropy production rate—a measure of irreversibility—and the autocorrelation function for an infinite system of neurons coupled via random non-reciprocal interactions. We show how, under given noise strength, the entropy production rate can signal the onset of a transition occurring as the coupling heterogeneity increases beyond a critical value via a change in its functional form upon crossing this point. Furthermore, this transition happens at a fixed, noise-independent entropy production rate, elucidating how robust energetic cost is possibly responsible for optimal information processing at criticality.https://doi.org/10.1088/1367-2630/adae2aentropy production ratenon-reciprocal interactionchaotic dynamicsneural networksdynamical mean field theory |
| spellingShingle | Tuan Minh Pham Albert Alonso Karel Proesmans Irreversibility in non-reciprocal chaotic systems New Journal of Physics entropy production rate non-reciprocal interaction chaotic dynamics neural networks dynamical mean field theory |
| title | Irreversibility in non-reciprocal chaotic systems |
| title_full | Irreversibility in non-reciprocal chaotic systems |
| title_fullStr | Irreversibility in non-reciprocal chaotic systems |
| title_full_unstemmed | Irreversibility in non-reciprocal chaotic systems |
| title_short | Irreversibility in non-reciprocal chaotic systems |
| title_sort | irreversibility in non reciprocal chaotic systems |
| topic | entropy production rate non-reciprocal interaction chaotic dynamics neural networks dynamical mean field theory |
| url | https://doi.org/10.1088/1367-2630/adae2a |
| work_keys_str_mv | AT tuanminhpham irreversibilityinnonreciprocalchaoticsystems AT albertalonso irreversibilityinnonreciprocalchaoticsystems AT karelproesmans irreversibilityinnonreciprocalchaoticsystems |