{"id":4361,"date":"2023-08-23T14:19:00","date_gmt":"2023-08-23T05:19:00","guid":{"rendered":"https:\/\/www.phys.s.u-tokyo.ac.jp\/en\/?p=4361"},"modified":"2023-09-14T14:24:58","modified_gmt":"2023-09-14T05:24:58","slug":"thermodynamic-bound-on-the-asymmetry-of-cross-correlations","status":"publish","type":"post","link":"https:\/\/www.phys.s.u-tokyo.ac.jp\/en\/news\/4361\/","title":{"rendered":"Thermodynamic bound on the asymmetry of cross-correlations"},"content":{"rendered":"
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The principle of microscopic reversibility says that, in equilibrium, two-time cross-correlations are symmetric under the exchange of observables. Thus, the asymmetry of cross-correlations is a fundamental, measurable, and often-used statistical signature of deviation from equilibrium. Here we find a simple and universal inequality that bounds the magnitude of asymmetry by the cycle affinity, i.e., the strength of thermodynamic driving. Our result applies to a large class of systems and all state observables, and it suggests a fundamental thermodynamic cost for various nonequilibrium functions quantified by the asymmetry. It also provides a powerful tool to infer affinity from measured cross-correlations, in a different and complementary way to the thermodynamic uncertainty relations. As an application, we prove a thermodynamic bound on the coherence of noisy oscillations, which was previously conjectured by Barato and Seifert. We also derive a thermodynamic bound on directed information flow in a biochemical signal transduction model.<\/p>\n\n\n\n

See below for more information.<\/p>\n\n\n\n