Detecting structural transitions in nonequilibrium systems using entropy bounds
ORAL
Abstract
Entropy is a global variable which is well-defined out of equilibrium through its relation to information. Changes in the entropy of many-particle systems are useful indicators of structural transitions. However, reliable estimation of entropy from experimental or numerical data is an ongoing challenge due to under-sampling and discretization problems. We have developed methods to obtain rigorous bounds on the structural entropy of many-particle systems from measured correlation functions and kinetic coefficients, thus bypassing the sampling and discretization problems. We demonstrate the success of these methods in identifying subtle structural transitions in complex nonequilibrium systems from experimental or numerical data. Comparison of entropy bounds obtained from different correlation functions or kinetic coefficients using the same dataset can reveal the dominant physical mechanism underlying the transition.
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Publication: 1. G. Ariel and H. Diamant, Phys. Rev. E 102, 022110 (2020).
2. B. Sorkin, J. Ricouvier, H. Diamant, and G. Ariel, Phys. Rev. E 107, 014138 (2023).
3. B. Sorkin, A. Be'er, H. Diamant, and G. Ariel, Soft Matter 19, 5118 (2023).
4. B. Sorkin, H. Diamant, and G. Ariel, Phys. Rev. Lett. 131, 147101 (2023).
5. B. Sorkin, G. Ariel, and H. Diamant, Variational principle for deriving relations between transport coefficients and entropy, in preparation.
Presenters
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Haim Diamant
- Tel Aviv University