Abstract
We derive a functional for the entropy contributed by any microscopic degrees of freedom as arising from their measurable pair correlations. Applicable both in and out of equilibrium, this functional yields the maximum entropy which a system can have given a certain correlation function. When applied to different correlations, the method allows us to identify the degrees of freedom governing a certain physical regime, thus capturing and characterizing dynamic transitions. The formalism applies also to systems whose translational invariance is broken by external forces and whose number of particles may vary. We apply it to experimental results for jammed bidisperse emulsions, capturing the crossover of this nonequilibrium system from crystalline to disordered hyperuniform structures as a function of mixture composition. We discover that the cross-correlations between the positions and sizes of droplets in the emulsion play the central role in the formation of the disordered hyperuniform states. We discuss implications of the approach for entropy estimation out of equilibrium and for characterizing transitions in disordered systems.
Original language | English |
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Article number | 014138 |
Journal | Physical Review E |
Volume | 107 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2023 |
Bibliographical note
Publisher Copyright:© 2023 American Physical Society.
Funding
We thank David Andelman, Roi Peer, Shlomi Reuveni, and Yael Roichman for helpful suggestions. We thank Patrick Tabeling and Pavel Yazhgur for sharing the experimental data. H.D. and B.S. acknowledge support from the Israel Science Foundation (Grant No. 986/18). J.R. is grateful to the Azrieli Foundation for the award of an Azrieli Fellowship.
Funders | Funder number |
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Israel Science Foundation | 986/18 |
Azrieli Foundation |