Resolving entropy contributions in nonequilibrium transitions

Autor: Benjamin Sorkin, Joshua Ricouvier, Haim Diamant, Gil Ariel
Rok vydání: 2023
Předmět:
Zdroj: Physical Review E. 107
ISSN: 2470-0053
2470-0045
DOI: 10.1103/physreve.107.014138
Popis: 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.
20 pages, 2 figures
Databáze: OpenAIRE