Resolving entropy contributions in nonequilibrium transitions

Benjamin Sorkin, Joshua Ricouvier, Haim Diamant, and Gil Ariel
Phys. Rev. E 107, 014138 – Published 30 January 2023
PDFHTMLExport Citation

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.

  • Figure
  • Figure
  • Received 9 August 2022
  • Accepted 13 December 2022

DOI:https://doi.org/10.1103/PhysRevE.107.014138

©2023 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied PhysicsPolymers & Soft Matter

Authors & Affiliations

Benjamin Sorkin1, Joshua Ricouvier2, Haim Diamant1, and Gil Ariel3,*

  • 1School of Chemistry and Center for Physics and Chemistry of Living Systems, Tel Aviv University, 69978 Tel Aviv, Israel
  • 2Department of Chemical and Biological Physics, Weizmann Institute of Science, 76100 Rehovot, Israel
  • 3Department of Mathematics, Bar-Ilan University, 52000 Ramat Gan, Israel

  • *arielg@math.biu.ac.il

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 107, Iss. 1 — January 2023

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×