Resolving entropy contributions in nonequilibrium transitions
arXiv:2208.05295 · doi:10.1103/PhysRevE.107.014138
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.
20 pages, 2 figures
References in corpus (8)
- Motility-Induced Phase Separation
- Spontaneous motion in hierarchically assembled active matter
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Relationship between thermodynamics and dynamics of supercooled liquids
- Optimizing Hyperuniformity in Self-Assembled Bidisperse Emulsions
- Analysis of the phase transition in the Ising ferromagnet using a Lempel-Ziv string parsing scheme and black-box data-compression utilities
- Static Structural Signatures of Nearly Jammed Disordered and Ordered Hard-Sphere Packings: Direct Correlation Function
- Realizable hyperuniform and nonhyperuniform particle configurations with targeted spectral functions via effective pair interactions