Positional information as a universal predictor of freezing

Tamoghna Das; Tsvi Tlusty

doi:10.1209/0295-5075/ac32f5

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arXiv · 2105.13616

Positional information as a universal predictor of freezing

Tamoghna Das·Tsvi Tlusty

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Abstract

Variation of positional information, measured by the two-body excess entropy $\mathsf{S}_\mathrm{2}$, is studied across the liquid-solid equilibrium transition in a simple two-dimensional system. Analysis reveals a master relation between $\mathsf{S}_\mathrm{2}$ and the freezing temperature $T_{\mathrm{f}}$, from which a scaling law is extracted: $-\mathsf{S}_\mathrm{2}\sim |T_{\mathrm{f}} - T| ^{-1/3}$. Theoretical and practical implications of the observed universality are discussed.

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Tamoghna Das, Tsvi Tlusty. 2021-05-28. Positional information as a universal predictor of freezing. https://doi.org/10.1209/0295-5075%2Fac32f5

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