Complexity Scaling of Liquid Dynamics

Fuente: arXiv
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Autori principali: Douglass, Ian M., Dyre, Jeppe C., Costigliola, Lorenzo
Natura: Preprint
Pubblicazione: 2024
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author Douglass, Ian M.
Dyre, Jeppe C.
Costigliola, Lorenzo
author_facet Douglass, Ian M.
Dyre, Jeppe C.
Costigliola, Lorenzo
contents According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for industrial applications, but hampered by the challenge of calculating entropy efficiently. Utilizing the fact that entropy is basically the Kolmogorov complexity, which can be estimated from optimal compression algorithms [Avinery et al., Phys. Rev. Lett. 123, 178102 (2019); Martiniani et al., Phys. Rev. X 9, 011031 (2019)], we here demonstrate that the diffusion coefficients of four simple liquids follow a quasiuniversal exponential function of the optimal compression length of a single equilibrium configuration. We conclude that "complexity scaling" has the potential to become a useful tool for estimating dynamic properties of any liquid from a single configuration.
format Preprint
id arxiv_https___arxiv_org_abs_2406_19858
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Complexity Scaling of Liquid Dynamics
Douglass, Ian M.
Dyre, Jeppe C.
Costigliola, Lorenzo
Soft Condensed Matter
Statistical Mechanics
According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for industrial applications, but hampered by the challenge of calculating entropy efficiently. Utilizing the fact that entropy is basically the Kolmogorov complexity, which can be estimated from optimal compression algorithms [Avinery et al., Phys. Rev. Lett. 123, 178102 (2019); Martiniani et al., Phys. Rev. X 9, 011031 (2019)], we here demonstrate that the diffusion coefficients of four simple liquids follow a quasiuniversal exponential function of the optimal compression length of a single equilibrium configuration. We conclude that "complexity scaling" has the potential to become a useful tool for estimating dynamic properties of any liquid from a single configuration.
title Complexity Scaling of Liquid Dynamics
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2406.19858