Configurational temperature in active matter. I. Lines of invariant physics in the phase diagram of the Ornstein-Uhlenbeck model

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Abstract

This paper shows that the configurational temperature of liquid-state theory, Tconf, defines an energy scale, which can be used for adjusting model parameters of active Ornstein-Uhlenbeck particle (AOUP) models in order to achieve approximately invariant structure and dynamics upon a density change. The required parameter changes are calculated from the variation of a single configuration's Tconf for a uniform scaling of all particle coordinates. The resulting equations are justified theoretically for models involving a potential-energy function with hidden scale invariance. The validity of the procedure is illustrated by computer simulations of the Kob-Andersen binary Lennard-Jones AOUP model, showing the existence of lines of approximate invariance of the reduced-unit radial distribution function and time-dependent mean-square displacement.

OriginalsprogEngelsk
Artikelnummer024609
TidsskriftPhysical Review E
Vol/bind107
Udgave nummer2
ISSN2470-0045
DOI
StatusUdgivet - feb. 2023

Bibliografisk note

Funding Information:
This work was supported by the VILLUM Foundation's Matter grant (16515).

Emneord

  • Nonequilibrium statistical mechanics
  • Temperature
  • Dry active matter
  • Biological Physics
  • Interdisciplinary Physics
  • Statistical Physics
  • Condensed Matter, Materials & Applied Physics

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