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

Abstract

This paper shows that the configurational temperature of liquid-state theory, $\Tc$, 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 $\Tc$ 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, demonstrating lines of approximate reduced-unit invariance of the radial distribution function and time-dependent mean-square displacement.

Paper II is available at arXiv:2212.09041

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Cited by in corpus (8)

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• AMEP: The Active Matter Evaluation Package for Python
• Thermodynamic nature of irreversibility in active matter
• Active-matter isomorphs in the size-polydisperse Ornstein-Uhlenbeck Lennard-Jones model
• Linear Analysis of Stochastic Verlet-Type Integrators for Langevin Equations