Kinetic Monte Carlo Algorithms for Active Matter Systems.

We study kinetic Monte Carlo (KMC) descriptions of active particles. We show that, when they rely on purely persistent, active steps, their continuous-time limit is ill-defined, leading to the vanishing of trademark behaviors of active matter such as the motility-induced phase separation, ratchet effects, as well as to a diverging mechanical pressure. We then show how, under an appropriate scaling, mixing passive steps with active ones leads to a well-defined continuous-time limit that however differs from standard active dynamics. Finally, we propose new KMC algorithms whose continuous-time limits lead to the dynamics of active Ornstein-Uhlenbeck, active Brownian, and run-and-tumble particles.

• Publication year

  2021

• Venue

  Physical Review Letters

• Publication date

  2021-03-16

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.127.150602arXiv 2103.09001PMID 34678030
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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• Monte Carlo Methods in Statistical Physics

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• Handbook of Mathematical Functions with Formulas, Graphs,

  1971influential reference
• Monte Carlo Sampling Methods Using Markov Chains and Their Applications

  1970cited by this paper
• Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)

  1965cited by this paper
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