How to derive a predictive field theory for active Brownian particles: a step-by-step tutorial

The study of active soft matter has developed into one of the most rapidly growing areas of physics. Field theories, which can be developed either via phenomenological considerations or by coarse-graining of a microscopic model, are a very useful tool for understanding active systems. Here, we provide a detailed review of a particular coarse-graining procedure, the interaction-expansion method (IEM). The IEM allows for the systematic microscopic derivation of predictive field theories for systems of interacting active particles. We explain in detail how it can be used for a microscopic derivation of active model B+, which is a widely used scalar active matter model. Extensions and possible future applications are also discussed.

• Publication year

  2023

• Venue

  Journal of Physics: Condensed Matter

• Publication date

  2023-03-14

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1088/1361-648X/acc440PMID 36917854
• 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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