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The Dean-Kawasaki equation and stochastic density functional theory

Pierre Illien1

  • 1Sorbonne Université, CNRS, Physical Chemistry of Electrolytes and Interfacial Nanosystems (PHENIX), 4 place Jussieu, Paris, France.

Reports on Progress in Physics. Physical Society (Great Britain)
|July 10, 2025
PubMed
Summary

The Dean-Kawasaki equation models interacting Brownian particles, forming the basis of stochastic density functional theory (SDFT). This review explores its derivation, connections to statistical mechanics, and applications in diverse physical systems.

Keywords:
Brownian motionLangevin processesdiffusionnonequilibrium statistical physicsstochastic calculusstochastic processes

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