ArticleNature communications2023
From a microscopic inertial active matter model to the Schrödinger equation.
Article in Nature communications, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Self-sustained frictional cooling in active matter.Nature communications · 2025Article
- Enhanced long wavelength Mermin-Wagner-Hohenberg fluctuations in active crystals and glasses.Nature communications · 2025Article
- Anisotropic run-and-tumble-turn dynamics.Soft matter · 2024Article
- Spontaneous flows and quantum analogies in heterogeneous active nematic films.Communications physics · 2024Article
- Dynamical heterogeneity in active glasses is inherently different from its equilibrium behavior.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Thermodynamics of an Empty Box.Entropy (Basel, Switzerland) · 2023Article
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Authors and funding
5 authors.
Funding
Abstract
Active field theories, such as the paradigmatic model known as 'active model B+', are simple yet very powerful tools for describing phenomena such as motility-induced phase separation. No comparable theory has been derived yet for the underdamped case. In this work, we introduce active model I+, an extension of active model B+ to particles with inertia. The governing equations of active model I+ are systematically derived from the microscopic Langevin equations. We show that, for underdamped active particles, thermodynamic and mechanical definitions of the velocity field no longer coincide and that the density-dependent swimming speed plays the role of an effective viscosity. Moreover, active model I+ contains an analog of the Schrödinger equation in Madelung form as a limiting case, allowing one to find analoga of the quantum-mechanical tunnel effect and of fuzzy dark matter in active fluids. We investigate the active tunnel effect analytically and via numerical continuation.
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