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- W4323669526 abstract "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." @default.
- W4323669526 created "2023-03-10" @default.
- W4323669526 creator A5002350741 @default.
- W4323669526 creator A5038202730 @default.
- W4323669526 creator A5061671810 @default.
- W4323669526 creator A5068202262 @default.
- W4323669526 creator A5075982331 @default.
- W4323669526 date "2023-03-09" @default.
- W4323669526 modified "2023-10-17" @default.
- W4323669526 title "From a microscopic inertial active matter model to the Schrödinger equation" @default.
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