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Kinetic theory for active particles modelling coupled to Gaussian thermostats. (English) Zbl 1250.82025

Summary: This paper deals with the kinetic theory for active particles modelling of complex systems, under the action of a velocity-dependent force field, and constrained to keep the total kinetic energy constant. A further development of the mathematical theory is proposed, which consists in the external force-Gaussian isokinetic thermostat coupling with the intent to preserve the kinetic energy of the system during the motion. The relative framework constitutes the paradigm for the derivation of specific models in the applied mathematical sciences, e.g., the chemotaxis phenomenon in biological systems.

MSC:

82C22 Interacting particle systems in time-dependent statistical mechanics
92C17 Cell movement (chemotaxis, etc.)
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