Search Results - subject:"Nonlinear mean-field Fokker–Planck equations"

Brownian particles with long- and short-range interactions

Chavanis, Pierre-Henri - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 9, pp. 1546-1574

same hydrodynamic equations are obtained in the context of nonlinear mean field Fokker–Planck equations associated with …, nonlinear mean field Fokker–Planck equations and generalized thermodynamics. It also justifies from a kinetic theory based on …

Persistent link: https://www.econbiz.de/10010588614

Critical mass of bacterial populations in a generalized Keller–Segel model. Analogy with the Chandrasekhar limiting mass of white dwarf stars

Chavanis, Pierre-Henri; Sire, Clément - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 8, pp. 1999-2009

We point out a remarkable analogy between the limiting mass of relativistic white dwarf stars (Chandrasekhar’s limit) and the critical mass of bacterial populations in a generalized Keller–Segel model of chemotaxis [P.H. Chavanis, C. Sire, Phys. Rev. E 69 (2004) 016116]. This model is based...

Persistent link: https://www.econbiz.de/10011057415

Jeans type analysis of chemotactic collapse

Chavanis, Pierre-Henri; Sire, Clément - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 16, pp. 4033-4052

We perform a linear dynamical stability analysis of a general hydrodynamic model of chemotactic aggregation [P.H. Chavanis, C. Sire, Physica A 384 (2007) 199]. Specifically, we study the stability of an infinite and homogeneous distribution of cells against “chemotactic collapse”. We discuss...

Persistent link: https://www.econbiz.de/10011060480

Kinetic and hydrodynamic models of chemotactic aggregation

Chavanis, Pierre-Henri; Sire, Clément - In: Physica A: Statistical Mechanics and its Applications 384 (2007) 2, pp. 199-222

nonlinear mean-field Fokker–Planck equations so that a notion of effective generalized thermodynamics can be developed. …

Persistent link: https://www.econbiz.de/10010873636