Kinetic and hydrodynamic models of chemotactic aggregation
نویسندگان
چکیده
منابع مشابه
Kinetic and hydrodynamic models of chemotactic aggregation
We derive general kinetic and hydrodynamic models of chemotactic aggregation that describe certain features of the morphogenesis of biological colonies (like bacteria, amoebae, endothelial cells or social insects). Starting from a stochastic model defined in terms of N coupled Langevin equations, we derive a nonlinear mean field Fokker-Planck equation governing the evolution of the distribution...
متن کاملParticle, Kinetic, and Hydrodynamic Models of Swarming
We review the state-of-the-art in the modelling of the aggregation and collective behavior of interacting agents of similar size and body type, typically called swarming. Starting with individual-based models based on “particle”-like assumptions, we connect to hydrodynamic/macroscopic descriptions of collective motion via kinetic theory. We emphasize the role of the kinetic viewpoint in the mod...
متن کاملA hybrid method for hydrodynamic-kinetic flow - Part II - Coupling of hydrodynamic and kinetic models
In this work we present a non stationary domain decomposition algorithm for multiscale hydrodynamic-kinetic problems, in which the Knudsen number may span from equilibrium to highly rarefied regimes. Our approach is characterized by using the full Boltzmann equation for the kinetic regime, the Compressible Euler equations for equilibrium, with a buffer zone in which the BGK-ES equation is used ...
متن کاملKinetic and hydrodynamic models of nearly elastic granular flows
We introduce and discuss certain models of dilute granular systems of spheres with dissipative collisions and variable coefficient of restitution, under the assumption of weak inelasticity. The dissipation is taken into account by introducing a correction to the Boltzmann collision operator in the form of a nonlinear friction type operator. Using this correction we obtain formally from the Bolt...
متن کاملDevice Benchmark Comparisons via Kinetic, Hydrodynamic, and High-Field Models
This paper describes benchmark comparisons for a GaAs n+ − n − n+ diode. A global kinetic model is simulated, and compared with various realizations of the hydrodynamic model, depending on mobility calibration. Finally, the channel region alone is simulated, with interior boundary conditions derived from the kinetic model, by use of the high-field (augmented drift-diffusion) model.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2007
ISSN: 0378-4371
DOI: 10.1016/j.physa.2007.05.069