Search Results - subject:"Brownian systems"

Hamiltonian and Brownian systems with long-range interactions: I Statistical equilibrium states and correlation functions

Chavanis, Pierre-Henri - In: Physica A: Statistical Mechanics and its Applications 361 (2006) 1, pp. 55-80

We discuss the equilibrium statistical mechanics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system from the canonical description of a stochastically forced Brownian system. We show that the mean-field approximation is exact in...

Persistent link: https://www.econbiz.de/10011058238

Hamiltonian and Brownian systems with long-range interactions: II. Kinetic equations and stability analysis

Chavanis, Pierre-Henri - In: Physica A: Statistical Mechanics and its Applications 361 (2006) 1, pp. 81-123

diffusion coefficient is anisotropic and depends on the velocity of the test particle. For Brownian systems, in the N→+∞ limit …

Persistent link: https://www.econbiz.de/10011062969