Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-03-10
Phys. Rev. E, 72, 026105 (2005)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevE.72.026105
We study the thermodynamical properties of a self-gravitating gas with two or more types of particles. Using the method of linear series of equilibria, we determine the structure and stability of statistical equilibrium states in both microcanonical and canonical ensembles. We show how the critical temperature (Jeans instability) and the critical energy (Antonov instability) depend on the relative mass of the particles and on the dimension of space. We then study the dynamical evolution of a multi-components gas of self-gravitating Brownian particles in the canonical ensemble. Self-similar solutions describing the collapse below the critical temperature are obtained analytically. We find particle segregation, with the scaling profile of the slowest collapsing particles decaying with a non universal exponent that we compute perturbatively in different limits. These results are compared with numerical simulations of the two-species Smoluchowski-Poisson system. Our model of self-attracting Brownian particles also describes the chemotactic aggregation of a multi-species system of bacteria in biology.
Chavanis Pierre-Henri
Sire Clément
Sopik Julien
No associations
LandOfFree
Self-gravitating Brownian systems and bacterial populations with two or more types of particles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Self-gravitating Brownian systems and bacterial populations with two or more types of particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-gravitating Brownian systems and bacterial populations with two or more types of particles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-685149