Displaying similar documents to “On the analogy between self-gravitating Brownian particles and bacterial populations”

Convergence to the brownian Web for a generalization of the drainage network model

Cristian Coletti, Glauco Valle (2014)

Annales de l'I.H.P. Probabilités et statistiques

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We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.

Brownian motion and parabolic Anderson model in a renormalized Poisson potential

Xia Chen, Alexey M. Kulik (2012)

Annales de l'I.H.P. Probabilités et statistiques

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A method known as renormalization is proposed for constructing some more physically realistic random potentials in a Poisson cloud. The Brownian motion in the renormalized random potential and related parabolic Anderson models are modeled. With the renormalization, for example, the models consistent to Newton’s law of universal attraction can be rigorously constructed.

Gravitational collapse of a Brownian gas

Clément Sire, Pierre-Henri Chavanis (2004)

Banach Center Publications

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We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. We focus here on the collapse phase obtained at sufficiently low temperature/energy and on the post-collapse regime following the singular time where the central density diverges. Several analytical results are illustrated by numerical simulations.