Coagulation by Random Velocity Fields as a Kramers Problem

Details Coagulation by Random Velocity Fields as a Kramers Problem Coagulation by Random Velocity Fields as a Kramers Problem

2003-10-25

arxiv.org/abs/cond-mat/0310603v1

Phys. Rev. Lett 92, 250602 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.92.250602

We analyse the motion of a system of particles suspended in a fluid which has a random velocity field. There are coagulating and non-coagulating phases. We show that the phase transition is related to a Kramers problem, and use this to determine the phase diagram, as a function of the dimensionless inertia of the particles, epsilon, and a measure of the relative intensities of potential and solenoidal components of the velocity field, Gamma. We find that the phase line is described by a function which is non-analytic at epsilon=0, and which is related to escape over a barrier in the Kramers problem. We discuss the physical realisations of this phase transition.

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