PMID: 15244991Jul 13, 2004Paper

Coagulation by random velocity fields as a Kramers problem

Physical Review Letters
B Mehlig, Michael Wilkinson

Abstract

We analyze the motion of a system of particles suspended in a fluid which has a random velocity field. There are coagulating and noncoagulating phases. We show that the phase transition is related to a Kramers problem, and we use this to determine the phase diagram in two dimensions, 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 nonanalytic at epsilon=0, and which is related to escape over a barrier in the Kramers problem. We discuss the physical realizations of this phase transition.

References

Apr 6, 2001·Physical Review Letters·E BalkovskyA Fouxon
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jörg Schumacher, Bruno Eckhardt

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Citations

May 24, 2015·The Journal of Chemical Physics·James Burnett, Ian J Ford
Jan 20, 2018·Physical Review. E·J MeibohmB Mehlig
Aug 16, 2006·Physical Review Letters·Michael WilkinsonVlad Bezuglyy
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J BecR Hillerbrand
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B MehligK Nakamura
Oct 3, 2019·Physical Review. E·J Meibohm, B Mehlig
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Grigory A Sizov
Feb 7, 2007·Physical Review Letters·P DenissenkoS Lukaschuk
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Apoorva NagarMustansir Barma
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K Gustavsson, B Mehlig
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G FalkovichM Vucelja
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B MehligM Ljunggren
Dec 31, 2005·Physical Review Letters·Kevin DuncanMichael Wilkinson
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Piero Olla, Raffaella M Vuolo
Mar 16, 2007·Physical Review Letters·Jaan Kalda
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M ChaichianA Zahabi

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