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Path coalescence transition and its applications

Wilkinson, M. and Mehlig, B. (2003). Path coalescence transition and its applications. Physical Review E, 68 040101(R).

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We analyse the motion of a system of particles subjected a random force fluctuating in both space and time, and experiencing viscous damping. When the damping exceeds a certain threshold, the system undergoes a phase transition: the particle trajectories coalesce. We analyse this transition by mapping it to a Kramers problem which we solve exactly. In the limit of weak random force we characterise the dynamics by computing the rate at which caustics are crossed, and the statistics of the particle density in the coalescing phase. Last but not least we describe possible realisations of the effect, ranging from trajectories of raindrops on glass surfaces to animal migration patterns.

Item Type: Journal Article
ISSN: 1539-3755
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 3497
Depositing User: Michael Wilkinson
Date Deposited: 27 Jun 2006
Last Modified: 04 Oct 2016 09:50
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