Congestion fronts of diffusing particles

B. Burger and H.J. Herrmann

Physica A: Statistical Mechanics and its Applications, 2019, vol. 516, issue C, 125-132

Abstract: We study two new models of two particle species invading a surface from opposite sides. Collisions of particles of different species lead to the formation of congestion fronts. One of the models implements a reversible process whereas in the other model the congestion front forms irreversibly. For both models we find that the congestion fronts are self-affine but with different roughness exponents. For low densities the system does not congest and we find a phase transition between a phase of freely moving particles and a congestion phase.

Keywords: Diffusion; Growth models; Roughness (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:516:y:2019:i:c:p:125-132

DOI: 10.1016/j.physa.2018.10.030

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