Microscopic shape of shocks in a domain growth model

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dc.creatorBalazs, Marton
dc.date2001-01-15
dc.date2001-08-29
dc.date.accessioned2026-07-07T08:28:50Z
dc.date.available2026-07-07T08:28:50Z
dc.descriptionConsidering the hydrodynamical limit of some interacting particle systems leads to hyperbolic differential equation for the conserved quantities, e.g. the inviscid Burgers equation for the simple exclusion process. The physical solutions of these partial differential equations develop discontinuities, called shocks. The microscopic structure of these shocks is of much interest and far from being well understood. We introduce a domain growth model in which we find a stationary (in time) product measure for the model, as seen from a defect tracer or second class particle, travelling with the shock. We also show that under some natural assumptions valid for a wider class of domain growth models, no other model has stationary product measure as seen from the moving defect tracer.
dc.descriptionSubmitted to Journal of Statistical Physics. 16 pages, 1 figure. Some minor comments were added for more clear and better understanding; a few more references are also given
dc.identifierhttps://arxiv.org/abs/math/0101124
dc.identifierhttp://arxiv.org/abs/math/0101124
dc.identifierJournal of Stat. Phys., Volume 105, Numbers 3-4 / November, 2001
dc.identifierdoi:10.1023/A:1012271624597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137763
dc.subjectProbability
dc.titleMicroscopic shape of shocks in a domain growth model
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