Show simple item record

dc.contributor.authorBurdzy, Krzysztof
dc.contributor.authorQuastel, Jeremy
dc.date.accessioned2005-10-14T23:06:36Z
dc.date.available2005-10-14T23:06:36Z
dc.date.issued2005
dc.identifier.urihttp://hdl.handle.net/1773/2134
dc.description.abstractWe consider two species of particles performing random walks in a domain in [Real numbers] [superscript] d with reflecting boundary conditions, which annihilate on contact. In addition there is a conservation law so that the total number of particles of each type is preserved: When the two particles of different species annihilate each other, particles of each species, chosen at random, give birth. We assume initially equal numbers of each species and show that the system has a diffusive scaling limit in which the densities of the two species are well approximated by the positive and negative parts of the solution of the heat equation normalized to have constant L [superscript] 1 norm. In particular, the higher Neumann eigenfunctions appear asen
dc.description.sponsorshipResearch partially supported by National Science Foundation (NSF) grants DMS-0303310 (KB) and NSERC (JQ).en
dc.format.extent202106 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.subjectReflecting boundary conditionsen
dc.subjectNeumann eigenfunctionsen
dc.subjectHeat equationen
dc.titleAn annihilating-branching particle model for the heat equation with average temperature zeroen
dc.typeArticleen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record