An annihilating-branching particle model for the heat equation with average temperature zero

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An annihilating-branching particle model for the heat equation with average temperature zero

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dc.contributor.author Burdzy, Krzysztof
dc.contributor.author Quastel, Jeremy
dc.date.accessioned 2005-10-14T23:06:36Z
dc.date.available 2005-10-14T23:06:36Z
dc.date.issued 2005
dc.identifier.uri http://hdl.handle.net/1773/2134
dc.description.abstract We 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 as en
dc.description.sponsorship Research partially supported by National Science Foundation (NSF) grants DMS-0303310 (KB) and NSERC (JQ). en
dc.format.extent 202106 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.subject Reflecting boundary conditions en
dc.subject Neumann eigenfunctions en
dc.subject Heat equation en
dc.title An annihilating-branching particle model for the heat equation with average temperature zero en
dc.type Article en


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