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https://hdl.handle.net/1822/11842
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Gonçalves, Patrícia | - |
dc.date.accessioned | 2011-03-04T10:38:00Z | - |
dc.date.available | 2011-03-04T10:38:00Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | GONÇALVES, Patricia – A hyperbolic conservation law and Particle Systems. “Journal of Difference Equations and Applications” [Em linha]. [Consult. 11 Jan. 2011]. Disponível em WWW:<URL: http://www.informaworld.com/smpp/section?content=a930792520&fulltext=713240928>. ISSN 1563-5120. | por |
dc.identifier.issn | 1023-6198 | por |
dc.identifier.issn | 1563-5120 | por |
dc.identifier.uri | https://hdl.handle.net/1822/11842 | - |
dc.description.abstract | In these notes we consider two particle systems: the totally asymmetric simple exclusion process and the totally asymmetric zero-range process. We introduce the notion of hydrodynamic limit and describe the partial differential equation that governs the evolution of the conserved quantity – the density of particles p(t,.). This equation is a hyperbolic conservation law of type ətp(p, u) + vF(p(t, u)) = 0, where the flux F is a concave function. Taking these systems evolving on the Euler time scale tN, a central limit theorem for the empirical measure holds and the temporal evolution of the limit density field is deterministic. By taking the system in a reference frame with constant velocity, the limit density field does not evolve in time. In order to have a non-trivial limit, time needs to be speeded up and for time scales smaller than tN 4=3, there is still no temporal evolution. As a consequence, the current across a characteristic vanishes up to this longer time scale. | por |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) - bolsa SFRH/BPD/39991/2007 | por |
dc.description.sponsorship | Fundação Calouste Gulbenkian - projecto "Hydrodynamic limit of particle systems" | por |
dc.language.iso | eng | por |
dc.publisher | Taylor and Francis | por |
dc.rights | openAccess | por |
dc.subject | Hyperbolic conservation law | por |
dc.subject | Hydrodynamic limit | por |
dc.subject | Asymmetric simple exclusion | por |
dc.subject | Asymmetric zero-range | por |
dc.subject | Equilibrium fluctuations | por |
dc.title | A hyperbolic conservation law and particle systems | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://dx.doi.org/10.1080/10236190903382657 | - |
dc.comments | A Francis and Taylor tem uma política de embargo de 18 meses | por |
sdum.publicationstatus | in publication | por |
oaire.citationTitle | Journal of Difference equations and applications | por |
sdum.journal | Journal of Difference equations and applications | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |