eprintid: 7374
rev_number: 9
eprint_status: archive
userid: 1
dir: disk0/00/00/73/74
datestamp: 2007-05-23 07:09:19
lastmod: 2015-04-28 16:58:43
status_changed: 2012-08-14 15:21:43
type: preprint
metadata_visibility: show
creators_name: Reichert, Christian
title: Laws of large numbers for mesoscopic stochastic models of reacting and diffusing particles
ispublished: pub
subjects: ddc-510
divisions: i-708000
keywords: Law of large numbers , reaction-diffusion model
cterms_swd: Gesetz der großen Zahlen
cterms_swd: Reaktionsdynamik
cterms_swd: Stochastisches Teilchensystem
abstract: We study the asymptotic behaviour of some mesoscopic stochastic models for systems of reacting and diffusing particles (also known as density-dependent population processes) as the number of particles goes to infinity. Our approach is related to the variational approach to solving the parabolic partial differential equations that arise as limit dynamics. We first present a result for a model that converges to a classical system of reaction-diffusion equations. In addition, we discuss two models with nonlinear diffusion that give rise to quasilinear parabolic equations in the limit.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 60K35, 60F99
date: 2007
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00007374
portal_cluster_id: p-iwrpp
portal_order: 07374
ppn_swb: 164617576X
own_urn: urn:nbn:de:bsz:16-opus-73745
language: eng
bibsort: REICHERTCHLAWSOFLARG2007
full_text_status: public
series: IWR-Preprints
citation:   Reichert, Christian  (2007) Laws of large numbers for mesoscopic stochastic models of reacting and diffusing particles.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/7374/1/lln.pdf