{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T12:37:33Z","timestamp":1774874253595,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"crossref","award":["14-11-00083"],"award-info":[{"award-number":["14-11-00083"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,3,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A stochastic algorithm for simulation of fluctuation-induced reaction-diffusion kinetics\nis presented and further developed following our previous study [J. Math. Chem. (2015), DOI 10.1007\/s10910-014-0446-6] where this method was used\nto describe the annihilation of spatially separate electrons and holes in a disordered semiconductor.\nThis model is based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density.\nHere we focus on the spatial distribution of the reactants, and study the segregation effect which we\nhave found under certain reaction conditions. In addition, to extend simulations on large\nsamples we implemented the method in the cellular-automata framework\ninterpreted as a stochastic interacting particles system in discrete\nbut randomly progressed time instances. We have suggested a first passage time technique to characterize the clustering of electrons and holes,\nwhich seems to be quite convenient and informative instrument also in more general processes when there is a need to analyze\nthe segregation phenomena.<\/jats:p>","DOI":"10.1515\/mcma-2014-0012","type":"journal-article","created":{"date-parts":[[2015,2,9]],"date-time":"2015-02-09T13:09:30Z","timestamp":1423487370000},"page":"33-48","source":"Crossref","is-referenced-by-count":11,"title":["Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations"],"prefix":"10.1515","volume":"21","author":[{"given":"Karl K.","family":"Sabelfeld","sequence":"first","affiliation":[{"name":"Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentiev Prosp. 6, 630090 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander I.","family":"Levykin","sequence":"additional","affiliation":[{"name":"Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentiev Prosp. 6, 630090 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasiya E.","family":"Kireeva","sequence":"additional","affiliation":[{"name":"Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentiev Prosp. 6, 630090 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,2,8]]},"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0012\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0012\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T15:02:37Z","timestamp":1680361357000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0012\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,8]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,3,1]]},"published-print":{"date-parts":[[2015,3,1]]}},"alternative-id":["10.1515\/mcma-2014-0012"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2014-0012","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"value":"0929-9629","type":"print"},{"value":"1569-3961","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,8]]}}}