First-Passage Monte Carlo Algorithm: Diffusion without All the Hops
2006 (English)In: Physical Review Letters, ISSN 0031-9007, Vol. 97, 230602- p.Article in journal (Refereed) Published
We present a novel Monte Carlo algorithm for N diffusing finite particles that react on collisions. Using the theory of first-passage processes and time dependent Green’s functions, we break the difficult N-body problem into independent single- and two-body propagations circumventing numerous diffusion hopsused in standard Monte Carlo simulations. The new algorithm is exact, extremely efficient, and applicablet o many important physical situations in arbitrary integer dimensions.
Place, publisher, year, edition, pages
2006. Vol. 97, 230602- p.
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:kth:diva-11568DOI: 10.1103/PhysRevLett.97.230602ISI: 000242708900007ScopusID: 2-s2.0-33845276991OAI: oai:DiVA.org:kth-11568DiVA: diva2:277758
PACS numbers: 05.10.Ln, 02.60.Cb, 02.70.Tt, 02.70.Uu
QC 201008052009-11-202009-11-202011-11-08Bibliographically approved