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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4772
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dc.contributor.authorGhosh, Abhijit-
dc.contributor.authorSamuel, J.-
dc.contributor.authorSinha, Supurna-
dc.date.accessioned2012-07-03T08:27:37Z-
dc.date.available2012-07-03T08:27:37Z-
dc.date.issued2012-05-
dc.identifier.citationEurophysics Letters, 2012, Vol.98, p.30003en
dc.identifier.issn0295-5075-
dc.identifier.issn1286-4854 (Online).-
dc.identifier.urihttp://hdl.handle.net/2289/4772-
dc.descriptionRestricted Access.en
dc.description.abstractWe present an analytical closed form expression, which gives a good approximate propagator for diffusion on the sphere. Our formula is the spherical counterpart of the Gaussian propagator for diffusion on the plane. While the analytical formula is derived using saddle point methods for short times, it works well even for intermediate times. Our formula goes beyond conventional "short time heat kernel expansions" in that it is nonperturbative in the spatial coordinate, a feature that is ideal for studying large deviations. Our work suggests a new and efficient algorithm for numerical integration of the diffusion equation on a sphere. We perform Monte Carlo simulations to compare the numerical efficiency of the new algorithm with the older Gaussian one.en
dc.language.isoenen
dc.publisherEPL Associationen
dc.relation.urihttp://dx.doi.org/10.1209/0295-5075/98/30003en
dc.relation.urihttp://adsabs.harvard.edu/abs/2012EL.....9830003Gen
dc.rights2012 EPLAen
dc.subjectBrownian motionen
dc.subjectComputational methods in statistical physics and nonlinear dynamicsen
dc.subjectFluctuation phenomena, random processes, noise, and Brownian motionen
dc.titleA "Gaussian" for diffusion on the sphereen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

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