First-passage time: Lattice versus continuum

Sharma, Kamal; Kumar, N.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5695

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DC Field	Value	Language
dc.contributor.author	Sharma, Kamal	-
dc.contributor.author	Kumar, N.	-
dc.date.accessioned	2013-07-19T06:52:45Z	-
dc.date.available	2013-07-19T06:52:45Z	-
dc.date.issued	2012-09-11	-
dc.identifier.citation	Physical Review E, 2012, Vol.86, p032104	en
dc.identifier.issn	1539-3755	-
dc.identifier.issn	1550-2376 (Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/5695	-
dc.description	Restricted Access.	en
dc.description.abstract	The well known approach, based on Schrödinger's integral equation, to the problem of calculating the first-passage probability density in time for classical diffusion on a continuum is revisited for the case of diffusion by hopping on a discrete lattice. It turns out that a certain boundary condition central to solving the integral equation, invoked first by Schrödinger and then by others on the basis of a physical argument, needs to be modified for the discrete case. In fact, the required boundary condition turns out to be determined entirely by the normalization condition for the first-passage probability density. An explicit analytical expression is derived for the first-passage density for a three-site problem modeling escape over a barrier. The related quantum first-passage problem is also commented upon briefly.	en
dc.language.iso	en	en
dc.publisher	American Physical Society	en
dc.relation.uri	http://dx.doi.org/10.1103/PhysRevE.86.032104	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2012PhRvE..86c2104S	en
dc.rights	2013 American Physical Society	en
dc.title	First-passage time: Lattice versus continuum	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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