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DC Field | Value | Language |
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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) |
Files in This Item:
File | Description | Size | Format | |
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2012_PRE_86_032104.pdf | Open Access | 140.37 kB | Adobe PDF | View/Open |
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