Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/5695
Title: | First-passage time: Lattice versus continuum |
Authors: | Sharma, Kamal Kumar, N. |
Issue Date: | 11-Sep-2012 |
Publisher: | American Physical Society |
Citation: | Physical Review E, 2012, Vol.86, p032104 |
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. |
Description: | Restricted Access. |
URI: | http://hdl.handle.net/2289/5695 |
ISSN: | 1539-3755 1550-2376 (Online) |
Alternative Location: | http://dx.doi.org/10.1103/PhysRevE.86.032104 http://adsabs.harvard.edu/abs/2012PhRvE..86c2104S |
Copyright: | 2013 American Physical Society |
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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