Dhar, D. (1988) First passage percolation in many dimensions Physics Letters A, 130 (4-5). pp. 308-310. ISSN 0375-9601
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...
Related URL: http://dx.doi.org/10.1016/0375-9601(88)90616-0
Abstract
We consider first passage percolation on a d-dimensional hypercubical lattice. The passage time for each bond is an independent exponentially distributed random variable with mean l. For large separations, the limiting ratio of expected minimum passage time between two points along an axis and their separation is a constant μd, and we show that limd→∞ μd/ln d = ½.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 9438 |
| Deposited On: | 02 Nov 2010 12:12 |
| Last Modified: | 31 May 2011 10:27 |
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