Dhar, D. (1987) The collapse of directed animals Journal of Physics A: Mathematical and General, 20 (13). L847-L850. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/20/13/007
Related URL: http://dx.doi.org/10.1088/0305-4470/20/13/007
Abstract
Directed animals on a square lattice with attractive nearest-neighbour and next-nearest-neighbour interactions are considered. Using an equivalence between the collapse problem and the directed site bond percolation problem, the bulk free energy per site is calculated exactly in the collapsed phase. It shows no singularity as the transition is approached from the collapsed side. For the three-dimensional directed animals, bulk free energy per site in the collapsed phase is calculated exactly if the interaction weights are related by an algebraic equation.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics Publishing. |
| ID Code: | 9402 |
| Deposited On: | 02 Nov 2010 12:17 |
| Last Modified: | 31 May 2011 10:25 |
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