Electronic Resource
Springer
Journal of statistical physics
49 (1987), S. 1165-1180
ISSN:
1572-9613
Keywords:
Lattice animals
;
cluster radius exponents
;
directed clusters
;
finite-size effects
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The partially directed compact lattice animal model on the square lattice is solved exactly for the cluster number and average cluster radius along the directed axis in terms of the appropriate generating functions. For the critical exponents we findθ=0 andυ ‖=1. Caliper size distribution along the directed axis is also calculated analytically. It is used to confirmυ ‖=1 and to study some finite-size scaling properties for this model. For the perpendicular cluster radius distribution, a combination of analytic arguments and computer results leads to a conjecture on the exact form of the appropriate generating function and to the resultυ ⊥=1/2. Some calculations are reported for the triangular lattice and for hypercubic lattices ind〉2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01017564
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