The critical dimension for lattice animals
- 1 April 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (4) , L97-L101
- https://doi.org/10.1088/0305-4470/13/4/005
Abstract
Recent field theoretical calculations for lattice animals by Lubensky and Isaacson (see Phys. Rev. A, vol.20, p.2130, 1979) yield dc=8 as the critical dimension and provide a first order epsilon -expansion for the exponent theta . Support for these predictions may be obtained by extending the previous work of Gaunt and Rushkin (see ibid., vol.11, p.1369, 1978) on the exact enumeration of site and bond animals on a d-dimensional simple hypercubic lattice to arbitrary d.Keywords
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