The critical dimension for lattice animals
D S Gaunt; D S Gaunt; Wheatstone Phys. Lab., King's Coll., London, UK
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1980-04-01
Аннотация:
Recent field theoretical calculations for lattice animals by Lubensky and Isaacson (see Phys. Rev. A, vol.20, p.2130, 1979) yield d<sub>c</sub>=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.
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