Ising model on a self-avoiding walk

Chakrabarti, B. K. ; Maggs, A. C. ; Stinchcombe, R. B. (1985) Ising model on a self-avoiding walk Journal of Physics A: Mathematical and General, 18 (7). L373-L376. ISSN 0305-4470

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Fluctuation arguments combined with basic features of the geometry of self-avoiding walks (SAWs) are shown to lead to zero transition temperature Tc for the Ising model on a SAW. The Ising model on a non-random fractal representing the essential geometrical features of SAWs is treated exactly by a decimation method. It also leads to Tc=0, and to Ising SAW critical behavior different from that on an Ising chain.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:44850
Deposited On:23 Jun 2011 07:47
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