Cluster structure for dilute ferromagnets and percolation
- 7 May 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (9) , L172-L177
- https://doi.org/10.1088/0022-3719/8/9/023
Abstract
A modification of domb's droplet model for low-temperature randomly dilute ising ferromagnets (percolation problem) suggests that asymptotically the ratio of 'surface area' to 'volume' of spin clusters is the same as for cayley trees on a bethe lattice, i.e. (1-pc)/pc where pc is the percolation threshold. The similarity to clusters of overturned spins in usual (non-dilute) ising magnets near tc is discussed quantitatively.Keywords
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