Electronic Resource
Springer
Communications in mathematical physics
32 (1973), S. 215-230
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The spherical version of Dyson's hierarchical model is analyzed. A particular case which is designed to simulate the long-range Ising problem is dealt with in detail. A phase transition is found with critical temperature $$\beta _c = \tfrac{1}{2}(2^\alpha - 2)(4 - 2^\alpha )^{ - 1} $$ wheren th neighbor spins interact with a strength ofn −α. Critical exponents are calculated for this particular case and are found to be identical with the critical exponents of the long-range spherical Ising model.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01645593
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