A Class of Mean Field Models
- 1 April 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (4) , 468-474
- https://doi.org/10.1063/1.1666002
Abstract
A model of isotropically interacting ν‐dimensional classical spins with an infinite range potential of the molecular field‐type is solved. The partition function is represented as the integral of e−βHN over an appropriate weight function, which, for given ν, is the Pearson random walk probability distribution in ν dimensions. A molecular field‐type phase transition is obtained for all ν.Keywords
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