Critical phenomena with many body interactions: an exactly soluble model system
- 17 January 1972
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 5 (1) , 1-4
- https://doi.org/10.1088/0022-3719/5/1/003
Abstract
A model Hamiltonian with 2-point, 4-point,..., 2n-point infinite-range interactions chosen in a particular way is introduced and the complete thermodynamics is obtained exactly in an elementary manner. The critical exponents alpha '=1-1/n, beta =1/2n, gamma = gamma '=1, delta =2n+1, Delta '=1+1/2n are derived and a minor violation of scaling is found.Keywords
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