Critical exponents for long-range interactions. (English) Zbl 0658.60136

Aizenman, Michael; Fernández, Roberto

Lett. Math. Phys. 16, No. 1, 39-49 (1988).

The contribution of long-range interactions to an “effective dimension” of a model of statistical mechanics is investigated. The authors give a number of rigorous results on critical exponents of such models, including Griffiths-Simon spin models. The analytical results are compared with earlier renormalization-group predictions.

Reviewer: V.Chulaevski

MSC:

60K35	Interacting random processes; statistical mechanics type models; percolation theory
82B05	Classical equilibrium statistical mechanics (general)

Keywords:

long-range interactions; statistical mechanics; critical exponents; Griffiths-Simon spin models; renormalization-group predictions

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