Geodesic
Critical behavior and finite volume
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 143-150 
Yu. M. Ivanchenko; A. A. Lisyanskii; A. E. Filippov. Critical behavior and finite volume. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 143-150. http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An exactly solvable model is used to investigate the influence of the finite size of a system on its critical behavior. The renormalization of the critical temperature is calculated together with the critical exponents and the correlation function. A crossover of the critical exponents from their scaling values to the exponents of mean field theory is obtained. The possibility of complete disappearance of the region of scaling under the influence of the finite size of the system is demonstrated.

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