This article is cited in 11 papers

Critical behavior and finite volume

Yu. M. Ivanchenko, A. A. Lisyanskii, A. E. Filippov


Abstract: 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.

Received: 02.04.1985

 English version: Theoretical and Mathematical Physics, 1986, 67:1, 413–418

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