Critical behavior and finite volume
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 143-150
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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.
@article{TMF_1986_67_1_a12,
author = {Yu. M. Ivanchenko and A. A. Lisyanskii and A. E. Filippov},
title = {Critical behavior and finite volume},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {143--150},
publisher = {mathdoc},
volume = {67},
number = {1},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a12/}
}
TY - JOUR AU - Yu. M. Ivanchenko AU - A. A. Lisyanskii AU - A. E. Filippov TI - Critical behavior and finite volume JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 143 EP - 150 VL - 67 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a12/ LA - ru ID - TMF_1986_67_1_a12 ER -
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/