Critical-point singularities
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 106-119
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Formulas are obtained that express the susceptibility in the critical region in the ordered phase in terms of parameters of auxiliary Hamiltonians. The critical-point condition is analyzed. Relations are obtained that connect the critical behavior of the order parameter and the susceptibility, and under some additional conditions these yield the well-known equation $\gamma=\beta(\delta-1)$. The treatment is rigorous.
@article{TMF_1981_47_1_a8,
author = {V. N. Plechko},
title = {Critical-point singularities},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {106--119},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a8/}
}
V. N. Plechko. Critical-point singularities. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 106-119. http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a8/