Crossover and scaling in one dimension
- 1 January 1975
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 36 (12) , 1267-1271
- https://doi.org/10.1051/jphys:0197500360120126700
Abstract
The crossover and the scaling laws are derived for the n ≽ 1 Ginzburg-Landau model of weakly coupled linear chains. The results are obtained through the analogy with the weakly coupled anharmonic oscillators, the spectrum of which obeys a homogeneity relation of the Widom type. For n > 1, the crossover index ϕ and the transition temperature index ψ satisfy ϕ = ψ = 2Keywords
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