Abstract
The critical exponents of the anisotropic classical model with n components are investigated in the 1/n-expansion. It is found that they depend only upon the number of the spin components with the largest interaction. This gives a partial confirmation of the universality. It is also proved that the singular part of the derivative of the perpendicular susceptibility is proportional to the dominant singularity of the specific heat through the first order of 1/n: i.e., γ=α-1+O(1/n2).

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