Crossover functions by renormalization-group matching: O(ε2) results

Nicoll , J. F. ; Bhattacharjee, J. K. (1981) Crossover functions by renormalization-group matching: O(ε2) results Physical Review B, 23 (1). pp. 389-401. ISSN 0163-1829

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By considering the relationship of the matching techniques of Bruce and Wallace to the differential renormalization-group generators, we find that a restatement of the former gives improved results with the same number of perturbative terms. In particular, the vertex functions and specific heat of a n-component spin system are given exactly in the spherical limit n→∞ even at first order in perturbation theory (T>Tc). The nature of the nonlinear scaling variables is clarified, and the results are generally expressed in a more compact form. The general n-component disordered phase functions are rederived to O(ε2), where ε=4-d. The cross-over equations for the n=1 Ising-like case are derived for the Helmholtz potential A(M), the magnetic field h/M, the inverse susceptibility Γ2, and the correlation length ξ to O(ε2).

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Source:Copyright of this article belongs to American Physical Society.
ID Code:2584
Deposited On:08 Oct 2010 07:06
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