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Summability of the perturbative expansion for a zero-dimensional disordered spin model | G. Alvarez
; V. Martin-Mayor
; J. J. Ruiz-Lorenzo
; | Date: |
13 Oct 1999 | Journal: | J. Phys. A 33, 841 (2000) | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | Abstract: | We show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method. | Source: | arXiv, cond-mat/9910186 | Services: | Forum | Review | PDF | Favorites |
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