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- W2023743610 abstract "In a recent article we have shown that, by applying sophisticated summation methods to Wilson-Fisher's e-expansion, it is possible from the presently known terms of the series to obtain accurate values of critical exponents for the 0(n) symmetric n-vector model: these values are consistent with the best estimates obtained from three-dimensional Renormalization Group calculations and, in the case of Ising-like systems, with the exactly known two-dimensional values of the Ising model. The controversial conjecture has been recently formulated that some fractal lattices could interpolate regular lattices in non-integer dimensions. Numerical calculations have been done for the Ising model. To allow for direct comparison with Renormalization group values, we presen Dans un article recent nous avons montre qu'en appliquant des methodes raffinees de resommation au developpement en e de Wilson-Fisher, nous pouvions obtenir, a partir des termes des series disponibles actuellement, des valeurs precises pour les exposants critiques du modele de Heisenberg classique avec symetrie 0(n): ces valeurs sont en excellent accord avec les resultats tires de calculs de Groupe de Renormalisation a 3 dimensions, ainsi qu'avec les resultats exacts du modele d'Ising a 2 dimensions. Recemment divers auteurs ont suggere qu'il etait possible d'utiliser des reseaux fractals pour interpoler les reseaux reguliers en dimension non entiere. Des calculs numeriques ont ete faits pour le modele d'Ising. De facon a permettre une comparaison directe avec les valeurs du Groupe de Renormalisation, nous presentons ici nos resultats pour les exposants critiques pour des dimensions d non entieres (1<d≤4). En imposant les valeurs exactes du modele d'Ising a d=2, nous ameliorons egalement les valeurs a d=3. Finalement nous remarquons que les valeurs des exposants extrapoles pour d<2 ne sont pas en desaccord avec les valeurs tirees du modele d'interface presque plat" @default.
- W2023743610 created "2016-06-24" @default.
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- W2023743610 date "1987-01-01" @default.
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- W2023743610 title "Accurate critical exponents for Ising like systems in non-integer dimensions" @default.
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- W2023743610 doi "https://doi.org/10.1051/jphys:0198700480101900" @default.
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