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- W1996332023 abstract "Magnetic spin models and resistor networks are studied on certain self-similar fractal lattices, which are described as 'quasi-linear', because they share a significant property of the line: finite portions can be isolated from the rest by removal of two points (sites). In all cases, there is no long-range order at finite temperature. The transition at zero temperature has a discontinuity in the magnetisation, and the associated magnetic exponent is equal to the fractal dimensionality, D. When the lattice reduces to a non-branching curve the thermal exponent v-1=y is equal to D. When the lattice is a branching curve, y is related, respectively, to the dimensionality of the single-channel segments of the curve (for the Ising model), or to the exponent describing the resistivity (for models with continuous spin symmetry)." @default.
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- W1996332023 date "1983-04-21" @default.
- W1996332023 modified "2023-09-26" @default.
- W1996332023 title "Phase transitions on fractals. I. Quasi-linear lattices" @default.
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- W1996332023 doi "https://doi.org/10.1088/0305-4470/16/6/021" @default.
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