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Critical exponents of ferromagnetic Ising model on fractal lattices
預印本

Critical exponents of ferromagnetic Ising model on fractal lattices

03/11/2000

摘要

Physics - Soft Condensed Matter Physics - Statistical Mechanics
We review the value of the critical exponentsν⁻¹ ,β/ν , andγ/νof ferromagnetic Ising model on fractal lattices of Hausdorff dimension between one and three. They are obtained by Monte Carlo simulation with the help of Wolff algorithm. The results are accurate enough to show that the hyperscaling lawd_(f)=2β/ν+γ/νis satisfied in non-integer dimension. Nevertheless, the discrepancy between the simulation results and the∊ -expansion studies suggests that the strong universality should be adapted for the fractal lattices.

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詳細資料

題名
Critical exponents of ferromagnetic Ising model on fractal lattices
創作者:
Pai-Yi Hsiao
學術資源類型
預印本
語言
英語
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