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arXiv 0704.2125cond-mat.stat-mechhep-ph
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用自相似因子近似计算临界指数

Calculation of critical exponents by self-similar factor approximants

V. I. Yukalov, E. P. Yukalova

摘要:

自相似因子近似法被用来计算O(N)对称φ ^4理论和伊辛玻璃的临界指数。结果表明,该方法在计算临界指数时,比已知的级数求和法简单得多,同时所得结果与其它较复杂的数值方法所得结果吻合得很好。自相似因子逼近方法的主要优点是其非常简单和高精度的结合。

英文摘要:

The method of self-similar factor approximants is applied to calculating the critical exponents of the O(N)-symmetric phi^4 theory and of the Ising glass. It is demonstrated that this method, being much simpler than other known techniques of series summation in calculating the critical exponents, at the same time, yields the results that are in very good agreement with those of other rather complicated numerical methods. The principal advantage of the method of self-similar factor approximants is the combination of its extraordinary simplicity and high accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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