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arXiv 1303.0294physics.comp-phcond-mat.stat-mech
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从有限规模蒙特卡罗模拟中求标度指数的有效方法

Efficient method of finding scaling exponents from finite-size Monte-Carlo simulations

Indrek Mandre, Jaan Kalda

摘要:

蒙特卡罗模拟通常用于估计复杂系统的标度指数。然而,由于有限尺寸效应,确定指数值通常是困难的并且不可靠。在这里,我们提出了一种新的技术处理的问题,有限尺寸标度。这种新方法不仅可以减少标度指数的不确定性,而且还可以确定标度律的渐近修正指数。该技术的效率证明通过寻找不相关的渗流簇壳的标度指数。

英文摘要:

Monte-Carlo simulations are routinely used for estimating the scaling exponents of complex systems. However, due to finite-size effects, determining the exponent values is often difficult and not reliable. Here we present a novel technique of dealing with the problem of finite-size scaling. This new method allows not only to decrease the uncertainties of the scaling exponents, but makes it also possible to determine the exponents of the asymptotic corrections to the scaling laws. The efficiency of the technique is demonstrated by finding the scaling exponent of uncorrelated percolation cluster hulls.

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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