$W$：模型系统的另一种唯象耦合参数
$W$ : an alternative phenomenological coupling parameter for model systems
摘要：
我们引入了一个参数$W(β,L)= (π\,\langle |m| \rangle^2/\langle m^2 \rangle - 2)/(π-2)$，它像峰度（Binder累积量）是一个唯象耦合特性的分布$p(m)$的形状的顺序参数$m$。为了演示该参数的使用，我们分析了从正则简单立方自旋- $1/2$ Ising铁磁体的态密度测量中获得的大量数值数据，尺寸为$L=4$至$L=256$。使用$W$参数精确估计的临界逆温度$β_c = 0.2216541(2)$，并为热指数$ν= 0.6308(4)$。至少在这个系统中，对于$W$ -参数，有限尺寸标度的校正比Binder累积量明显弱。
英文摘要：
We introduce a parameter $W(β,L)= (π\,\langle |m| \rangle^2/\langle m^2 \rangle - 2)/(π-2)$ which like the kurtosis (Binder cumulant) is a phenomenological coupling characteristic of the shape of the distribution $p(m)$ of the order parameter $m$. To demonstrate the use of the parameter we analyze extensive numerical data obtained from density of states measurements on the canonical simple cubic spin-$1/2$ Ising ferromagnet, for sizes $L=4$ to $L=256$. Using the $W$-parameter accurate estimates are obtained for the critical inverse temperature $β_c = 0.2216541(2)$, and for the thermal exponent $ν= 0.6308(4)$. In this system at least, corrections to finite size scaling are significantly weaker for the $W$-parameter than for the Binder cumulant.
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