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→Origin of homogeneity; block spins 齐次性的成因与块自旋
[5], which was itself one of the inspirations for the
[5], which was itself one of the inspirations for the
renormalization-group theory [19,20].
renormalization-group theory [19,20].
来自于重整化群理论的卡丹诺夫块自旋（图2）为({{EquationNote|1=7}})和({{EquationNote|1=10}})中的齐次性以及由它们推导出的指数关系提供了物理解释。
In a lattice spin model (Ising model), one considers blocks of spins,
In a lattice spin model (Ising model), one considers blocks of spins,
spins, with <math>L</math> much less than the diverging correlation
spins, with <math>L</math> much less than the diverging correlation
length <math>\xi</math> (Fig. 2).
length <math>\xi</math> (Fig. 2).
在格子自旋模型（[[伊辛模型 Ising Model|'''伊辛模型''']]）中，假设有许多自旋块，每一个的线性尺寸为<math>L\ </math>，因此包含<math>L^d</math>，而<math>L</math>远小于发散关联长度<math>\xi</math>（图2）。
[[Image:scaling_laws_widom_nocaption_Fig2.png|thumb|300px|right|Block spins|链接=Special:FilePath/Scaling_laws_widom_nocaption_Fig2.png]]
[[Image:scaling_laws_widom_nocaption_Fig2.png|thumb|300px|right|Block spins|链接=Special:FilePath/Scaling_laws_widom_nocaption_Fig2.png]]
f(L^yt,
f(L^yt,
L^xH) \equiv L^df(t,H); </math>
L^xH) \equiv L^df(t,H); </math>
{{NumBlk|1=:|2=<math>f(L^yt,
每一个自旋块通过与相邻块的共同边界相互作用。在对应的重标度模型中可以将它们视作单独的自旋。每个块的大小都是有限的，因此其内部的自旋只对系统的自由能提供解析项。{{NumBlk|1=:|2=<math>f(L^yt,
L^xH) \equiv L^df(t,H);</math>|3={{EquationRef|20}}}}
L^xH) \equiv L^df(t,H);</math>|3={{EquationRef|20}}}}