违反标度定律的一种相变模型

本文准确地求得了一种三维八顶点模型(能量参数满足条件ε₁+ε₂=ε₃+ε₄)的全部临界指数:α=α′=0,β=1/4,δ=7,γ=1/2,γ′=3/2,ν=ν′=1,η=3/2。它们不满足标度定律,其原因是在相变时极化关联的范围发生了收缩(从晶面(1,1,1)和(1,1,1)收缩成晶轴1,0,1]。

A PHASE TRANSITION MODEL NOT IN ACCORDANCE WITH THE SCALING LAW

For a three-dimensional eight-vertex model with energy parameters satisfying the condition ε₁+ε₂=ε₃+ε₄, all the critical exponents have been calculated:α=α′=0,β=1/4,δ=7,γ=1/2,γ′=3/2,ν=ν′=1,η=3/2. These do not satisfy the scaling law, the reason is that the correlative region of polarization contracts from the crystal planes (1, 1, 1) and (1, 1, 1) to the crystal axis 1, 0, 1] at the critical point.