Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent β_1

H. W. Diehl

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Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent β_1

机译：缺陷表面上的三维Ising铁磁体的临界行为：表面临界指数β_1上的界

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The critical behaviour of three-dimensional semi-infinite Ising ferromagnets at planar surfaces with (i) random surface-bond disorder or (ii) a terrace of monatomic height and macroscopic size is considered. The Griffiths-Kelly-Sherman correlation inequalities are shown to impose constraints on the order-parameter density at the surface, which yield upper and lower bounds for the surface critical exponent β_1. If the surface bonds do not exceed the threshold for supercritical enhancement of the pure system, these bounds force β_1 to take the value β_1~(ord) of the latter system's ordinary transition. This explains the robustness of β_1~(ord) to such surface imperfections observed in recent Monte Carlo simulations.

机译：考虑具有（i）随机表面键合无序或（ii）单原子高度和宏观尺寸的阶梯的平面上的三维半无限Ising铁磁体的临界行为。 Griffiths-Kelly-Sherman相关不等式显示出对表面的阶数参数密度施加约束，从而产生了表面临界指数β_1的上下边界。如果表面键未超过纯系统超临界增强的阈值，则这些边界将迫使β_1取后者系统常规转变的值β_1〜（ord）。这解释了β_1〜（ord）对最近蒙特卡洛模拟中观察到的此类表面缺陷的鲁棒性。

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《Zeitschrift fur Physik, B. Condensed Matter》 |1998年第4期|共4页
作者
H. W. Diehl;
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正文语种 eng
中图分类物理学;
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68.35.Rh phase transitions and critical phenomena; 75.10.Hk classical spin models; 78.30.Ly disordered solids;

机译：68.35.Rh相变和临界现象;75.10.Hk经典自旋模型;78.30.Ly无序固体;

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2. Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent β_1 [J] . H. W. Diehl Zeitschrift fur Physik, B. Condensed Matter . 1998,第4期

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6. A study of art educator's descriptive (verbal) preferences: Variables critical to the depiction of three-dimensional objects on a two-dimensional surface [D] . Basseches, K. B. 1999

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7. Optical Properties of Thin Films on Transparent Surfaces by Ellipsometry; Internal Reflection for Film Covered Surfaces Near the Critical Angle [O] . Elio Passaglia, Robert R. Stromberg 1964

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8. Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent β 1 [O] . H.W. Diehl 1998

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9. Renormalization Group Critical Frontier of the Three-Dimensional Bond-Dilute Ising Ferromagnet [R] . Chao, N. C., Schwaccheim, G., Tsallis, C. 1981

机译：三维键 - 稀Iing铁磁体的重整化群临界前沿

Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent β_1

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