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Order-disorder in binary alloys: a theoretical description by use of the Ising model

机译:二元合金中的有序无序:使用伊辛模型的理论描述

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摘要

A new method for solving the Ising problem is presented which can easily be applied to binary ordered intermetallic compounds. Calculation of the partition function by this method is possible not alloy for one-dimensional and two-dimensional lattices, but also for three-dimensional cases. Ordering of a three-dimensional lattice with NaCl structure is analyzed in detail. The reduced critical temperature is found to be RT_C /|#upsilon#| = 1.88. Since the method yields the different defect cluster concentrations, verification of the validity of the mean-field theory is possible. It could be shown that, in the case of alloys with the NaCl structure, mean-field theories are applicable up to a temperature of T/T_C approx = 0.4.
机译:提出了一种解决伊辛问题的新方法,该方法可以轻松地应用于二元有序金属间化合物。用这种方法计算分配函数不仅可能不是一维和二维晶格的合金,而且是三维情况的合金。详细分析了具有NaCl结构的三维晶格的排序。发现降低的临界温度为RT_C / |#upsilon#|。 = 1.88。由于该方法产生的缺陷簇浓度不同,因此有可能验证均值场理论的有效性。可以证明,在具有NaCl结构的合金的情况下,平均场理论适用于T / T_C大约= 0.4的温度。

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