Approximations to Brillouin functions for analytic descriptions of ferromagnetism

Approximations to Brillouin functions for analytic descriptions of ferromagnetism
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DOI:
10.1063/1.2836337
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发表时间:
2008-04-01
影响因子:
3.2
通讯作者:
Arrott, A. S.
Arrott, A. S.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Arrott, A. S.

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磁性的统计理论导致磁场出现在布里渊函数的两项中,这两项都是超越的,使得不可能明确地解决该函数的论点。用平方根函数代替布里渊函数B(J)(x),得到了合作磁现象平均场处理的简单代数表达式。这在铁磁性的教学中是有用的。(C)2008年美国物理学会。
The statistical theory of magnetism leads to the magnetic field appearing in the two terms of the Brillouin function, both of which are transcendental, making it impossible to solve explicitly for the argument of that function. The replacement of the Brillouin function B(J)(x) by a square root function yields simple algebraic expressions for mean field treatments of cooperative magnetic phenomena. This is useful in the teaching of ferromagnetism. (C) 2008 American Institute of Physics.