Examine the critical behavior of the low-field susceptibility, (chi_{0}), of an Ising model in the Bethe approximation

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Examine the critical behavior of the low-field susceptibility, $\chi_{0}$, of an Ising model in the Bethe approximation of Section 12.6, and compare your results with equations (12.5.22) of the Bragg-Williams approximation.

Equation (12.5.22)

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Statistical Mechanics

ISBN: 9780123821881

3rd Edition

Authors: Paul D. Beale

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Question Posted: Mar 22, 2024 08:00 AM

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Examine the critical behavior of the low-field susceptibility, (chi_{0}), of an Ising model in the Bethe approximation

Question:

Xo(T) (N/k)(T-Tc) (TTC, B 0), (22a) Xo(T) (Nu/2k)(Te-T) (TTC, B 0). (22b)

Step by Step Answer:

Using eqn 12614 we get beginarrayr chi equivleftfracpartial barMpartial B ightTfracN mu2k Tleftfracpartial barLpartial alpha ightTfrac2 N mu2k T frac1...View the full answer

Statistical Mechanics

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