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2D Ising model solution - Onsager

Apr 10, 2015

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Charles Xu

CRYSTAL STATISTICS

iii

PHYSICAL REVIEW

VOLUME 65. NUMBERS 3 AND 4

FEBRUARY I AND 15. 1944

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

LARS ONSAGER

Sterling Chemistry Laboratory,. Yale University, New Haven, Connecticut

(Received October 4,1943)

The partition function of a two-dimensional "ferromagnetic" with scalar "spins" (Ising model) is computed rigorously for the case of vanishing field. The eigenwert problem involved
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