Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Some generalized order-disorder transformations

R. B. Pottsa1

a1 The Clarendon Laboratory Oxford*

In considering the statistics of the ‘no-field’ square Ising lattice in which each unit is capable of two configurations and only nearest neighbours interact, Kramers and Wannier (3) were able to deduce an inversion transformation under which the partition function of the lattice is invariant when the temperature is transformed from a low to a high (‘inverted’) value. The important property of this inversion transformation is that its fixed point gives the transition point of the lattice.

(Received July 14 1951)

Correspondence:

p1 Present address: The University of Adelaide, South Australia.