We show that: (a) the free energy and correlation functions of the two-dimensional Ising-spin system with nearest-neighbour ferromagnetic interactions, remain infinitely differentiable with respect to beta and h as h → O± for β > β_c (where β_c is the reciprocal of the critical temperature) and, (b) the equilibrium equations for the correlation functions of Ising-spin systems may admit a non-physical solution even in the region, β < β_c, where they are known to have a unique physical solution.
Some remarks on Ising spin systems / Gallavotti, Giovanni; J., Lebowitz. - In: PHYSICA. - ISSN 0031-8914. - STAMPA. - 70:(1973), pp. 219-221. [10.1016/0031-8914(73)90290-5]
Some remarks on Ising spin systems
GALLAVOTTI, Giovanni;
1973
Abstract
We show that: (a) the free energy and correlation functions of the two-dimensional Ising-spin system with nearest-neighbour ferromagnetic interactions, remain infinitely differentiable with respect to beta and h as h → O± for β > β_c (where β_c is the reciprocal of the critical temperature) and, (b) the equilibrium equations for the correlation functions of Ising-spin systems may admit a non-physical solution even in the region, β < β_c, where they are known to have a unique physical solution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
