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Physica A Statistical Mechanics and its Applications

Calculation of the free energy of Ising systems by a recursion method

Pál Ruján

Published May 1, 1978• 32 citations
Publisher
DOI
10.1016/0378-4371(78)90197-8

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By recursive methods, numerically exact free energies are calculated for $L\ifmmode\times\else\texttimes\fi{}L$ Ising lattices with bonds of randomly chosen sign, with 6< L< 186<~L<~186< L< 18. Ground states of these systems are identified, and the response to ordering fields is studied. By performing Monte Carlo simulations for precisely the same systems we are able to unambiguously distinguish nonequilibrium phenomena from equilibrium properties. The LLL dependence of our results suggests that there is no nonzero spin-glass order parameter for $L\ensuremath{\rightarrow}\ensuremath{\infty}$.