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The random field Ising model is studied numerically at both zero and positivetemperature. Ground states are mapped out in a region of random and externalfield strength. Thermal states and thermodynamic properties are obtained forall temperatures using the the Wang-Landau algorithm. The specific heat andsusceptibility typically display sharp peaks in the critical region for largesystems and strong disorder. These sharp peaks result from large domainsflipping. For a given realization of disorder, ground states and thermal statesnear the critical line are found to be strongly correlated--a concretemanifestation of the zero temperature fixed point scenario.Comment: 5 pages, 5 figures; new material added in this versio

Ground States and Thermal States of the Random Field Ising Model