Overlap Distribution of the Three-Dimensional Ising Model
Bernd A. Berg, Alain Billoire, Wolfhard Janke
Abstract
We study the Parisi overlap probability density PL(q) for the three-dimensional Ising ferromagnet by means of Monte Carlo (MC) simulations. At the critical point PL(q) is peaked around q=0 in contrast with the double peaked magnetic probability density. We give particular attention to the tails of the overlap distribution at the critical point, which we control over up to 500 orders of magnitude by using the multi-overlap MC algorithm. Below the critical temperature interface tension estimates from the overlap probability density are given and their approach to the infinite volume limit appears to be smoother than for estimates from the magnetization.
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