Overlap Distribution of the Three-Dimensional Ising Model

Details Overlap Distribution of the Three-Dimensional Ising Model Overlap Distribution of the Three-Dimensional Ising Model

2002-05-17

arxiv.org/abs/cond-mat/0205377v1

Phys. Rev. E 66, 046122 (2002)

Physics

Condensed Matter

Statistical Mechanics

7 pages, RevTex, 9 Postscript figures

Scientific paper

10.1103/PhysRevE.66.046122

We study the Parisi overlap probability density P_L(q) for the three-dimensional Ising ferromagnet by means of Monte Carlo (MC) simulations. At the critical point P_L(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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