Comment on ``Both site and link overlap distributions are non trivial in 3-dimensional Ising spin glasses'', cond-mat/0608535v2

TL;DR

This paper discusses the finite-size effects observed in numerical experiments on 3D Ising spin glasses, emphasizing that violations of overlap identities diminish as system size increases, aligning with theoretical expectations.

Contribution

It clarifies that the observed violations of overlap identities in finite systems are due to size effects and vanish in the thermodynamic limit, supporting theoretical predictions.

Findings

Violations of overlap identities decrease with system size

Finite-size effects explain observed discrepancies

Overlap identities hold in the thermodynamic limit

Abstract

We comment on recent numerical experiments by G.Hed and E.Domany [cond-mat/0608535v2] on the quenched equilibrium state of the Edwards-Anderson spin glass model. The rigorous proof of overlap identities related to replica equivalence shows that the observed violations of those identities on finite size systems must vanish in the thermodynamic limit. See also the successive version cond-mat/0608535v4