Scale Invariance and Self-averaging in disordered systems
摘要
In a previous paper we found that in the random field Ising model at zero temperature in three dimensions the correlation length is not self-averaging near the critical point and that the violation of self-averaging is maximal. This is due to the formation of bound states in the underlying field theory. We present a similar study for the case of disordered Potts and Ising ferromagnets in two dimensions near the critical temperature. In the random Potts model the correlation length is not self-averaging near the critical temperature but the violation of self-averaging is weaker than in the random field case. In the random Ising model we find still weaker violations of self-averaging and we cannot rule out the possibility of the restoration of self-averaging in the infinite volume limit.
引用
@article{arxiv.cond-mat/0312715,
title = {Scale Invariance and Self-averaging in disordered systems},
author = {Giorgio Parisi and Marco Picco and Nicolas Sourlas},
journal= {arXiv preprint arXiv:cond-mat/0312715},
year = {2007}
}
备注
7 pages, 4 ps figures