Alternative solutions to diluted p-spin models and XORSAT problems
Disordered Systems and Neural Networks
2007-05-23 v3 Statistical Mechanics
Discrete Mathematics
Abstract
We derive analytical solutions for p-spin models with finite connectivity at zero temperature. These models are the statistical mechanics equivalent of p-XORSAT problems in theoretical computer science. We give a full characterization of the phase diagram: location of the phase transitions (static and dynamic), together with a description of the clustering phenomenon taking place in configurational space. We use two alternative methods: the cavity approach and a rigorous derivation.
Cite
@article{arxiv.cond-mat/0207140,
title = {Alternative solutions to diluted p-spin models and XORSAT problems},
author = {M. Mezard and F. Ricci-Tersenghi and R. Zecchina},
journal= {arXiv preprint arXiv:cond-mat/0207140},
year = {2007}
}
Comments
14 pages, 14 figures. v3: small errors corrected, simpler notation used