Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality
Statistical Mechanics
2014-03-03 v2 Disordered Systems and Neural Networks
Abstract
We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network, where a saddle-node bifurcation of the renormalization-group fixed point governs the essential singularity.
Keywords
Cite
@article{arxiv.1206.5062,
title = {Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality},
author = {Tomoaki Nogawa and Takehisa Hasegawa and Koji Nemoto},
journal= {arXiv preprint arXiv:1206.5062},
year = {2014}
}
Comments
5 pages, 3 figures