Log-periodic critical amplitudes: a perturbative approach
Statistical Mechanics
2015-06-15 v1
Abstract
Log-periodic amplitudes appear in the critical behavior of a large class of systems, in particular when a discrete scale invariance is present. Here we show how to compute these critical amplitudes perturbatively when they originate from a renormalization map which is close to a monomial. In this case, the log-periodic amplitudes of the subdominant corrections to the leading critical behavior can also be calculated.
Keywords
Cite
@article{arxiv.1303.5971,
title = {Log-periodic critical amplitudes: a perturbative approach},
author = {Bernard Derrida and Giambattista Giacomin},
journal= {arXiv preprint arXiv:1303.5971},
year = {2015}
}
Comments
17 pages, 2 figures