Six-vertex model and Schramm-Loewner evolution.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.052146
Abstract: Square ice is a statistical mechanics model for two-dimensional ice, widely believed to have a conformally invariant scaling limit. We associate a Peano (space-filling) curve to a square ice configuration, and more generally to a… read more here.
Keywords: schramm loewner; vertex model; ice; six vertex ... See more keywords
Schramm-Loewner evolution of the accessible perimeter of isoheight lines of correlated landscapes
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Modern Physics C"
DOI: 10.1142/s0129183118500080
Abstract: Real landscapes exhibit long-range height–height correlations, which are quantified by the Hurst exponent H. We give evidence that for negative H, in spite of the long-range nature of correlations, the statistics of the accessible perimeter… read more here.
Keywords: schramm loewner; perimeter isoheight; isoheight lines; accessible perimeter ... See more keywords