A morphological study of cluster dynamics between critical points. Blanchard, T., Cugliandolo, L. F., & Picco, M. Journal of Statistical Mechanics: Theory and Experiment, 2012(05):P05026, may, 2012. ![A morphological study of cluster dynamics between critical points [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 4 downloads We study the geometric properties of a system initially in equilibrium at a critical point that is suddenly quenched to another critical point and subsequently evolves towards the new equilibrium state. We focus on the bidimensional Ising model and we use numerical methods to characterize the morphological and statistical properties of spin and Fortuin-Kasteleyn clusters during the critical evolution. The analysis of the dynamics of an out of equilibrium interface is also performed. We show that the small scale properties, smaller than the target critical growing length xi(t) $\$simeq t^\1/z\ with z the dynamic exponent, are characterized by equilibrium at the working critical point, while the large scale properties, larger than the critical growing length, are those of the initial critical point. These features are similar to what was found for sub-critical quenches. We argue that quenches between critical points could be amenable to a more detailed analytical description.
@article{Blanchard2012,
abstract = {We study the geometric properties of a system initially in equilibrium at a critical point that is suddenly quenched to another critical point and subsequently evolves towards the new equilibrium state. We focus on the bidimensional Ising model and we use numerical methods to characterize the morphological and statistical properties of spin and Fortuin-Kasteleyn clusters during the critical evolution. The analysis of the dynamics of an out of equilibrium interface is also performed. We show that the small scale properties, smaller than the target critical growing length xi(t) $\backslash$simeq t{\^{}}{\{}1/z{\}} with z the dynamic exponent, are characterized by equilibrium at the working critical point, while the large scale properties, larger than the critical growing length, are those of the initial critical point. These features are similar to what was found for sub-critical quenches. We argue that quenches between critical points could be amenable to a more detailed analytical description.},
archivePrefix = {arXiv},
arxivId = {1203.6100},
author = {Blanchard, Thibault and Cugliandolo, Leticia F. and Picco, Marco},
doi = {10.1088/1742-5468/2012/05/P05026},
eprint = {1203.6100},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Blanchard, Cugliandolo, Picco - 2012 - A morphological study of cluster dynamics between critical points.pdf:pdf},
issn = {1742-5468},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
keywords = {Statistical Mechanics},
month = {may},
number = {05},
pages = {P05026},
title = {{A morphological study of cluster dynamics between critical points}},
url = {http://arxiv.org/abs/1203.6100 http://stacks.iop.org/1742-5468/2012/i=05/a=P05026?key=crossref.8c5f0a30e65656923beb4542616c43ab},
volume = {2012},
year = {2012}
}
Downloads: 4
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