The Library
Mixing time of the square plaquette model on a critical length scale
Tools
Chleboun, Paul and Smith, Aaron (2020) Mixing time of the square plaquette model on a critical length scale. Electronic Journal of Probability, 25 . 89. doi:10.1214/20-EJP487 ISSN 1083-6489.
|
PDF
WRAP-Mixing-square-plaquette-model-critical-Chleboun-2020.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (1401Kb) | Preview |
|
PDF
WRAP-mixing-square-plaquette-model-critical-length-scale-Chleboun-2020.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (674Kb) |
Official URL: https://doi.org/10.1214/20-EJP487
Abstract
Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we study the dynamics of the square plaquette model at the smallest of the three critical length scales discovered in [6]. Our main results are estimates of the spectral gap and mixing time for two natural boundary conditions. As a consequence, we observe that these time scales depend heavily on the boundary condition in this scaling regime.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||||
Library of Congress Subject Headings (LCSH): | Statistical mechanics, Markov processes, Distribution (Probability theory), Glass | ||||||||
Journal or Publication Title: | Electronic Journal of Probability | ||||||||
Publisher: | University of Washington. Dept. of Mathematics | ||||||||
ISSN: | 1083-6489 | ||||||||
Official Date: | 6 August 2020 | ||||||||
Dates: |
|
||||||||
Volume: | 25 | ||||||||
Number of Pages: | 53 | ||||||||
Article Number: | 89 | ||||||||
DOI: | 10.1214/20-EJP487 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 3 July 2020 | ||||||||
Date of first compliant Open Access: | 22 September 2020 | ||||||||
Related URLs: | |||||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year