Coarsening in 2D slabs

Michael Damron, Hana Kogan, Charles M. Newman, Vladas Sidoravicius

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study coarsening; that is, the zero-temperature limit of Glauber dynamics in the standard Ising model on slabs Sk = Z2 × {0,…, k − 1} of all thicknesses k ≥ 2 (with free and periodic boundary conditions in the third coordinate).We show that with free boundary conditions, for k ≥ 3, some sites fixate for large times and some do not, whereas for k = 2, all sites fixate.With periodic boundary conditions, for k ≥ 4, some sites fixate and others do not, while for k = 2 and 3, all sites fixate.

Original languageEnglish (US)
Title of host publicationTopics in Percolative and Disordered Systems
EditorsGérard Ben Arous, Pablo A. Ferrari, Alejandro F. Ramírez, Vladas Sidoravicius, Maria Eulália Vares, Charles M. Newman
PublisherSpringer New York LLC
Pages15-22
Number of pages8
ISBN (Electronic)9781493903382
DOIs
StatePublished - Jan 1 2014
EventPan American Advanced Studies Institute, PASI 2012 - Santiago, Chile
Duration: Jan 3 2012Jan 14 2012

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume69
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherPan American Advanced Studies Institute, PASI 2012
CountryChile
CitySantiago
Period1/3/121/14/12

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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Damron, M., Kogan, H., Newman, C. M., & Sidoravicius, V. (2014). Coarsening in 2D slabs. In G. B. Arous, P. A. Ferrari, A. F. Ramírez, V. Sidoravicius, M. E. Vares, & C. M. Newman (Eds.), Topics in Percolative and Disordered Systems (pp. 15-22). (Springer Proceedings in Mathematics and Statistics; Vol. 69). Springer New York LLC. https://doi.org/10.1007/978-1-4939-0339-9_2