Coarsening in 2D slabs

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

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


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
Number of pages8
ISBN (Electronic)9781493903382
StatePublished - 2014
EventPan American Advanced Studies Institute, PASI 2012 - Santiago, Chile
Duration: Jan 3 2012Jan 14 2012

Publication series

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


OtherPan American Advanced Studies Institute, PASI 2012

ASJC Scopus subject areas

  • General Mathematics


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