Coarsening in 2D slabs

Michael Damron, Hana Kogan, Charles 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
PublisherSpringer New York LLC
Pages15-22
Number of pages8
Volume69
ISBN (Print)9781493903382
DOIs
StatePublished - 2014
EventPan American Advanced Studies Institute, PASI 2012 - Santiago, Chile
Duration: Jan 3 2012Jan 14 2012

Other

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

Fingerprint

Coarsening
Periodic Boundary Conditions
Glauber Dynamics
Free Boundary
Ising Model
Standard Model
Boundary conditions
Zero

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Damron, M., Kogan, H., Newman, C., & Sidoravicius, V. (2014). Coarsening in 2D slabs. In Topics in Percolative and Disordered Systems (Vol. 69, pp. 15-22). Springer New York LLC. https://doi.org/10.1007/978-1-4939-0339-9_2

Coarsening in 2D slabs. / Damron, Michael; Kogan, Hana; Newman, Charles; Sidoravicius, Vladas.

Topics in Percolative and Disordered Systems. Vol. 69 Springer New York LLC, 2014. p. 15-22.

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

Damron, M, Kogan, H, Newman, C & Sidoravicius, V 2014, Coarsening in 2D slabs. in Topics in Percolative and Disordered Systems. vol. 69, Springer New York LLC, pp. 15-22, Pan American Advanced Studies Institute, PASI 2012, Santiago, Chile, 1/3/12. https://doi.org/10.1007/978-1-4939-0339-9_2
Damron M, Kogan H, Newman C, Sidoravicius V. Coarsening in 2D slabs. In Topics in Percolative and Disordered Systems. Vol. 69. Springer New York LLC. 2014. p. 15-22 https://doi.org/10.1007/978-1-4939-0339-9_2
Damron, Michael ; Kogan, Hana ; Newman, Charles ; Sidoravicius, Vladas. / Coarsening in 2D slabs. Topics in Percolative and Disordered Systems. Vol. 69 Springer New York LLC, 2014. pp. 15-22
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