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Fixation for coarsening dynamics in 2D slabs

   
@article{EJP3059,
	author = {Michael Damron and Hana Kogan and Charles Newman and Vladas Sidoravicius},
	title = {Fixation for coarsening dynamics in 2D slabs},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {Coarsening, Glauber Dynamics, Ising model},
	abstract = {We study zero-temperature Ising Glauber Dynamics, on $2D$ slabs of thickness $k \geq 2$. In this model, $\pm 1$-valued spins at integer sites update according to majority vote dynamics with two opinions. We show that all spins reaches a final state (that is, the system fixates) for $k=2$ under free boundary conditions and for $k=2$ or $3$ under periodic boundary conditions. For thicker slabs there are sites that fixate and sites that do not.},
	pages = {no. 105, 1-20},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-3059},    
        url = {http://ejp.ejpecp.org/article/view/3059}}