Rigorous derivation of domain growth kinetics without conservation laws View Full Text


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Article Info

DATE

1990-02

AUTHORS

Daniel Kandel, Eytan Domany

ABSTRACT

The time evolution of the Ising model that describes shrinking domains is studied. A singly connected domain of Ising spins, embedded in a sea of the opposite phase, develops atT=0 according to a dynamic rule that does not allow its perimeter to increase. At long enough times the domain disappears; we show that the average lifetime of such a domain is proportional to its area. We also consider theT=0 dynamics of a single infinite quadrant. The area of the quadrant decreases during the time evolution, and we show that the area lost grows linearly with time. We solve a first passage time problem as well. That is, we calculate the average time it takes for the area lost to reach a given value for the first time. Lastly, we map the infinite quadrant model onto a diffusion problem with exclusion in one dimension. This latter problem is mapped onto a critical six-vertex model. More... »

PAGES

685-706

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01112771

DOI

http://dx.doi.org/10.1007/bf01112771

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1051447871


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