Exclusion process and droplet shape View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1986-08

AUTHORS

J. -P. Marchand, Ph. A. Martin

ABSTRACT

We use a mathematical isomorphism between the one-dimensional exclusion process and the two-dimensional stochastic Ising model in the low-temperature limit to describe the typical instantaneous shape of a supercritical droplet. We derive, specifically, the exact asymptotic distribution of the boundaries of a (+1) spin region, confined to Z+2 and subjected to a positive magnetic field. In an appropriate scaling, the boundary distribution converges to a deterministic continuum limit. More... »

PAGES

491-504

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01011307

DOI

http://dx.doi.org/10.1007/bf01011307

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1046962617


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