Publication Date

9-21-2018

Department

Ames Laboratory; Physics and Astronomy; Mathematics

Campus Units

Mathematics, Physics and Astronomy, Ames Laboratory

OSTI ID+

1477196

Report Number

IS-J 9772

DOI

10.1103/PhysRevLett.121.120603

Journal Title

Physical Review Letters

Volume Number

121

Issue Number

12

First Page

120603

Abstract

We consider Schloegl models (or contact processes) where particles on a square grid annihilate at a rate p and are created at a rate of kn=n(n−1)/[N(N−1)] at empty sites with n particles in a neighborhood ΩN of size N. Simulation reveals a discontinuous transition between populated and vacuum states, but equistable p=peq determined by the stationarity of planar interfaces between these states depends on the interface orientation and on ΩN. The behavior for large ΩN follows from continuum equations. These also depend on the interface orientation and on ΩN shape, but a unique peq=0.211 376 320 4 emerges imposing a Gibbs phase rule.

DOE Contract Number(s)

AC02-07CH11358; 105-2115-M-194-011-MY2

Language

en

Department of Energy Subject Categories

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Publisher

Iowa State University Digital Repository, Ames IA (United States)

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