Abstract
We consider Schloegl models (or contact processes) where particles on a square grid annihilate at a rate and are created at a rate of at empty sites with particles in a neighborhood of size . Simulation reveals a discontinuous transition between populated and vacuum states, but equistable determined by the stationarity of planar interfaces between these states depends on the interface orientation and on . The behavior for large follows from continuum equations. These also depend on the interface orientation and on shape, but a unique emerges imposing a Gibbs phase rule.
- Received 5 April 2018
- Revised 25 July 2018
DOI:https://doi.org/10.1103/PhysRevLett.121.120603
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