Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Discontinuous Phase Transitions in Schloegl Models for Autocatalysis
Chi-Jen Wang (National Chung Cheng University)
Abstract:
We consider Schloegl models where particles on a square grid annihilate at rate

, and are created at rate

that related to

neighboring particles in

. Simulation reveals a discontinuous transition between populated and vacuum states, but equistability determined by stationarity of planar interfaces between states depends on interface orientation at least for smaller

. Behavior for large

follows from continuum equations. These depend on interface orientation and

-shape, but a unique equistability point emerges

imposing a Gibbs phase rule.