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.