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NCTS Seminar on Mathematical Biology
 
14:30 - 16:30, April 19, 2019 (Friday)
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.
 


 

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