Generic two-phase coexistence and non-equilibrium criticality in a type-2 Schloegl model for autocatalysis on a square lattice
Date
2023-08
Authors
Shen, Zheren
Major Professor
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Evans, James W
Herzog, David
Yan, Jue
Prozorov, Ruslan
Luo, Songting
Committee Member
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ABSTRACT
Schloegl’s second model (a.k.a. the quadratic contact process) on a square lattice involves spontaneous annihilation of particles at lattice sites at rate p, and their autocatalytic creation at unoccupied sites with n 2 occupied neighbors at rate kn. KMC simulation reveals that these models exhibit a non-equilibrium discontinuous phase transition with generic two-phase co-existence: the p-value for equistability of coexisting populated and vacuum states, peq(S), depends on the orientation or slope, S, of a planar interface separating those phases. The vacuum state displaces the populated state for p > peq(S), and the opposite applies for p < peq(S) for 0
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dissertation