Mathematics, Physics and Astronomy, Ames Laboratory
Journal or Book Title
Physical Review E
Schloegl's second model on a (d ≥ 2)-dimensional hypercubic lattice involves: (i) spontaneous annihilation of particles with rate p and (ii) autocatalytic creation of particles at vacant sites at a rate proportional to the number of suitable pairs of neighboring particles. This model provides a prototype for nonequilibrium discontinuous phase transitions. However, it also exhibits nontrivial generic two-phase coexistence: Stable populated and vacuum states coexist for a finite range, pf(d)
American Physical Society
Wang, Chi-Jen; Liu, Da-Jiang; and Evans, James W., "Schloegl’s second model for autocatalysis on hypercubic lattices: Dimension dependence of generic two-phase coexistence" (2012). Physics and Astronomy Publications. 184.