caa a22 4500 44539109X CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0288-6 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0288-6 Schloegl's Second Model for Autocatalysis on a Cubic Lattice: Mean-Field-Type Discrete Reaction-Diffusion Equation Analysis [Elektronische Daten] [Chi-Jen Wang, Xiaofang Guo, Da-Jiang Liu, J. Evans] Schloegl's second model for autocatalysis on a hypercubic lattice of dimension d≥2 involves: (i) spontaneous annihilation of particles at lattice sites with rate p; and (ii) autocatalytic creation of particles at vacant sites at a rate proportional to the number of diagonal pairs of particles on neighboring sites. Kinetic Monte Carlo simulations for a d=3 cubic lattice reveal a discontinuous transition from a populated state to a vacuum state as p increases above p=p e . However, stationary points, p=p eq (≤p e ), for planar interfaces separating these states depend on interface orientation. Our focus is on analysis of interface dynamics via discrete reaction-diffusion equations (dRDE's) obtained from mean-field type approximations to the exact master equations for spatially inhomogeneous states. These dRDE can display propagation failure absent due to fluctuations in the stochastic model. However, accounting for this anomaly, dRDE analysis elucidates exact behavior with quantitative accuracy for higher-level approximations. Springer Science+Business Media, LLC, 2011 Schloegl's second model nationallicence Generic two-phase coexistence nationallicence Discrete reaction-diffusion equations nationallicence Interface propagation nationallicence Wang Chi-Jen Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut Guo Xiaofang Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut Liu Da-Jiang Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut Evans J. Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/6(2011-09-01), 1308-1328 0022-4715 144:6<1308 2011 144 10955 https://doi.org/10.1007/s10955-011-0288-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0288-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Chi-Jen Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut NATIONALLICENCE 700 1- Guo Xiaofang Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut NATIONALLICENCE 700 1- Liu Da-Jiang Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut NATIONALLICENCE 700 1- Evans J. Ames Laboratory—USDOE, Iowa State University, 50011, Ames, IA, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/6(2011-09-01), 1308-1328 0022-4715 144:6<1308 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer