Schloegl’s second model for autocatalysis with particle diffusion: Lattice-gas realization exhibiting generic two-phase coexistence Guo, Xiaofang Liu, Da-Jiang Evans, James Evans, James
dc.contributor.department Ames Laboratory
dc.contributor.department Physics and Astronomy
dc.contributor.department Mathematics 2018-02-17T10:36:50.000 2020-06-30T06:17:43Z 2020-06-30T06:17:43Z Thu Jan 01 00:00:00 UTC 2009 2009-01-01
dc.description.abstract <p>We analyze a discontinuous nonequilibrium phase transition between an active (or reactive) state and a poisoned (or extinguished) state occurring in a stochastic lattice-gas realization of Schloegl’s second model for autocatalysis. This realization, also known as the quadratic contact process, involves spontaneous annihilation, autocatalytic creation, and diffusion of particles on a square lattice, where creation at empty sites requires a suitable nearby pair of particles. The poisoned state exists for all annihilation rates p>0 and is an absorbing particle-free “vacuum” state. The populated active steady state exists only for p below a critical value, pe. If pf denotes the critical value below which a finite population can survive, then we show that pf</p>
dc.description.comments <p>The following article appeared in <em>Journal of Chemical Physics</em> 130, 7 (2009): 074106 and may be found at doi: <a href="" target="_blank">10.1063/1.3074308</a>.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 1196
dc.identifier.contextkey 8006479
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath physastro_pubs/199
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 22:00:54 UTC 2022
dc.source.uri 10.1063/1.3074308
dc.subject.disciplines Astrophysics and Astronomy
dc.subject.disciplines Biological and Chemical Physics
dc.subject.disciplines Mathematics
dc.subject.disciplines Physics
dc.subject.keywords Diffusion in solids
dc.subject.keywords stochastic models
dc.subject.keywords annihilation rates
dc.subject.keywords autocatalytic
dc.subject.keywords contact process
dc.subject.keywords critical values
dc.subject.keywords diffusivities
dc.subject.keywords discontinuous equilibriums
dc.subject.keywords finite populations
dc.subject.keywords lattice gas
dc.subject.keywords metastability
dc.subject.keywords non-equilibrium phase transitions
dc.subject.keywords particle diffusions
dc.subject.keywords phase coexistences
dc.subject.keywords square lattices
dc.subject.keywords thermodynamic systems
dc.title Schloegl’s second model for autocatalysis with particle diffusion: Lattice-gas realization exhibiting generic two-phase coexistence
dc.type article
dc.type.genre article
dspace.entity.type Publication
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