Discontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule

Liu, Da -Jiang; Wang, Chi -Jen; Evans, James W.

doi:10.1103/PhysRevLett.121.120603

Title: Discontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule

Journal Article · 21 September 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.121.120603 · OSTI ID:1477196

Liu, Da -Jiang ^[1]; Wang, Chi -Jen ^[2]; Evans, James W. ^[1]

Ames Lab. and Iowa State Univ., Ames, IA (United States)
National Chung Cheng Univ., Chiayi (Taiwan)

Here, we consider Schloegl models (or contact processes) where particles on a square grid annihilate at a rate p and are created at a rate of k_n=n(n–1)/[N(N–1)] at empty sites with n particles in a neighborhood Ω_N of size N. Simulation reveals a discontinuous transition between populated and vacuum states, but equistable p=p_eq determined by the stationarity of planar interfaces between these states depends on the interface orientation and on Ω_N of size N. The behavior for large Ω_N of size N follows from continuum equations. These also depend on the interface orientation and on Ω_N of size N shape, but a unique p_eq=0.211 376 320 4 emerges imposing a Gibbs phase rule.

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Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-07CH11358; 105-2115-M-194-011-MY2

OSTI ID:: 1477196

Alternate ID(s):: OSTI ID: 1471788

Report Number(s):: IS-J-9772; PRLTAO

Journal Information:: Physical Review Letters, Vol. 121, Issue 12; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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