Discontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule
Journal Article
·
· Physical Review Letters
- 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 kn=n(n–1)/[N(N–1)] at empty sites with n particles in a neighborhood ΩN of size N. Simulation reveals a discontinuous transition between populated and vacuum states, but equistable p=peq determined by the stationarity of planar interfaces between these states depends on the interface orientation and on ΩN of size N. The behavior for large ΩN of size N follows from continuum equations. These also depend on the interface orientation and on ΩN of size N shape, but a unique peq=0.211 376 320 4 emerges imposing a Gibbs phase rule.
- Research Organization:
- Ames Laboratory (AMES), Ames, IA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
- Grant/Contract Number:
- AC02-07CH11358
- OSTI ID:
- 1477196
- Alternate ID(s):
- OSTI ID: 1471788
- Report Number(s):
- IS-J--9772; {"","Journal ID: ISSN 0031-9007","Journal ID: ISSN PRLTAO"}
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 121; ISSN 0031-9007; ISSN PRLTAO
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Entropic long-range ordering in an adsorption-desorption model
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journal | June 2019 |
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