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

Journal Article · · Physical Review Letters
 [1];  [2];  [1]
  1. Ames Lab. and Iowa State Univ., Ames, IA (United States)
  2. 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

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