Some comments on nonequilibrium phase transitions in chemical systems

C. Y. Mou, G. Nicolis, R. M. Mazo

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Two new approaches for investigating critical fluctuations near an instability point of unstable chemical models are proposed. The master equation approach is used. For a homogeneous system without the effect of diffusion, three single-component chemical systems exhibiting critical behavior are considered. The cumulant functions are expanded in a small parameter-the inverse size of the system-and singular perturbation solutions of the master equation are developed. Exponents describing the divergence of the second-order variance are found to be classical. For a system including diffusion effects, spatial correlations for a quasi-one-dimensional case are investigated by considering scale transformation behavior within the multivariate master equation formalism.

Original languageEnglish
Pages (from-to)19-38
Number of pages20
JournalJournal of Statistical Physics
Issue number1
Publication statusPublished - Jan 1978
Externally publishedYes


  • Chemical reactions
  • fluctuations
  • instabilities
  • master equation
  • renormalization group
  • singular perturbations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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