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Nonequilibrium phase transitions and chemical instabilities

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Abstract

The effect of inhomogeneous fluctuations on instabilities in various nonlinear chemical models is studied in terms of concepts developed in the theory of equilibrium phase transitions.

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References

  1. G. Nicolis and I. Prigogine,Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).

    MATH  Google Scholar 

  2. H. Haken,Synergetics, 2nd ed. (Springer, Berlin, 1978).

    MATH  Google Scholar 

  3. S. K. Ma,Modern Theory of Critical Phenomena (Benjamin, New York, 1976).

    Google Scholar 

  4. N. N. Bogolubov,Lectures in Quantum Statistics (MacDonald, London, 1971), Vol. 2.

    Google Scholar 

  5. G. Nicolis and M. Malek-Mansour,J. Stat. Phys. 22:495 (1980).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. L. D. Landau and E. M. Lifshitz,Statistical Physics (Addison-Wesley, Reading, Mass., 1969).

    Google Scholar 

  7. S. Grossman,J. Chem. Phys. 65:2007 (1976).

    Article  ADS  Google Scholar 

  8. F. C. Schlögl,Z. Physik 253:147 (1972).

    Article  ADS  Google Scholar 

  9. G. Dewel, D. Walgraef, and P. Borckmans,Z. Physik B 28:235 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  10. G. Nicolis and J. W. Turner,Physica 89A:326 (1977).

    ADS  Google Scholar 

  11. S. Grossman and P. H. Richter,Z. Physik 242:458 (1971); B. Mühlschlegel, D. J. Scalapino, and R. Denton,Phys. Rev. B 6:1767 (1972); W. A. Smith,Phys. Rev. Lett. 32:1164 (1974).

    Article  ADS  Google Scholar 

  12. S. A. Brazovskii,Sov. Phys.-JETP 41:85 (1975).

    ADS  Google Scholar 

  13. D. Walgraef, G. Dewel, and P. Borckmans,Phys. Rev. A 21:397 (1980).

    Article  ADS  Google Scholar 

  14. F. H. Busse,Rep. Prog. Phys. 41:1930 (1978).

    Article  ADS  Google Scholar 

  15. S. Alexander and J. McTague,Phys. Rev. Lett. 41:702 (1978).

    Article  ADS  Google Scholar 

  16. J. Swift and P. C. Hohenberg,Phys. Rev. A 15:319 (1977).

    Article  ADS  Google Scholar 

  17. H. C. E. Hentschel,Z. Physik B 31:401 (1978).

    Article  ADS  Google Scholar 

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Dewel, G., Borckmans, P. & Walgraef, D. Nonequilibrium phase transitions and chemical instabilities. J Stat Phys 24, 119–137 (1981). https://doi.org/10.1007/BF01007639

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