Abstract
The behavior of coupled stochastic fields near a cusp bifurcation is studied. The results are applied to a thermochemical model and the possibility of observing nonclassical critidal behavior is discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. Van den Broeck, M. Malek Mansour, and F. Baras,J. Stat. Phys. 28:577 (1982); see also K. Kaneko,Prog. Theor. Phys. 66:129 (1981); C. Elphick and E. Tirapegui, inInstabilities and Nonequilibrium Structures, E. Tirapegui and D. Villarroel, eds. (Reidel, 1987).
C. Van den Broeck,J. Stat. Phys. 32:153 (1983).
F. Langouche, D. Roekaerts, and E. Tirapegui,Functional Integration and Semiclassical Expansions (Reidel, 1982), Chapter VII.
D. J. Amit,Field Theory, the Renormalization Group, and Critical Phenomena (McGraw-Hill, 1978), Chapter 6.
H. C. Brinkman,Appl. Sci. Res. A 1:27 (1947).
C. W. Gardiner,Handbook of Stochastic Methods (Springer, Berlin, 1983).
L. Landau and E. M. Lifschitz,Mécanique des Fluides (MIR, Moscow, 1971), Chapter XVII.
F. Langouche, D. Roekaerts, and E. Tirapegui,Phys. Rev. D 20:419 (1979).
D. Walgraef, G. Dewel, and P. Borckmans,Adv. Chem. Phys. 49:311 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tirapegui, E., van den Broeck, C. A thermochemical instability. II. Inhomogeneous fluctuations. J Stat Phys 50, 439–458 (1988). https://doi.org/10.1007/BF01023002
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01023002