Abstract
We calculate the temperature and concentration fluctuations in a homogeneous thermochemical model in the vicinity of a transition point towards a multiple steady state regime. Enhanced fluctuations of 0.1% are predicted at a distance of 10−3 °K from the critical point in a volume element of 10−3 mm3.
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References
G. Nicolis and I. Prigogine,Self Organization in Non-Equilibrium Systems (Wiley, New York, 1977).
H. Haken,Synergetics. An Introduction (Springer-Verlag, Berlin, 1977).
N. G. Van Kampen,Adv. Chem. Phys. 34:245 (1976).
M. Malek Mansour, C. Van den Broeck, G. Nicolis, and J. W. Turner,Ann. Phys. (Leipzig) 131(2):283 (1981).
N. V. Kondratiev and E. E. Nikitin,Gas-Phase Reactions (Springer-Verlag, Berlin, 1981).
A. Uppal, W. H. Ray, and A. B. Poore,Chem. Eng. Soc. 29:967 (1974).
G. Nicolis, F. Baras, and M. Malek Mansour inNonlinear Phenomena in Chemical Dynamics, A. Pacault and C. Vidal, Eds. (Springer-Verlag, Berlin, 1981).
D. Beysens and M. Gbadamassi,Phys. Rev. A 22:2250 (1980).
A. Nitzan and J. Ross,J. Chem. Phys. 59(1):241 (1973).
C. Van den Broeck, M. Malek Mansour, and F. Baras,J. Stat. Phys. 28(3):557 (1982).
L. Landau, E. Lifshitz,Physique Statistique (MIR, Moscow, 1967).
J. Swift and P. C. Hohenberg,Phys. Rev. A 15(1):319 (1977).
S. Grossmann,J. Chem. Phys. 65(5):2007 (1976).
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Van den Broeck, C. Critical fluctuations in a thermochemical instability. I. Mean field description. J Stat Phys 32, 153–168 (1983). https://doi.org/10.1007/BF01009427
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DOI: https://doi.org/10.1007/BF01009427