Abstract
We present a general theory of the Brillouin lines in a fluid subject to a strong stationary heat flux. The combined effects of sound-absorbing walls and of large spatial inhomogeneities induced by the temperature gradient are computed for the first time. Nonequilibrium sound modes, constructed by WKB techniques, are used. No restrictions have to be made in the theory concerning the scattering geometry and the thermal equations of state.
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R. Schmitz and E. G. D. Cohen,J. Stat. Phys. 39:285 (1985).
R. Schmitz,Fluid Dynamics Trans. (Poland)13 (1987).
R. Schmitz and E. G. D. Cohen,J. Stat. Phys. 40:431 (1985).
I. Procaccia, D. Ronis, and I. Oppenheim,Phys. Rev. Lett. 42:287 (1979); D. Ronis, I. Procaccia, and I. Oppenheim,Phys. Rev. A 19:1324 (1979); D. Ronis and S. Putterman,Phys. Rev. A 22:733 (1980).
T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman,Phys. Rev. Lett. 42:862 (1979);44:472 (1980);Phys. Rev. A 26:972 (1982).
A.-M. S. Tremblay, E. Siggia, and M. Arai,Phys. Lett. 76A:57 (1980);Phys. Rev. A 23:1451 (1981).
G. van der Zwan, D. Bedeaux, and P. Mazur,Physica 107A:491 (1981).
J. Dufty, inSpectral Line Shapes, B. Wende, ed. (de Gruyter, Berlin, 1981), p. 1143.
L. S. Garcia-Colin and R. M. Velasco,Phys. Rev. A 26:2187 (1982).
G. Satten and D. Ronis,Phys. Rev. A 26:940 (1982).
T. R. Kirkpatrick, E. G. D. Cohen and J. R. Dorfman,Phys. Rev. A 26:972 (1982), Appendix C.
D. Beysens, Y. Garrabos, and G. Zalczer,Phys. Rev. Lett. 45:403 (1980); D. Beysens, in Nonlinear Fluid Behavior, H. J. M. Hanley, ed.,Physica 118A:250 (1983).
H. Kiefte, M. J. Clouter, and R. Penney,Phys. Rev. B 30:4017 (1984).
T. R. Kirkpatrick and E. G. D. Cohen,Phys. Lett. 78A:350 (1980); T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman,Phys. Rev. A 26:995 (1982).
R. Schmitz, to be published.
R. Schmitz,Phys. Rep. (1987).
R. Schmitz and E. G. D. Cohen,Phys. Rev. A, (1987).
B. J. Berne and R. Pecora, inDynamic Light Scattering (Wiley, New York, 1976), Chapters 2–4.
T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman,Phys. Rev. A 26:950 (1982).
P. M. Morse and K. U. Ingard, inHandbuch der Physik, Vol. XI/1, S. Flügge, ed. (Springer, Berlin, 1961), p. 16.
G. B. Whitham, inLinear and Nonlinear Waves (Wiley, New York, 1974), p. 250.
M. Abramowitz and A. Stegun, inHandbook of Mathematical Functions (Dover, 1972), Chapter 4.
I. S. Gradshteyn and I. M. Ryzhik, inTables of Integrals, Series and Products (Academic Press, 1980), p. 40, formulas I-445.1, 2.
A.-M. S. Tremblay, inRecent Developments in Nonequilibrium Thermodynamics, J. Casas-Vázques, D. Jou, and G. Lebon, eds. (Lecture Notes in Physics, 199, Springer, 1983), p. 282.
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Schmitz, R., Cohen, E.G.D. Fluctuations in a fluid under a stationary heat flux. III. Brillouin lines. J Stat Phys 46, 319–348 (1987). https://doi.org/10.1007/BF01010349
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DOI: https://doi.org/10.1007/BF01010349