Hydrodynamic Fluctuations in Fluids and Fluid Mixtures

Hydrodynamic Fluctuations in Fluids and Fluid Mixtures

Volumn , Issue , 2006, Pages 1-309

  Ortiz de Zárate, José M ^a   Sengers, Jan V ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85144451087     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-444-51515-5.X5000-5     Document Type: Book

References (327)

1. B.J. Ackerson and H.J.M. Hanley (1980) Rayleigh scattering from a methane-ethane mixture. J. Chem. Phys. 73 3568
2. G. Ahlers (1980) Effect of departures from the Oberbeck-Boussinesq ap-proximation on the heat transport of horizontal convecting fluid layers. J. Fluid Mech. 98 137. Part
3. G. Ahlers (1991) Experiments with pattern-forming systems. Physica D 51 421
4. G. Ahlers, M.C. Cross, P.C. Hohenberg and S. Safran (1981) The amplitude equation near the convective threshold: application to time-dependent heating experiments. J. Fluid Mech. 110 297
5. B.J. Alder and T. Wainwright (1970) Decay of velocity autocorrelation func-tions. Phys. Rev. A 1 18
6. C. Allain, H.Z. Cummins and P. Lallemand (1978) Critical slowing down near the Rayleigh-Bénard convective instability. J. Physique (Paris) Lettres 39 L473
7. G.R. Alms, T.D. Gierke and G.D. Patterson (1977) Observation and analysis of the depolarized Rayleigh doublet in isotropic MBB A and measurement of the de Gennes viscosity coefficients. J. Chem. Phys. 67 5779
8. M.A. Anisimov, V.A. Agayan, A.A. Povodyrev, J.V. Sengers and E.E. Gorodet-skii (1998) Two-exponential decay of dynamic light scattering in near-critical fluid mixtures. Phys. Rev. E 57 1946
9. F. Baras, M. Malek Mansour and J.E. Pearson (1996) Microscopic simulation of chemical bistability in homogeneous systems. J. Chem. Phys. 105 8257
10. J.-L. Barrat and J.-P. Hansen (2003) Basic Concepts for Simple and Complex Liquids. Cambridge: Cambridge University Press 273
11. G.K. Batchelor (1967) An Introduction to Fluid Dynamics. Cambridge: Cambridge Univ. Press
12. D. Bedeaux and P. Mazur (1974) Renormalization of the diffusion coeffcient in a fluctuating field. Physica 73 431
13. D. Bedeaux and L. Oppenheim (1978) Hydrodynamic response and free surface modes for two immiscible fluids. Physica 90A 39
14. R. Behringer and G. Ahlers (1977) Heat transport and critical slowing down near the Rayleigh-Bénard instability in cylindrical containers 329. Phys. Lett. 62A
15. D. Belitz, T.R. Kirkpatrick and T. Votja (2005) Influence of generic scale invariance on classical and quantum phase transitions. Rev. Mod. Phys. 77 579
16. B.J. Berne and H.L. Frisch (1967) Light scattering as a probe of fast reaction kinetics. J. Chem. Phys. 47 3675
17. B.J. Berne and R. Pecora (1976) Dynamic Light Scattering. New York: Wiley Dover edition, 2000
18. M.V. Berry and E. Bodenschatz (1999) Caustics, multiply reconstructed by Talbot interference. J. Modern Optics 46 349
19. D. Beysens (1983) Fluctuations anisotropy arising from velocity or temper-ature gradients 250. Phyica 118A
20. D. Beysens, Y. Garrabos and G. Zalczer (1980) Experimental evidence for Brillouin asymmetry induced by a temperature gradient. Phys. Rev. Lett. 45 403
21. R.B. Bird, R.C. Armstrong and O. Hassager (1986) Fluid Mechanics 2nd Ed. Dynamics of Polymeric Liquids Volume 1 New York: Wiley
22. R.B. Bird, W.E. Stewart and E.N. Lightfoot (2002) Transport Phenomena. 2nd Ed. New York: Wiley
23. U. Bisang and G. Ahlers (1998) Thermal fluctuations, subcritical bifurcation, and nucleation of localized states in electroconvection. Phys. Rev. Lett. 80 3061
24. M. Bixon and R. Zwanzig (1969) Boltzmann-Langevin equation and hydrody-namic fluctuations. Phys. Rev. 187 267
25. L. Blum and Z.W. Salsbury (1969) Light scattering from chemically reactive systems. II. Case with diffusion. J. Chem. Phys. 50 1654
26. E. Bodenschatz, J.R. de Bruyn, G. Ahlers and D.S. Cannell (1991) Transi-tions between patterns in thermal convection. Phys. Rev. Lett. 67 3078
27. E. Bodenschatz, W. Pesch and G. Ahlers (2000) Recent developments in Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 32 709
28. E. Bodenschatz, W. Zimmermann and L. Kramer (1988) On electrically driven pattern-forming instabilities in planar nematics. J. Physique (Paris) 49 1875
29. N.N. Bogoliubov (1946) J. Phys. (USSR) 10 256
30. N.N. Bogoliubov (1946) J. Phys. (USSR) 10 256
31. N.N. Bogoliubov (1962) Problems of a dynamical theory in statistical physics. J. de Boer, G.E. Uhlenbeck,(Eds) Studies in Statistical Mechanics I Amsterdam: North-Holland 5-118. Part A
32. J.P. Boon, C. Allain and P. Lallemand (1979) Propagating thermal modes in a fluid under thermal constraint. Phys. Rev. Lett. 43 199
33. J.P. Boon and S. Yip (1980) Molecular Hydrodynamics. New York: McGraw-Hill Dover edition, 1991
34. M. Born and E. Wolf (1989) Principles of Optics. 6th Ed Oxford: Pergamon
35. H. Brenner (2005) Kinematics of volume transport. Physica A 349 11
36. H. Brenner (2005) Navier-Stokes revisited. Physica A 349 60
37. H.-P. Breuer and F. Petruccione (1994) A master equation approach to fluc-tuating hydrodynamics: Heat conduction. Phys. Lett. A 185 385
38. D. Brogioli, A. Vailati and M. Giglio (2000) Giant fluctuations in diffusion processes. J. Phys.: Condens. Matter 12 A39
39. D. Brogioli, A. Vailati and M. Giglio (2000) Universal behavior of nonequi-librium fluctuations in free diffusion processes. Phys. Rev. E 61 Rl
40. D. Brogioli, A. Vailati and M. Giglio (1903) A schlieren method for ultra-low-angle light scattering measurements. Europhys. Lett. 63 220
41. S.G. Brush (1972) Kinetic Theory Vol. 3 New York: Pergamon
42. J.M. Burgers (1974) The Nonlinear Diffusion Equation: Asymptotic Solutions and Statistical Problems. Dordrecht-Holland: D. Reidel Pub. Co
43. F.H. Busse (1967) Stability of finite amplitude cellular convection and its relation to an extremum principle. J. Fluid Mech. 30 625
44. J.F. Camacho, H. Hijar and R.F. Rodriguez (2005) Hydrodynamic correla-tion functions for a nematic liquid crystal in a stationary state. Physica A 348 252
45. V. Castets, E. Dulos, J. Boissonade and P. de Kepper (1990) Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern. Phys. Rev. Lett. 64 2953
46. S. Chandrasekhar (1961) Hydrodynamic and Hydromagnetic Stability. Oxford: Oxford Univ. Press Dover edition
47. J.R. Chasnov and K.L. Lee (2001) Turbulent penetrative convection with an internal heat source. Fluid Dyn. Res. 28 397
48. I.L. Chistyi (1977) Tr. Fiz. Inst. Akad. Nauk SSSR 102 129
49. A.R. Choudhuri (1998) The Physics of Fluids and Plasmas: An Introduction for Astrophysicists. Cambridge: Cambridge Univ. Press
50. Chu (1991) Laser Light Scattering: Basic Principles and Practice. 2nd Ed. Boston: Academic Press
51. D.S. Chung, K.Y.C. Lee and E. Mazur (1988) Light scattering from non-equilibrium interfaces. Int. J. Thermophys. 9 729
52. D.S. Chung, K.Y.C. Lee and E. Mazur (1990) Spectral asymmetry in the light scattered from a nonequilibrium liquid interface. Phys. Lett. A 145 348
53. P. Cicuta, A. Vailati and M. Giglio (2000) Equilibrium and nonequilibrium fluctuations at the interface between two fluid phases. Phys. Rev. E 62 4920
54. C. Cohen, J.W.H. Sutherland and J.M. Deutch (1971) Hydrodynamic cor-relation functions for binary mixtures. Phys. Chem. Liquids 2 213
55. E.R. Cohen and P. Giacomo (1987) Symbols units, nomenclature and funda-mental constants in physics. Physica 146A 1
56. R. Courant and D. Hubert (1953) Methods of Mathematical Physics. New York: Wiley Wiley Classics Library edition
57. G.E. Crooks (2000) Path-ensemble averages in systems driven far from equilibrium. Phys. Rev. E 61 2361
58. M.C. Cross (1980) Derivation of the amplitude equation at the Rayleigh-Bénard instability. Phys. Fluids 23 1727
59. M.C. Cross and P.C. Hohenberg (1993) Pattern formation outside of equilib-rium. Rev. Mod. Phys. 65 851
60. M.C. Cross and K. Kim (1988) Linear instability and the codimension-2 region in binary fluid convection between rigid impermeable boundaries. Phys. Rev. A 37 3909
61. L.F. Cugliandolo, J. Kurchan and L. Peliti (1997) Energy flow, partial equili-bration, and effective temperatures in systems with slow dynamics. Phys. Rev. E 55 3898
62. J.R. de Bruyn, E. Bodenschatz, S.W. Morris, S.P. Trainoff, Y. Hu, D.S. Cannell and G. Ahlers (1996) Apparatus for the study of Rayleigh-Bénard convection in gases under pressure. Rev. Sci. Instrum. 67 2043
63. J.E. de Freitas, L.S. Lucena, L.R. da Silva and H.J. Hilhorst (2000) Critical behavior of a two-species reaction-diffusion problem. Phys. Rev. E 61 6330
64. P.G. de Gennes and J. Prost (1993) The Physics of Liquid Crystals. Oxford: Clarendon Press
65. V. de Giorgio (1978) Dynamics of convective instabilities in a horizontal liquid layer. Phys. Rev. Lett. 41 1293
66. S.R. de Groot and P. Mazur (1962) Non-Equilibrium Thermodynamics. Amsterdam: North-Holland Dover edition
67. Y. Demirel (2002) Nonequilibrium Thermodynamics. Amsterdam: Elsevier
68. M.M. Denn (2004) Fifty years of non-newtonian fluid dynamics. AIChE J. 50 2335
69. M. Dennin, M. Treiber, L. Kramer, G. Ahlers and D.S. Cannell (1996) Origin of travelling rolls in electroconvection of nematic liquid crystals. Phys. Rev. Lett. 76 319
70. B. Derrida, J.L. Lebowitz and E.R. Speer (2001) Free energy functional for nonequilibrium systems: an exactly solvable case. Phys. Rev. Lett. 87 150601
71. B. Derrida, J.L. Lebowitz and E.R. Speer (2002) Exact free energy functional for a driven diffusive open stationary nonequilibrium system. Phys. Rev. Lett. 89 030601
72. M.A. Dominguez Lerma, G. Ahlers and D.S. Cannell (1984) Marginal sta-bility curve and linear growth rate for rotating Couette-Taylor flow and Rayleigh-Bénard convection. Phys. Fluids 27 856
73. J.R. Dorfman (1975) Kinetic and hydrodynamic theory of time correlation functions. E.G.D. Cohen,(Eds) Fundamental Problems in Statistical Mechanics Vol. 3 Amsterdam: North-Holland 277-330
74. J.R. Dorfman and E.G.D. Cohen (1967) Difficulties in the kinetic theory of gases. J. Math. Phys. 8 282
75. J.R. Dorfman and E.G.D. Cohen (1970) Velocity-correlation functions in two and three dimensions. Phys. Rev. Lett. 25 1257
76. J.R. Dorfman and E.G.D. Cohen (1975) Velocity-correlation functions in two and three dimensions. II. Higher density. Phys. Rev. A 12 292
77. J.R. Dorfman, T.R. Kirkpatrick and J.V. Sengers (1994) Generic long-range correlations in molecular fluids. Annu. Rev. Phys. Chem. 45 213
78. M. Dubois and P. Bergé (1971) Experimental study of Rayleigh scattering related to concentration fluctuations in binary solutions: Evidence of a departure from ideality. Phys. Rev. Lett. 26 121
79. A. Einstein (1910) Theorie der Opaleszenz von homogenen Flüssigkeiten und Flüssigkeitsgemischen in der Nähe des kritischen Zustandes. Annalen der Physik 33 1275
80. M.H. Ernst (2005) Universal power law tails of time correlation functions. Phys. Rev. E 71 030101
81. M.H. Ernst, E.H. Hauge and J.M.J. van Leeuwen (1971) Asymptotic time behavior of correlation functions. 1. Kinetic terms. Phys. Rev. A 4 2055
82. M.H. Ernst, E.H. Hauge and J.M.J. van Leeuwen (1976) Asymptotic time behavior of correlation functions. 2. Kinetic and potential terms. J. S tat. Phys. 15 7
83. M.H. Ernst, E.H. Hauge and J.M.J. van Leeuwen (1976) Asymptotic time behavior of correlation functions. 3. Local equilibrium and mode-coupling theory. J. Stat. Phys. 15 23
84. D.J. Evans and D.J. Searles (2002) The fluctuation theorem. Adv. Phys. 51 1529
85. I.L. Fabelinskii (1965) Molecular Scattering of Light. Moscow: Nauka
86. I.L. Fabelinskii (1994) Spectra of molecular ligth scattering and some of their applications. Physics-Uspekhi 37 821
87. M.E. Fisher (1964) Correlation functions and the critical region of simple fluids. J. Math. Phys. 5 944
88. D.D. Fitts (1962) Nonequilibrium Thermodynamics. New York: McGraw-Hill
89. M. Fixman (1967) Transport coefficients in the gas critical region. J. Chem. Phys. 47 2808
90. P.A. Fleury and J.P. Boon (1969) Brillouin scattering in simple liquids: Argon and neon. Phys. Rev. 186 244
91. J. Foch (1971) Stochastic equations for fluid mixtures. Phys. Fluids 14 893
92. D. Forster (1975) Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions. W.A. Benjamin (Eds) Vol. 47 of Frontiers in Physics Reading, MS. Advanced Book Classics (Westview Press) edition
93. R.F. Fox (1982) Testing theories of non-equilibrium processes with light-scattering techniques. J. Phys. Chem. 86 2812
94. R.F. Fox (1984) Theoretical analysis of long-time-tail observations by light scattering off polystyrene spheres. Phys. Rev. A 30 2590
95. R.F. Fox and G.E. Uhlenbeck (1970) Contributions to non-equilibrium ther-modynamics. I. Theory of hydrodynamical fluctuations. Phys. Fluids 13 1893
96. R.F. Fox and G.E. Uhlenbeck (1970) Contributions to non-equilibrium ther-modynamics. II. Fluctuation theory for Boltzmann equation. Phys. Fluids 13 2881
97. A.P. Fröba and A. Leipertz (2003) Accurate determination of liquid viscosity and surface tension using surface light scattering (SLS) : Toluene under saturation conditions between 260 and 380 K. Int. J. Thermophys. 24 895
98. A.P. Fröba, S. Will and A. Leipertz (2000) Diffusion modes of an equimolar methane-ethane mixture from dynamic light scattering. Int. J. Thermo-phys. 21 603
99. U.L. Fulco, D.N. Messias and M.L. Lyra (2001) Critical behavior of a one-dimensional diffusive epidemic process. Phys. Rev. E 63 066118
100. G. Gallavotti and E.G.D. Cohen (1995) Dynamic ensembles in nonequilib-r+ium statistical mechanics. Phys. Rev. Lett. 74 2694
101. G. Gallavotti and E.G.D. Cohen (1995) Dynamical ensembles in stationary states. J. Stat. Phys. 80 931
102. A.L. Garcia, M. Malek Mansour, G.C. Lie and E. Clementi (1987) Numerical integration of the fluctuating hydrodynamics equations. J. Stat. Phys. 47 209
103. L.S. García-Colín (1995) Extended irreversible thermodynamics-an un-finished task. Mol. Phys. 86 697
104. L.S. García-Colín and R.M. Velasco (1982) Modified Navier-Stokes model for nonequilibrium stationary states. Phys. Rev. A 26 2187
105. J. Garcia Ojalvo, A. Hernandez Machado and J.M. Sancho (1993) Effects of external noise on the Swift-Hohenberg equation. Phys. Rev. Lett. 71 1542
106. J. Garcia Ojalvo and J.M. Sancho (1999) Noise in Spatially Extended Systems. New York: Springer
107. C.W. Gardiner (1985) Handbook of Stochastic Methods. 2nd Ed. Berlin: Springer
108. C.W. Gardiner and S. Chaturvedi (1977) The Poisson representation. I. A new technique for chemical master equation. J. Stat. Phys. 17 429
109. P.L. Garrido, J.L. Lebowitz, C. Maes and H. Spohn (1990) Long-range correlations for conservative dynamics. Phys. Rev. A 42 1954
110. M. Giglio and A. Vendramini (1977) Buoyancy-driven instability in a dilute solution of macromolecules. Phys. Rev. Lett. 39 1014
111. D.T. Gillespie (2000) The chemical Langevin equation. J. Chem. Phys. 113 297
112. D.T. Gillespie (1901) Approximate accelerated stochastic simulation of chemically reacting systems. J. Chem. Phys. 115 1716
113. P. Glansdorff and I. Prigogine (1971) Structure, Stability and Fluctuations. London: Wiley Inter science
114. I.S. Gradstein and I.M. Ryzhik (1994) Table of Integrals, Series, and Products. 5th Ed San Diego: Academic Press
115. R. Graham (1974) Hydrodynamic fluctuations near the convection instabil-ity. Phys. Rev. A 10 1762
116. R. Graham and H. Pleiner (1975) Mode-coupling theory of the heat convection threshold. Phys. Fluids 18 130
117. M. Grant and R.C. Desai (1983) Fluctuating hydrodynamics and capillary waves. Phys. Rev. A. 27 2577
118. D.D. Gray and A. Giorgini (1976) The validity of the Boussinesq approxima-tion for liquids and gases. Int. J. Heat Mass Transfer 19 545
119. G. Grinstein (1991) Generic scale-invariance in classical nonequilibrium sys-tems. J. Appl. Phys. 69 5441
120. S. Grossmann (1976) Langevin forces in chemically reacting multicompo-nent fluids. J. Chem. Phys. 65 2007
121. R. Haase (1969) Thermodynamics of Irreversible Processes. Reading MA.: Addison-Wesley Dover edition
122. J.P. Hansen and I.R. McDonald (1986) Theory of Simple liquids. 2nd Ed. London: Academic Press
123. K. Hattori, K. Sakai and K. Takagi (1996) Brillouin scattering under a tem-perature gradient. Physica B 220 553
124. K. Hattori, K. Sakai and K. Takagi (1998) Low-angle Brillouin scattering under a temperature gradient. J. Phys.: Condens. Matter 10 3333
125. P.C. Hohenberg and B.L. Halperin (1977) Theory of dynamic critical phe-nomena. Rev. Mod. Phys. 49 435
126. P.C. Hohenberg and J.B. Swift (1992) Effects of additive noise at the onset of Rayleigh-Bénard convection. Phys. Rev. A 46 4773
127. S. Hollinger and M. Lücke (1998) Influence of the Soret effect on convection of binary fluids. Phys. Rev. E 57 4238
128. S. Hollinger, M. Lücke and H.W. Müller (1998) Model for convection in binary liquids. Phys. Rev. E 57 4250
129. W. Hort, S.J. Linz and M. Lücke (1992) Onset of convection in binary gas mixtures: Role of the Dufour effect. Phys. Rev. A 45 3737
130. H.K. Janssen (2001) Comment on “Critical behavior of a two-species reaction-diffusion problem”. Phys. Rev. E 64 050101
131. C. Jarzynski (1997) Nonequilibrium entropy for free energy differences. Phys. Rev. Lett. 78 2690
132. C. Jarzynski (2001) How does a system respond when driven away from thermal equilibrium? PNAS 98 3636
133. C. Jarzynski (2002) What is the microscopic response of a system driven far away from equilibrium? P. Garbaczewski, R. Olkiewicz,(Eds) Dynamics of Dissipation. Vol. 597 of Lecture Notes in Physics Berlin: Springer 63-82
134. H. Jeffreys (1926) The stability of a layer of fluid heated from below. Phil. Mag. 7(2), 833
135. D. Jou, J. Casas-Vázquez and G. Lebon (1993) Extended Irreversible Thermodynamics. Heidelberg: Springer
136. D. Jou, M. Criado-Sancho and J. Casas-Vázquez (2005) Nonequilibrium tem-perature and fluctuation-dissipation in flowing gases. Physica A 358 49
137. L.P. Kadanoff and J. Swift (1968) Transport coefficients near the liquid-gas critical point. Phys. Rev. 166 89
138. M. Kandar, G. Parisi and Y. Zhang (1986) Dynamic scaling of growing inter-faces. Phys. Rev. Lett. 56 889 892
139. T. Kato (1980) Perturbation theory for linear operators. 2nd Ed. New York: Springer
140. E. Katzav and M. Schwartz (1904) Numerical evidence for stretched exponen-tial relaxations in the Kandar-Parisi-Zhang equation. Phys. Rev. E 69 052603
141. K. Kawasaki (1970) Kinetic equations and time correlation functions of critical fluctuations. Ann. Phys. (NY) 61 1
142. K. Kawasaki (1976) Mode coupling and critical dynamics. C. Domb, M.S. Green,(Eds) Phase Transitions and Critical Phenomena Vol 5A New York: Academic 165
143. J. Keizer (1978) A theory of spontaneous fluctuations in viscous fluids far from equilibrium. Phys. Fluids 21 198
144. H. Kiefte, M.J. Clouter and R. Penney (1984) Experimental confirmation of nonequilibrium steady-state theory: Brillouin scattering in a temperature gradient. Phys. Rev. B 30 4017
145. T.R. Kirkpatrick, D. Belitz and J.V. Sengers (2002) Long-time tails, weak localization, and classical and quantum critical behavior. J. Stat. Phys. 109 373
146. T.R. Kirkpatrick and E.G.D. Cohen (1983) Kinetic theory of fluctuations near a convective instability. J. Stat. Phys. 33 639
147. T.R. Kirkpatrick, E.G.D. Cohen and J.R. Dorfman (1979) Kinetic-theory of light-scattering from a fluid not in equilibrium. Phys. Rev. Lett. 42 862
148. T.R. Kirkpatrick, E.G.D. Cohen and J.R. Dorfman (1980) Hydrodynamic theory of light scattering from a fluid in a nonequilibrium steady state. Phys. Rev. Lett. 44 472
149. T.R. Kirkpatrick, E.G.D. Cohen and J.R. Dorfman (1982) Fluctuations in a nonequilibrium steady state; Basic equations. Phys. Rev. A 26 950
150. T.R. Kirkpatrick, E.G.D. Cohen and J.R. Dorfman (1982) Light scattering by a fluid in a nonequilibrium steady state. II. Large gradients. Phys. Rev. A 26 995
151. L.F. Ko and E.G.D. Cohen (1987) Propagating viscous modes in a Taylor-Couette system. Phys. Lett. A 125 231
152. W. Köhler and B. Müller (1995) Soret and mass diffusion coefficients of toluene/n-hexane mixtures. J. Chem. Phys. 103 4367
153. Thermal Nonequilibrium Phenomena in Fluid Mixtures. Vol. 584 of Lecture Notes in Physics Berlin: Springer
154. N.A. Krall and A.W. Trivelpiece (1973) Principles of Plasma Physics. New York: McGraw-Hill
155. L. Kramer and W. Pesh (1995) Convection instabilities in nematic liquid crys-tals. Annu. Rev. Fluid Mech. 27 515
156. R. Kree, B. Schaub and B. Schmittmann (1989) Effects of pollution on critical population dynamics. Phys. Rev. A 39 2214
157. R. Kubo, M. Toda and N. Hatshitsume (1991) Statistical Physics II. Nonequilibrium Statistical Mechanics. 2nd Ed. Berlin: Springer
158. A. La Porta and C.M. Surko (1998) Convective instability in a fluid mixture heated from above. Phys. Rev. Lett. 80 3759
159. P. Lallemand and C. Allain (1980) Propagative thermal excitations in a strat-ified fluid layer. J. Physique (Paris) 41 1
160. L.D. Landau and E.M. Lifshitz (1958) Statistical Physics. London: Pergamon Part I
161. L.D. Landau and E.M. Lifshitz (1959) Fluid Mechanics. London: Pergamon 2nd revised English version
162. G.S. Landsberg and A.A. Shubin (1939) Zh. Eksp. Teor. Fiz. 9 1309
163. B.M. Law, R.W. Gammon and J.V. Sengers (1988) Light-scattering obser-vations of long-range correlations in a nonequilibrium liquid. Phys. Rev. Lett. 60 1554
164. B.M. Law and J.C. Nieuwoudt (1989) Noncritical liquid mixtures far from equilibrium: The Rayleigh line. Phys. Rev. A 40 3880
165. B.M. Law, P.N. Segrè, R.W. Gammon and J.V. Sengers (1990) Light-scattering measurements of entropy and viscous fluctuations in a liquid far from equilibrium. Phys. Rev. A 41 816
166. B.M. Law and J.V. Sengers (1989) Fluctuations in fluids out of thermal equilibrium. J. Stat. Phys. 57 531
167. J.C. Legros, J.K. Platten and P.G. Poty (1972) Stability of a two-component fluid layer heated from below. Phys. Fluids 15 1383
168. A. Leipertz (1988) Transport properties of transparent liquids by photon-correlation spectroscopy. Int. J. Thermophys. 9 897
169. H.N.W. Lekkerkerker and W.G. Laidlaw (1977) Pretransitional effects near the convective instability in binary mixtures. J. Physique (Paris) 38 1
170. M.A. Leontovich (1935) Dokl. Akad. Nauk SSSR 1 97
171. V.G. Levich (1962) Physicochemical Hydrodynamics. Englewood Cliffs, NJ: Prentice Hall
172. O. Lhost, S.J. Linz and H.W. Müller (1991) Onset of convection in binary liquid mixtures: improved Galerkin approximations. J. Physique (Paris) II 1 279
173. W.B. Li, P.N. Segrè, R.W. Gammon and J.V. Sengers (1994) Small-angle Rayleigh scattering from nonequilibrium fluctuations in liquids and liquid mixtures. Physica A 204 399
174. W.B. Li, P.N. Segrè, J.V. Sengers and R.W. Gammon (1994) Nonequilib-rium fluctuations in liquids and liquids mixtures subjected to a stationary temperature gradient. J. Phys.: Condens. Matter 6 A119
175. W.B. Li, J.V. Sengers, R.W. Gammon and P.N. Segrè (1995) Measurement of transport properties of liquids with equilibrium and nonequilibrium Rayleigh scattering. Int. J. Thermophys. 16 23
176. W.B. Li, K.J. Zhang, J.V. Sengers, R.W. Gammon and Z. J.M.Or-tiz de Zârate (1998) Concentration fluctuations in a polymer solution under a temperature gradient. Phys. Rev. Lett. 81 5580
177. W.B. Li, K.J. Zhang, J.V. Sengers, R.W. Gammon and J.M.O.- Zárate J.M. Or-tiz de (2000) Light scattering from nonequilibrium concentration fluctuations in a polymer solution. J. Chem.P hys. 112 9139
178. H.W. Liepmann and A. Roshko (1957) Elements of Gasdynamics. 2nd Ed. New York: Wiley Dover edition
179. E.M. Lifshitz and Pitaevskii (1986) Statistical Physics. London: Pergamon Part II
180. J.L. Lin, W.L. Taylor and W.M. Rutherford (1991) Secondary coefficients. W.A. Wakeham, A. Nagashima, J.V. Sengers,(Eds) Measurement of the Transport Properties of Fluids Oxford: Blackwell Scientific 323-387
181. I.S. Liu (2002) Continuum Mechanics. Heidelberg: Springer Verlag
182. M. Lopez de Haro, J.A. del Rio and F. Vázquez (2002) Light-scattering spectrum of a viscoelastic fluid subjected to an external temperature gradient. Revista Mexicana de Fisica 48(Supl. 1), 230
183. R. Lord Rayleigh (1916) On convective currents in a horizontal layer of fluid when the higher temperature is on the under side. Phil. Mag 6(32), 529
184. E. Lorenz (1964) The problem of deducing the climate from the governing equations. Tellus 16 1
185. M. Lücke, W. Barten, P. Büchel, F. Fütterer, S. Hollinger St. and C. Jung Ch. (1998) Pattern formation in binary fluid convection and in systems with throughflow. F.H. Busse, S.C. Müller,(Eds) Evolution of Spontaneous Structures in Dissipative Continuous Systems. Vol. 55m of Lecture Notes in Physics Berlin: Springer 128-196
186. J.F. Lutsko and J.W. Dufty (1985) Hydrodynamic fluctuations at large shear rate. Phys. Rev. A 32 3040
187. J.F. Lutsko and J.W. Dufty (2002) Long-ranged correlations in sheared fluids. Phys. Rev. E 66 041206
188. J. Machta, L. Oppenheim and L. Procaccia (1980) Statistical mechanics of stationary states. V. Fluctuations in systems with shear flow. Phys. Rev. A 22 2809
189. M. Malek Mansour, A.L. Garcia, J.W. Turner and M. Mareschal (1988) On the scattering function of simple fluids in finite systems. J. Stat. Phys. 52 295
190. M. Malek Mansour, J.W. Turner and A.L. Garcia (1987) Correlation func-tions for simple fluids in a finite system under nonequilibrium constrains. J. Stat. Phys. 48 1157
191. L.I. Mandelstam (1934) Dokl. Akad. Nauk SSSR 2 219
192. P. Manneville (1990) Dissipative Structures and Weak Turbulence. San Diego: Academic Press
193. N.H. March and M.P. Tosi (1976) Atomic Dynamics in Liquids. London: Macmillan Press Dover edition
194. C.C. Martens (2002) Qualitative dynamics of generalized Langevin equa-tions and the theory of chemical reaction rates. J. Chem. Phys. 116 2516
195. K.T. Mashiyama and E.L. Mori (1978) Origin of Landau-Lifshitz hydrodynamic fluctuations in non-equilibrium systems and a new method for deducing the Boltzmann-equation. J. Stat. Phys. 18 385
196. G.F. Mazenko, S. Ramaswamy and J. Toner (1983) Breakdown of conven-tional hydrodynamics for smectic-A, smectic-B, and cholesteric liquid crystals. Phys. Rev. A 28 1618
197. E. Mazur and D.S. Chung (1987) Light scattering from the liquid-vapor in-terface. Physica A 147 387
198. C.W. Meyer, G. Ahlers and D.S. Cannell (1991) Stochastic influences on pattern formation in Rayleigh-Bénard convection: Ramping experiments. Phys. Rev. A 44 2514
199. A. Michels, J.V. Sengers and P.S. van der Gulik (1962) The thermal con-ductivity of carbon dioxide in the critical region. II. Measurements and conclusions. Physica A 28 1216
200. J.M. Mihaljan (1962) A rigorous exposition of the Boussinesq approxima-tion applicable to a thin layer of fluid. Astrophys. J. 136 1126
201. I. Mills, T. Cvitas, K. Homann, N. Kallay and K. Kuchitsu (1988) Quantities, Units and Symbols in Physical Chemistry. Oxford: Blackwell
202. R.D. Mountain (1966) Spectral distribution of scattered light in a simple fluid. Rev. Mod. Phys. 38 205
203. L.G. Napolitano (1978) Thermodynamics and dynamics of pure interfaces. Acta Astronaut. 5 655
204. A.A. Nepomnyashchy, M.G. Velarde and P. Colinet (2002) Interfacial Phenomena and Convection. Boca Raton, FL: CRC Press
205. J. Niederläänder, M. Lücke and M. Kamps (1991) Weakly nonlinear convection: Galerkin model, numerical simulation, and amplitude equation. Z. Phys. B 82 135
206. J.C. Nieuwoudt and B.M. Law (1990) Theory of light scattering by a non-equilibrium binary mixture. Phys. Rev. A 42 2003
207. C. Normand, Y. Pomeau and M.G. Velarde (1977) Convective instability: A physicist's approach. Rev. Mod. Phys. 49 581
208. J. Oh and G. Ahlers (2003) Thermal-noise effect on the transition to Rayleigh-Bénard convection. Phys. Rev. Lett. 91 094501
209. J. Oh, J.M. Ortiz de Zárate, J.V. Sengers and G. Ahlers (2004) Dynamics of fluctuations in a fluid below the onset of Rayleigh-Bénard convection. Phys. Rev. E 69 021106
210. L. Onsager (1931) Reciprocal relations in irreversible processes. I. Phys. Rev. 37 405 426
211. L. Onsager (1931) Reciprocal relations in irreversible processes. II. Phys. Rev. 38 2265 2279
212. A. Onuki (1997) Phase transitions of fluids under shear flow. J. Phys.: Condens. Matter 9 6119
213. A. Onuki (2002) Phase Transition Dynamics. Cambridge: Cambridge University Press
214. Y. Oono (1976) The meaning of δz2 of Glandsdorff and Prigogine 207. Phys. Lett. 57A
215. J.M. Ortiz de Zárate and L. Mufioz Redondo (2001) Finite-size effects with rigid boundaries on nonequilibrium fluctuations in a liquid. Eur. Phys. J. B 21 135
216. J.M. Ortiz de Zárate, F. Peluso and J.V. Sengers (2004) Nonequilibrium fluctuations in the Rayleigh-Bénard problem for binary fluid mixtures. Eur. Phys. J. E 15 319
217. J.M. Ortiz de Zárate, C. Pérez Cordón and J.V. R. Sengers (2001) Finite-size effects on fluctuations in a fluid out of thermal equilibrium. Physica A 291 113
218. J.M. Ortiz de Zárate and J.V. Sengers (2001) Fluctuations in fluids in thermal nonequilibrium states below the convective Rayleigh-Bénard instability. Physica A 300 25
219. J.M. Ortiz de Zárate and J.V. Sengers (2002) Boundary effects on the non-equilibrium structure factor of fluids below the Rayleigh-Bénard instabil-ity. Phys. Rev. E 66 036305
220. J.M. Ortiz de Zárate and J.V. Sengers (2004) On the physical origin of long-ranged fluctuations in fluids in thermal nonequilibrium states. J. Stat. Phys. 115 1341
221. O. Osenda, C.B. Briozzo and M.O. Caceres (1997) Stochastic Lorenz model for periodically driven Rayleigh-Benard convection. Phys. Rev. E 55 R3824
222. O. Osenda, C.B. Briozzo and M.O. Caceres (1998) Noise and pattern forma-tion in periodically driven Rayleigh-Benard convection. Phys. Rev. E 57 412
223. K. Otnes and T. Riste (1980) Observation by neutron correlation spectroscopy of a nonlinear soft mode at the Rayleigh-Bénard instability in para-azoxyanisole. Phys. Rev. Lett. 37 1490
224. H.C. Ottinger (2005) Beyond Equilibrium Thermodynamics. New York: Wiley
225. I. Pagonabarraga, A. Pérez-Madrid and J.M. Rubf (1997) Fluctuating hydro-dynamics approach to chemical reactions. Physica A 237 205
226. A.M. Pedersen and T. Riste (1980) Real time observations by neutron scat-tering of fluctuations near the Rayleigh-Bénard instability. Z. Phys. B 37 171
227. A. Pellew and R.V. Southwell (1940) On maintained convection in a fluid heated from below. Proc. R. Soc. A 176 312
228. R. Pérez Cordon and M.G. Velarde (1975) On the (nonlinear) foundations of Boussinesq approximation applicable to a thin layer of fluid. J. Physique (Paris) 36 591
229. A. Pérez-Madrid, D. Reguera and J.M. Rubf (2003) Origin of the violation of the fluctuation-dissipation theorem in systems with activated dynamics. Physica A 329 357
230. J.K. Platten and G. Chavepeyer (1975) Finite amplitude instability in the twocomponent Bénard problem. I. Prigogine, S. Rice,(Eds) Advances in Chemical Physics Vol. 32 New York: Wiley 281-322
231. J.K. Platten and J.C. Legros (1984) Convection in Liquids. Berlin: Springer
232. H. Pleiner and H. Brand (1983) Light scattering in nematic liquid crystals in a nonequilibrium steady state. Phys. Rev. A 27 1177
233. H. Pleiner and H. Brand (1983) Light scattering in nematic liquid crystals in the presence of shear flow. J. Physique (Paris) Lettres 44 L23
234. Y. Pomeau and P. Résibois (1975) Time dependent correlation functions and mode-mode coupling theories. Phys. Reports 19 63
235. L. Procaccia, D. Ronis, M.A. Collins, J. Ross and L. Oppenheim (1979) Statistical mechanics of stationary states. I. Formal theory. Phys. Rev. A 19 1290 1306
236. L. Proccacia, D. Ronis and L. Oppenheim (1979) Light scattering from non-equilibrium stationary states: The implication of broken time-reversal symmetry. Phys. Rev. Lett. 42 287
237. X. Qiu and G. Ahlers (2005) Dynamics of fluctuations below a stationary bifurcation to electroconvection in the planar nematic liquid crystal N4. Phys. Rev. Lett. 94 087802
238. I. Quentin Rehberg (1995) Direct measurement of hydrodynamic fluctua-tions in a binary mixture. Phys. Rev. Lett. 74 1578 1581
239. I. Rehberg, F. Hörner, L. Chiran, H. Richter and B.L. Winkler (1991) Measuring the intensity of director fluctuations below the onset of elec-troconvection. Phys. Rev. A 44 R7885
240. L. Rehberg, S. Rasenat, M. de la Torre Juarez, W. Schöpf, F. Hörner, G. Ahlers and H.R. Brand (1991) Thermally induced hydrodynamic fluc-tuations below the onset of electroconvection. Phys. Rev. Lett. 67 596
241. R.A. Robinson and R.H. Stokes (2002) Electrolyte Solutions: Second Revised. New York: Dover Edition
242. R.F. Rodriguez and J.F. Camacho (2002) Nonequilibrium effects on the light-scattering spectrum of a nematic driven by a pressure gradient. Rev. Mex. Fisica 48(Supl. 1), 144
243. R.F. Rodriguez and J.F. Camacho (2002) Nonequilibrium thermal lightscattering from nematic liquid crystals. A. Macias, E. Diaz, F. Uribe,(Eds) Statistical Physics and Beyond. Vol. B of Recent Developments in Mathematical and Experimental Physics New York: Kluwer 209-224
244. D. Ronis and I. Procaccia (1982) Nonlinear resonant coupling between shear and heat fluctuations in fluids far from equilibrium. Phys. Rev. A 26 1812
245. D. Ronis, L. Procaccia and J. Machta (1980) Statistical mechanics of station-ary states. VI. Hydrodynamic fluctuation theory far from equilibrium. Phys. Rev. A 22 714
246. D. Ronis, I. Procaccia and I. Oppenheim (1979) Statistical mechanics of sta-tionary states. III. Fluctuations in dense fluids with applications to light scattering. Phys. Rev. A 19 1324
247. J. Ross, K.L.C. Hunt and P.M. Hunt (1992) Thermodynamic and stochastic theory for nonequilibrium systems with multiple reactive intermediates: The concept and role of excess work. J. Chem. Phys. 96 618
248. J.S. Rowlinson and B. Widom (1982) Molecular Theory of Capillarity. Oxford: Clarendon
249. J.M. Rubf (1984) Fluctuations around equilibrium. J Casas-Vázquez, D. Jou, G. Lebon,(Eds) Recent Developments in Nonequilibrium Thermodynamics. Vol. 199 of Lecture Notes in Physics Berlin: Springer 233-266
250. J.M. Rubi and P. Mazur (2000) Nonequilibrium thermodynamics and hydro-dynamic fluctuations. Physica A 276 477
251. D. Sahoo and A.K. Sood (1983) Comments on Light scattering from a fluid in a nonequilibrium steady state: Plane Couette flow. Phys. Lett. 93A 476
252. D. Sahoo and A.K. Sood (1983) Light scattering from a fluid in a nonequi-librium steady state: Plane Couette flow. Phys. Lett. 93A 476
253. D. Sahoo and A.K. Sood (1984) Possibility of modification of the Rayleigh line in a nonequilibrium fluid with a constant shear velocity gradient. Phys. Rev. A 30 2802
254. I. Santamarfa-Holek, A. Perez-Madrid and J.M. Rubi (2004) Local quasi-equilibrium description of slow relaxation systems. J. Chem. Phys. 120 2818
255. Y. Sawada (1978) Acoustic observation of critical slowing down for the convectional instability by configuration inversion. Phys. Lett. A 65 5
256. R.S. Schechter, I. Prigogine and J.R. Hamm (1972) Thermal diffusion and convective instability. Phys. Fluids 15 379
257. R.S. Schechter, M.G. Velarde and J.K. Platten (1974) The two-component Bénard problem. I. Prigogine, S.A. Rice,(Eds) Advances in Chemical Physics Vol. 26 New York: Wiley 265-301
258. M.A. Scherer, G. Ahlers, F. Hörner and I. Rehberg (2000) Deviations from linear theory for fluctuations below the supercritical primary bifurcation to electroconvection. Phys. Rev. Lett. 85 3754
259. S. Schmitt and M. Lücke (1991) Amplitude equation for modulated Rayleigh-Bénard convection. Phys. Rev. A 44 4986
260. R. Schmitz (1988) Fluctuations in nonequilibrium fluids. Phys. Reports 171 1
261. R. Schmitz (1994) Fluctuations in a nonequilibrium colloidal suspension. Physica A 206 25
262. R. Schmitz and E.G.D. Cohen (1985) Fluctuations in a fluid under a sta-tionary heat flux. I. General theory. J. Stat. Phys. 39 285
263. R. Schmitz and E.G.D. Cohen (1985) Fluctuations in a fluid under a sta-tionary heat flux. II. Slow part of the correlation matrix. J. Stat. Phys. 40 431
264. R. Schmitz and E.G.D. Cohen (1987) Brillouin scattering from fluids subject to large thermal gradients. Phys. Rev. A 35 2602
265. W. Schöpf and W. Zimmermann (1993) Convection in binary fluids: Am-plitude equations, codimension-2 bifurcation, and thermal fluctuations. Phys. Rev. E 47 1739
266. P.N. Segrè, R.W. Gammon and J.V. Sengers (1993) Light-scattering mea-surements of nonequilibrium fluctuations in a liquid mixture. Phys. Rev. E 47 1026
267. P.N. Segrè, R.W. Gammon, J.V. Sengers and B.M. Law (1992) Rayleigh scattering in a liquid far from thermal equilibrium. Phys. Rev. A 45 714
268. P.N. Segrè, R. Schmitz and J.V. Sengers (1993) Fluctuations in inhomoge-neous and nonequilibrium fluids under the influence of gravity. Physica A 195 31
269. P.N. Segrè and J.V. Sengers (1993) Nonequilibrium fluctuations in liquid mixtures under the influence of gravity. Physica A 198 46
270. J.V. Sengers (1966) Behavior of viscosity and thermal conductivity of fluids near the critical point. M.S. Green, J.V. Sengers,(Eds) Critical Phenomena. Vol. 273 of National Bureau of Standards Miscellaneous Publications Washington, DC.: U.S. Government Printing Office 165-178
271. J.V. Sengers (1985) Transport properties of fluids near critical points. Int. J. Thermophys. 6 203
272. J.V. Sengers, R.W. Gammon and J.M. Ortiz de Zárate (2000) Thermaldiffusion driven concentration fluctuations in a polymer solution. M. Dadmun, D. Noid, B. Sumpter, Y. Melnichenko,(Eds) Computational Studies, Nanotechnology and Solution Thermodynamics New York: Kluwer 37-44
273. J.V. Sengers and P.E.L. Keyes (1971) Scaling of the thermal conductivity near the gas-liquid critical point. Phys. Rev. Lett. 26 70
274. J.V. Sengers and J.M. Ortiz de Zárate (2001) Finite-size effects on Soret-induced nonequilibrium concentration fluctuations in binary liquids. Re-vista Mexicana de Ffsica 48(Supl. 1), 14
275. J.V. Sengers and J.M. Ortiz de Zárate (1902) Nonequilibrium concentration fluctuations in binary liquid systems induced by the Soret effect. W. Köhler, S. Wiegand,(Eds) Thermal Nonequilibrium Phenomena in Fluid Mixtures. Vol. 584 of Lecture Notes in Physics Berlin: Springer 121-145
276. A.H. Shapiro (1953) The Dynamics and Thermodynamics of Compressible Fluid Flow. New York: Wiley
277. A.H.P. Skelland (1967) Non-Newtonian Flow and Heat Transfer. New York: Wiley
278. C. Soret (1880) Influence de la température sur la distribution des sels dans leurs solutions. C.R. Acad. Sci, Paris 91 289
279. E.A. Spiegel and G. Veronis (1960) On the Boussinesq approximation for a compressible fluid. Astrophys. J. 131 442
280. K. Staliunas (2001) Spatial and temporal spectra of noise driven stripe patterns. Phys. Rev. E 64 066129
281. W.A. Steele (1969) Time-correlation functions. H.J.M. Hanley,(Eds) Transport Phenomena in Fluids New York: Marcel Dekker 209-312
282. M.J. Stephen and J.P. Straley (1974) Physics of liquid crystals. Rev. Mod. Phys. 46 617
283. R.N. Suave and A.R.B. de Castro (1996) Asymmetry in the Brillouin spectra of organic fluids exposed to a temperature gradient. Phys. Rev. B 53 5330
284. J.B. Swift and P.C. Hohenberg (1977) Hydrodynamic fluctuations at the convective instability. Phys. Rev. A 15 319
285. S.P. Trainoff (1999) Rayleigh-Bénard convection in the presence of a weak lateral flow. Ph. D. thesis Santa Barbara: University of California
286. S.P. Trainoff and D.S. Cannell (2002) Physical optics treatment of the shad-owgraph. Phys. Fluids 14 1340
287. M. Treiber (1996) Analytic expressions for the stochastic amplitude equa-tion for Taylor-Couette flow. Phys. Rev. E 53 577
288. M. Treiber and L. Kramer (1994) Stochastic envelope equations for nonequi-librium transitions and application to thermal fluctuations in electrocon-vection in nematic liquid cristals. Phys. Rev. E 49 3184
289. A.M.S. Tremblay (1984) Theories of fluctuations in nonequilibrium systems. J. Casas Vázquez, D. Jou, G. Lebon,(Eds) Recent developments in Nonequilibrium Thermodynamics. Vol. 199 of Lecture Notes in Physics Berlin: Springer 267-317
290. A.S. Tremblay, M. Arai and E.D. Siggia (1981) Fluctuations about simple nonequilibrium steady states. Phys. Rev. A 23 1451
291. D.J. Tritton (1988) Physical Fluid Dynamics. 2nd Ed. Oxford: Oxford University Press
292. J.S. Turner (1985) Multicomponent convection. Annu. Rev. Fluid Mech. 17 11
293. H.J.V. Tyrrell (1961) Diffusion and Heat Flow in Liquids. London: Butterworths
294. A. Vailati and M. Giglio (1996) Divergence of nonequilibrium fluctuations and its gravity-induced frustration in a temperature stressed liquid mix-ture. Phys. Rev. Lett. 77 1484
295. A. Vailati and M. Giglio (1997) Giant fluctuations in a free diffusion process. Nature 390 262
296. A. Vailati and M. Giglio (1997) Very low-angle static light scattering from steady-state and time-dependent nonequilibrium fluctuations. Prog. Col-loid. Polym. Sci.` 104 76
297. A. Vailati and M. Giglio (1998) Nonequilibrium fluctuations in time-dependent diffusion processes. Phys. Rev. E 58 4361
298. A.Y. Val'kov, V.P. Romanov and A.N. Shalaginov (1994) Fluctuations and ligth scattering in liquid crystals. Physics-Uspekhi 37 139
299. H. van Beijeren and E.G.D. Cohen (1988) Comment on “Initial stages of pattern formation in Rayleigh-Bénard convection. Phys. Rev. Lett. 60 1208
300. H. van Beijeren and E.G.D. Cohen (1988) The effects of thermal noise in a Rayleigh-Bénard cell near its first convective instability. J. Stat. Phys. 53 77
301. G. van der Zwan, D. Bedeaux and P. Mazur (1981) Light scattering from a fluid with a stationary temperature gradient. Physica A 107 491
302. N.G. van Kampen (1976) The equilibrium distribution of a chemical mix-ture 59A Phys. Lett. 333
303. N.G. van Kampen (1982) Stochastic Processes in Physics and Chemistry. Amsterdam: North-Holland
304. F. van Wijland, K. Oerding and H.J. Hilhorst (1998) Wilson renormalization of a reaction-diffusion process. Physica A 251 179
305. F. Vázquez and M. Lopez de Haro (2001) Fluctuating hydrodynamics and irreversible thermodynamics. J. Non-Equilib. Thermodyn. 26 279
306. M.G. Velarde and R.S. Schechter (1972) Thermal diffusion and convective instability. II. An analysis of the convected fluxes. Phys. Fluids 15 1707
307. R.M. Velasco and L.S. Garcfa-Colm (1991) Viscoheat coupling in a binary mixture. J. Phys. A: Math. Gen. 24 1007
308. J.M.G. Villar and J.M. Rubi (1901) Thermodynamics “beyond” local equi-librium. PNAS 98 11081
309. M.O. Vlad and J. Ross (1994) Fluctuation dissipation relations for chemical systems far from equilibrium. J. Chem. Phys. 100 7268
310. M.O. Vlad and J. Ross (1994) Random paths and fluctuation dissipation dy-namics for one-variable chemical systems far from equilibrium. J. Chem. Phys. 100 7279
311. M.O. Vlad and J. Ross (1994) Thermodynamic approach to nonequilibrium chemical fluctuations. J. Chem. Phys. 100 7295
312. V.V. Vladimirskii (1943) Dokl. Akad. Nauk SSSR 38 229
313. H. Wada (2004) Shear-induced quench of long-ranged correlations in a liquid mixture. Phys. Rev. E 69 031202
314. H. Wada and S. Sasa (2003) Anomalous pressure in fluctuating shear flow. Phys. Rev. E 67 065302 (R)
315. J.D. Weeks (1977) Structure and thermodynamics of the liquid-vapor in-terface. J. Chem. Phys. 67 3106
316. G.H. Wegdam, N.M. Keulen and J.C.F. Michielsen (1985) Small-angle Rayleigh scattering in CCI4 subjected to a temperature gradient. Phys. Rev. Lett. 55 630
317. J. Westried, Y. Pomeau, M. Dubois, C. Normand and P. Berge (1978) Crit-ical effects in Rayleigh-Bénard convection. J. Physique (Paris) 39 725
318. A. Widom (1971) Velocity fluctuations of a hard-core brownian particle. Phys. Rev. A 3 1394
319. B.L. Winkler, W. Decker, H. Richter and I. Rehberg (1992) Measuring the growth rate of electroconvection by means of thermal noise. Physica D 61 284
320. G. Wu, M. Fiebig and A. Leipertz (1988) Thermal diffusivity of transparent liquids by photon correlation spectroscopy II. Measurements in binary mixtures with a small difference in the refractive index of both pure com-ponents. Int. J. Heat Mass Transfer 31 1471
321. M. Wu, G. Ahlers and D.S. Cannell (1995) Thermally induced fluctuations below the onset of Rayleigh-Bénard convection. Phys. Rev. Lett. 75 1743
322. V.M. Zaitsev and M.L. Shliomis (1971) Hydrodynamic fluctuations near the convection threshold. Sov. Phys. JETP 32 866
323. K.J. Zhang, M.E. Briggs, R.W. Gammon and J.V. Sengers (1996) Optical measurement of the Soret coefficient and the diffusion coefficient of liquid mixtures. J. Chem. Phys. 104 6881
324. R. Zwanzig (1965) Time-correlation functions and transport coefficients in statistical mechanics. Ann. Rev. Phys. Chem. 16 67
325. R. Zwanzig (2001) A chemical Langevin equation with non-gaussian noise. J. Phys. Chem. B 105 6472
326. R. Zwanzig and M. Bixon (1970) Hydrodynamic theory of the velocity corre-lation function. Phys. Rev. A 2 2005
327. R. Zwanzig, K.S.J. Nordholm and W.C. Mitchell (1972) Memory effects in irreversible thermodynamics: Corrected derivation of transport equa-tions. Phys. Rev. A 5 2680