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References
de Groot SR, Mazur P (1984) Non-equilibrium thermodynamics. Dover, New York
Kjelstrup S, Bedeaux D (2008) Non-equilibrium thermodynamics of heterogeneous systems. Series on advances in statistical mechanics, vol 16. World Scientific, Singapore
Glavatskiy KS, Bedeaux D (2008) Nonequilibrium properties of a twodimensionally isotropic interface in a two-phase mixture as described by the square gradient model. Phys Rev E 77:061101
Glavatskiy KS, Bedeaux D (2009) Numerical solution of the nonequilibrium square-gradient model and verification of local equilibrium for the Gibbs surface in a two-phase binary mixture. Phys Rev E 79:031608
Glavatskiy KS, Bedeaux D (2010) Transport of heat and mass in a two-phase mixture: from a continuous to a discontinuous description. J Chem Phys 133:144709
Glavatskiy KS, Bedeaux D (2010) Resistances for heat and mass transfer through a liquid–vapor interface in a binary mixture. J Chem Phys 133:234501
Bedeaux D, Johannessen E, Røsjorde A (2003) The nonequilibrium van der Waals square gradient model. (I). The model and its numerical solution. Phys A 330:329
Johannessen E, Bedeaux D (2003) The nonequilibrium van der Waals square gradient model. (II). Local equilibrium of the Gibbs surface. Phys A 330:354
Johannessen E, Bedeaux D (2004) The nonequilibrium van der Waals square gradient model. (III). Heat and mass transfer coefficients. Phys A 336:252
Johannessen E, Bedeaux D (2006) Integral relations for the heat and mass transfer resistivities of the liquid–vapor interface. Phys A 370:258–274
Rowlinson JS (1979) Translation of J.D. van der Waals’ “The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density”. J Stat Phys 20:197–244
van der Waals JD (1893) Square gradient model. Verhandel Konink Akad Weten Amsterdam 1:8
Cahn JW, Hilliard JE (1958) Free energy of a nonuniform system. I. Interfacial free energy. J Chem Phys 28:258
James RA, Phillips LF (2006) Onsager heat of transport for water vapour at the surface of glycerol–water mixtures. Chem Phys Lett 425:49–52
Fang G, Ward CA (1999) Temperature measured close to the interface of an evaporating liquid. Phys Rev E 59:417–428
Ward CA, Stanga D (2001) Interfacial conditions during evaporation or condensation of water. Phys Rev E 64:051509 (9 pp)
Badam VK, Kumar V, Durst F, Danov K (2007) Experimental and theoretical investigations on interfacial temperature jumps during evaporation. Exp Therm Fluid Sci 32:276–292
Mills CT, Phillips LF (2002) Onsager heat of transport at the aniline vapour interface. Chem Phys Lett 366:279–283
Røsjorde A, Fossmo DW, Bedeaux D, Kjelstrup S, Hafskjold B (2000) Non-equilibrium molecular dynamics simulations of steady-state heat and mass transport in condensation I: local equilibrium. J Colloid Interface Sci 232:178–185
Simon J-M, Kjelstrup S, Bedeaux D, Hafskjold B (2004) Thermal flux through a surface of n-octane. A non-equilibrium molecular dynamics study. J Phys Chem B 108:7186–7195
Xu J, Kjelstrup S, Bedeaux D (2006) Molecular dynamics simulations of a chemical reaction; conditions for local equilibrium in a temperature gradient. Phys Chem Chem Phys 8:2017–2027
Ge J, Kjelstrup S, Bedeaux D, Simon JM, Rousseau B (2007) Coefficients for evaporation of a system with a lennard-jones long range spline potential. Phys Rev E 75:061604–061610
Blokhuis EM, Bedeaux D, Holcomb CD, Zollweg JA (1995) Tail corrections to the surface tension of a Lennard–Jones liquid–vapor interface. Mol Phys 85:665–669
Evans DJ, Morriss GP (2008) Statistical mechanics of nonequilibrium liquids, 2nd edn. Cambridge University Press, Cambridge
Røsjorde A, Bedeaux D, Kjelstrup S, Hafskjold B (2001) Non-equilibrium molecular dynamics simulations of steady-state heat and mass transport in condensation II: transfer coefficients. J Colloid Interface Sci 240:355–364
Korteweg DJ (1901) Sur la forme que prennent les équations du mouvement des uides si l’on tient compte des forces capillares causés par les variations de densité. Arch. Neérlandaises des Sci. Exact et Natur II(6):1–24
Ginzburg VL, Landau LD (1950) On the theory of superconductivity. Zh Eksp Theor Fiz 20:1064
Rowlinson JS, Widom B (1982) Molecular theory of capillarity. Clarendon Press, Oxford
Yang AJM, Fleming PD, Gibbs JH (1976) Molecular theory of surface tension. J Chem Phys 64:3732
Patashinskii AZ, Pokrovskii VL (1979) Fluctuation theory of phase transitions. Pergamon, Oxford
Lamorgese AG, Mauri R (2009) Diffuse-interface modeling of liquid–vapor phase separation in a van der waals fluid. Phys Fluids 21:044107
Joseph DD (1990) Fluid-dynamics of 2 miscible liquids with diffusion and gradient stresses. Eur J Mech B Fluids 9:565
Lowengrub J, Truskinovsky L (1998) Quasi-incompressible Cahn–Hilliard fluids and topological transitions. Proc R Soc Lond A 454:2617–2654
Golovin AA, Pismen LM (2004) Dynamic phase separation: from coarsening to turbulence via structure formation. Chaos 14:845–854
Antanovskii LK (1994) A phase field model of capillarity. Phys Fluids 7(4):747–753
Anderson DM, McFadden GB, Wheeler AA (1998) Diffuse-interface methods in fluid mechanics. Annu Rev Fluid Mech 30:139
Thiele U, Madruga S, Frastia L (2007) Decomposition driven interface evolution for layers of binary mixtures. i. model derivation and stratified base states. Phys Fluids 19:122106
Onuki A (2009) Henry’s law, surface tension and surface adsorption in dilute binary mixtures. J Chem Phys 130:124703
Onuki A (2007) Dynamic van der waals theory. Phys Rev E 75:036304
Molin D, Mauri R (2007) Enhanced heat transport during phase separation of liquid binary mixtures. Phys Fluids 19:074102
Gibbs JW (1993) On the equilibrium of heterogeneous substances. In: The scientific papers of J. Williard Gibbs [52]
Taylor R, Krishna R (1993) Multicomponent mass transfer. Wiley, New York
Albano AM, Bedeaux D, Vlieger J (1979) On the description of interfacial properties using singular densities and currents at a dividing surface. Phys A 99:293–304
Bedeaux D (1986) Nonequilibrium thermodynamics and statistical physics of surfaces. Adv Chem Phys 64:47–109
Bedeaux D, Kjelstrup S (2005) Heat, mass and charge transport and chemical reactions at surfaces. Int J Thermodyn 8:25–41
Bedeaux D, Kjelstrup S (1999) Transfer coefficients for evaporation. Phys A 270:413–426
Kjelstrup S, Tsuruta T, Bedeaux D (2002) The inverted temperature profile across a vapour/liquid surface analyzed by molecular computer simulations. J Colloid Interface Sci 256:451–461
Ge J, Kjelstrup S, Bedeaux D, Simon J-M, Rousseaux B (2007) Transfer coefficients for evaporation of a system with a Lennard–Jones longrange spline potential. Phys Rev E 75:0616041–06160410
Pao YP (1971) Application of kinetic theory to problem of evaporation and condensation. Phys Fluids 14:306–312
Cipolla JW Jr, Lang H, Loyalka SK (1974) Kinetic theory of condensation and evaporation. II. J Chem Phys 61:69–77
Bedeaux D, Hermans LFJ, Ytrehus T (1990) Slow evaporation and condensation. Phys A 169:263–280
Williard Gibbs J (1993) The scientific papers of J. Williard Gibbs. Ox Bow Press
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Glavatskiy, K. (2011). Introduction. In: Multicomponent Interfacial Transport. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15266-5_1
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