Density functional theory for chemical engineering: From capillarity to soft materials

Understanding the microscopic structure and macroscopic properties of condensed matter from a molecular perspective is important for both traditional and modern chemical engineering. A cornerstone of such understanding is provided by statistical mechanics, which bridges the gap between molecular events and the structural and physiochemical properties of macro- and mesoscopic systems. With ever-increasing computer power, molecular simulations and ab initio quantum mechanics are promising to provide a nearly exact route to accomplishing the full potential of statistical mechanics. However, in light of their versatility for solving problems involving multiple length and timescales that are yet unreachable by direct simulations, phenomenological and semiempirical methods remain relevant for chemical engineering applications in the foreseeable future. Classical density functional theory offers a compromise: on the one hand, it is able to retain the theoretical rigor of statistical mechanics and, on the other hand, similar to a phenomenological method, it demands only modest computational cost for modeling the properties of uniform and inhomogeneous systems. Recent advances are summarized of classical density functional theory with emphasis on applications to quantitative modeling of the phase and interfacial behavior of condensed fluids and soft materials, including colloids, polymer solutions, nanocomposites, liquid crystals, and biological systems. Attention is also given to some potential applications of density functional theory to material fabrications and biomolecular engineering. © 2005 American Institute of Chemical Engineers AIChE J, 2006

[1]  L. Pusztai,et al.  Effects of slit-like pore confinement on the closed loop immiscibility in symmetric binary model mixtures: fundamental measure density functional approach , 2003 .

[2]  Jianzhong Wu,et al.  Surface-induced phase transitions in ultrathin films of block copolymers. , 2005, The Journal of chemical physics.

[3]  Jongseung Yoon,et al.  Enabling nanotechnology with self assembled block copolymer patterns , 2003 .

[4]  Perturbation density functional theory and Monte Carlo simulations for the structure of hard triatomic fluids in slitlike pores , 1995 .

[5]  John W. Cahn,et al.  Critical point wetting , 1977 .

[6]  L. Scriven,et al.  Interactions between primitive electrical double layers , 1992 .

[7]  J. Daillant,et al.  Reduction in the surface energy of liquid interfaces at short length scales , 2000, Nature.

[8]  M. Stamm,et al.  Nano-dewetting: Interplay between van der Waals- and short-ranged interactions , 2001 .

[9]  M. Schmidt,et al.  Density-functional theory for structure and freezing of star polymer solutions , 2001 .

[10]  L. Frink,et al.  Density functional theory for inhomogeneous polymer systems. II. Application to block copolymer thin films , 2002 .

[11]  P-M König,et al.  Morphological thermodynamics of fluids: shape dependence of free energies. , 2004, Physical review letters.

[12]  C. Radke,et al.  Density‐functional modeling of structure and forces in thin micellar liquid films , 1994 .

[13]  Chandler,et al.  Cavity formation and the drying transition in the lennard-jones fluid , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  H. Wennerström,et al.  ATTRACTIVE SURFACE FORCES DUE TO LIQUID DENSITY DEPRESSION , 1997 .

[15]  Joachim O. Rädler,et al.  Structure of DNA-Cationic Liposome Complexes: DNA Intercalation in Multilamellar Membranes in Distinct Interhelical Packing Regimes , 1997, Science.

[16]  T.G.M. van de Ven,et al.  Interfacial transport processes and rheology , 1993 .

[17]  K. Mecke,et al.  Effective Hamiltonian for liquid-vapor interfaces. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  P. Bryk,et al.  Application of the density functional method to study phase transitions in an associating Lennard-Jones fluid adsorbed in energetically heterogeneous slit-Like pores , 2000 .

[19]  Jianzhong Wu,et al.  Density functional theory for inhomogeneous mixtures of polymeric fluids , 2002 .

[20]  P. Gennes,et al.  Spreading of nonvolatile liquids in a continuum picture , 1991 .

[21]  Jerome K. Percus,et al.  Analysis of Classical Statistical Mechanics by Means of Collective Coordinates , 1958 .

[22]  K. Gubbins,et al.  Phase separation in confined systems , 1999 .

[23]  K. Downing,et al.  Cryoelectron microscopy of λ phage DNA condensates in vitreous ice: The fine structure of DNA toroids , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[24]  Pedro Tarazona,et al.  Dynamic density functional theory of fluids , 1999 .

[25]  Walter G Chapman,et al.  A density functional approach to chemical reaction equilibria in confined systems: Application to dimerization , 2003 .

[26]  Holyst,et al.  Wetting on a spherical surface. , 1987, Physical review. B, Condensed matter.

[27]  M. Tirrell,et al.  The role of surface science in bioengineered materials , 2002 .

[28]  Dirk Gillespie,et al.  Density functional theory of charged, hard-sphere fluids. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  N. Ashcroft,et al.  Weighted-density-functional theory of nonuniform fluid mixtures: Application to freezing of binary hard-sphere mixtures. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[30]  Yiping Tang,et al.  On the mean spherical approximation for the Lennard-Jones fluid , 2001 .

[31]  P. Nealey,et al.  Density functional theory of molecular structure for thin diblock copolymer films on chemically heterogeneous surfaces , 1999 .

[32]  D. Castner,et al.  Biomedical surface science: Foundations to frontiers , 2002 .

[33]  A. Archer,et al.  Solvent mediated interactions close to fluid-fluid phase separation: microscopic treatment of bridging in a soft-core fluid. , 2004, The Journal of chemical physics.

[34]  G. Fredrickson,et al.  Field-Theoretic Computer Simulation Methods for Polymers and Complex Fluids , 2002 .

[35]  S. Sokołowski,et al.  Phase Behavior of Associating Two- and Four-Bonding Sites Lennard-Jones Fluid in Contact with Solid Surfaces , 2000 .

[36]  L. G. Macdowell,et al.  TOPICAL REVIEW: Wetting of polymer liquids: Monte Carlo simulations and self-consistent field calculations , 2003 .

[37]  R. Prud’homme,et al.  Association of hydrophobically-modified poly(ethylene glycol) with fusogenic liposomes. , 2003, Biochimica et biophysica acta.

[38]  Density functional for anisotropic fluids , 2002, cond-mat/0208449.

[39]  D. Oxtoby Crystal nucleation in simple and complex fluids , 2003, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[40]  D. Wasan,et al.  Interfacial phenomena in enhanced oil recovery , 1982 .

[41]  A. Gast,et al.  Properties of crystallizing soft sphere systems , 1999 .

[42]  A. Patrykiejew,et al.  Liquid—liquid interface in a binary mixture of associating fluids exhibiting a closed-loop immiscibility , 2003 .

[43]  P. G. de Gennes,et al.  Conformations of Polymers Attached to an Interface , 1980 .

[44]  Walter G Chapman,et al.  Microstructure and thermodynamics of inhomogeneous polymer blends and solutions. , 2005, Physical review letters.

[45]  M. Wertheim,et al.  Fluids with highly directional attractive forces. I. Statistical thermodynamics , 1984 .

[46]  A. Yethiraj,et al.  Density Functional Theory for the Distribution of Small Ions around Polyions , 1999 .

[47]  L. Scriven,et al.  Wetting transitions. II. First order or second order , 1982 .

[48]  B. Jönsson,et al.  The Origins of Hydration Forces: Monte Carlo Simulations and Density Functional Theory , 1997 .

[49]  D Chandler,et al.  Van der Waals Picture of Liquids, Solids, and Phase Transformations , 1983, Science.

[50]  N. Mermin Thermal Properties of the Inhomogeneous Electron Gas , 1965 .

[51]  David Chandler,et al.  Density functional theory of nonuniform polyatomic systems. I. General formulation , 1986 .

[52]  Erich A. Müller,et al.  Molecular-Based Equations of State for Associating Fluids: A Review of SAFT and Related Approaches , 2001 .

[53]  P. Bryk,et al.  Bulk and interfacial properties of binary polymer mixtures. , 2004, The Journal of chemical physics.

[54]  Jose A. Cuesta,et al.  Close to the edge of fundamental measure theory: a density functional for hard-sphere mixtures , 2002, cond-mat/0205256.

[55]  J. McCoy,et al.  Application of Density Functional Theory to Tethered Polymer Chains , 2002 .

[56]  Jianzhong Wu,et al.  Density-functional theory and Monte Carlo simulation for the surface structure and correlation functions of freely jointed Lennard-Jones polymeric fluids. , 2005, The Journal of chemical physics.

[57]  Pablo G. Debenedetti,et al.  Metastable Liquids: Concepts and Principles , 1996 .

[58]  Jianzhong Wu,et al.  Extended test-particle method for predicting the inter- and intramolecular correlation functions of polymeric fluids , 2003 .

[59]  W. Saam,et al.  New Phase-Transition Phenomena in Thin Argon Films , 1977 .

[60]  A. Da̧browski Adsorption--from theory to practice. , 2001, Advances in colloid and interface science.

[61]  K. Gubbins,et al.  Theoretical interpretation of adsorption behavior of simple fluids in slit pores , 1993 .

[62]  D. Chandler,et al.  Hydrophobicity at Small and Large Length Scales , 1999 .

[63]  G. Cinacchi,et al.  Liquid-crystal phase diagrams of binary mixtures of hard spherocylinders. , 2004, The Journal of chemical physics.

[64]  Rosenfeld,et al.  Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing. , 1989, Physical review letters.

[65]  A. Yethiraj,et al.  Short chains at surfaces and interfaces: A quantitative comparison between density-functional theories and Monte Carlo simulations , 2003 .

[66]  M. Rosinberg,et al.  A perturbation density‐functional theory for polyatomic fluids. I. Rigid molecules , 1992 .

[67]  A. Patrykiejew,et al.  Demixing transitions in a binary Gaussian-core fluid confined in narrow slit-like pores , 2004 .

[68]  M. Wertheim,et al.  Fluids with highly directional attractive forces. IV. Equilibrium polymerization , 1986 .

[69]  P. Tarazona,et al.  The Fisher-Widom line for systems with low melting temperature , 2003 .

[70]  A. Balazs Predicting the morphology of nanostructured composites , 2003 .

[71]  Y. Rosenfeld Structure and effective interactions in multi-component hard-sphere liquids: the fundamental-measure density functional approach* , 2002 .

[72]  S. Rafaï,et al.  Long-range critical wetting: observation of a critical end point. , 2004, Physical review letters.

[73]  I. Hadjiagapiou Wetting on an attractive compact spherical substrate , 1996 .

[74]  J. Hansena,et al.  Coarse-graining polymers as soft colloids , 2002 .

[75]  Gero Decher,et al.  Fuzzy Nanoassemblies: Toward Layered Polymeric Multicomposites , 1997 .

[76]  A. Patrykiejew,et al.  Adsorption and phase transitions in a two-site associating Lennard-Jones fluid confined to energetically heterogeneous slit-like pores; application of the density functional method , 2001 .

[77]  D. Stroud,et al.  Density-functional theory of simple classical fluids. I. Surfaces , 1976 .

[78]  A. Neimark,et al.  Characterization of Micro- and Mesoporosity in SBA-15 Materials from Adsorption Data by the NLDFT Method , 2001 .

[79]  C. Woodward A density functional theory for polymers: Application to hard chain–hard sphere mixtures in slitlike pores , 1991 .

[80]  A. Gast,et al.  Crystallization of a Yukawa fluid via a modified weighted density approximation with a solid reference state , 2000 .

[81]  Evans,et al.  Depletion potential in hard-sphere mixtures: theory and applications , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[82]  Brian J. Banaszak,et al.  A new double-rebridging technique for linear polyethylene , 2003 .

[83]  Wetting of curved surfaces , 1997, cond-mat/9711033.

[84]  A. Laaksonen,et al.  Density-functional studies of amphiphilic binary mixtures. I. Phase behavior , 2000 .

[85]  Andrew G. Salinger,et al.  Numerical challenges in the application of density functional theory to biology and nanotechnology , 2002 .

[86]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[87]  Markus Antonietti,et al.  Amphiphilic Block Copolymers in Structure-Controlled Nanomaterial Hybrids , 1998 .

[88]  Walter G Chapman,et al.  A comparison of density functional and integral equation theories vs Monte Carlo simulations for hard sphere associating fluids near a hard wall , 1998 .

[89]  M. Sweatman Weighted density-functional theory for simple fluids: prewetting of a Lennard-Jones fluid. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[90]  J. McCoy,et al.  Density functional theory of simple polymers in a slit pore. II. The role of compressibility and field type , 2000 .

[91]  George Jackson,et al.  Phase equilibria of associating fluids , 2006 .

[92]  Wagner,et al.  Density functional theory of crystal-fluid interfaces and surface melting. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[93]  M. Schick,et al.  Molecular theory of hydrophobic mismatch between lipids and peptides , 2001, cond-mat/0108237.

[94]  A. Balazs,et al.  Predicting the Mesophases of Copolymer-Nanoparticle Composites , 2001, Science.

[95]  Bernhardt L. Trout,et al.  Car-Parrinello methods in chemical engineering: Their scope and potential , 2001 .

[96]  V. Talanquer,et al.  Nucleation of pores in amphiphile bilayers , 2003 .

[97]  D. Chandler,et al.  Introduction To Modern Statistical Mechanics , 1987 .

[98]  F. Bresme,et al.  Surface tension of the restrictive primitive model for ionic liquids. , 2003, Physical review letters.

[99]  S. Egorov,et al.  Interactions between colloidal particles in polymer solutions: A density functional theory study. , 2004, The Journal of chemical physics.

[100]  M. Sweatman Analysis of free energy functional density expansion theories , 2000 .

[101]  R. Roth,et al.  General methods for free-volume theory. , 2005, The Journal of chemical physics.

[102]  Yiping Tang,et al.  Analytical representation of the radial distribution function for classical fluids , 1997 .

[103]  Boris I Shklovskii,et al.  Colloquium: The physics of charge inversion in chemical and biological systems , 2002 .

[104]  J. Seinfeld,et al.  Ion-induced nucleation: A density functional approach , 1995 .

[105]  Yiping Tang,et al.  First‐order radial distribution functions based on the mean spherical approximation for square‐well, Lennard‐Jones, and Kihara fluids , 1994 .

[106]  P. Bolhuis,et al.  Colloid-polymer mixtures in the protein limit. , 2002, Physical review letters.

[107]  J. McCoy,et al.  Application of density functional theory to tethered polymer chains: Athermal systems , 2002 .

[108]  I. Szleifer,et al.  Protein adsorption on surfaces with grafted polymers: a theoretical approach. , 1997, Biophysical journal.

[109]  L. G. Macdowell,et al.  Wetting of a short chain liquid on a brush: First-order and critical wetting transitions , 2001 .

[110]  Gerhard Kahl,et al.  Fundamental measure theory for hard-sphere mixtures revisited: the White Bear version , 2002 .

[111]  Bonn,et al.  Prewetting in a binary liquid mixture. , 1993, Physical review letters.

[112]  L. Onsager THE EFFECTS OF SHAPE ON THE INTERACTION OF COLLOIDAL PARTICLES , 1949 .

[113]  Surface Tension of the Isotropic-Nematic Interface , 2000, cond-mat/0008056.

[114]  Lloyd L. Lee,et al.  Molecular Thermodynamics of Nonideal Fluids , 1988 .

[115]  T. Sluckin,et al.  The structure and surface tension of the liquid-vapour interface of a model of a molten salt , 1980 .

[116]  Henderson,et al.  Density Functional Theory and the Capillary Evaporation of a Liquid in a Slit. , 2000, Journal of colloid and interface science.

[117]  Density functional theory of inhomogeneous classical fluids: recent developments and new perspectives , 2002 .

[118]  Yiping Tang,et al.  Modeling inhomogeneous van der Waals fluids using an analytical direct correlation function. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[119]  D. Blankschtein,et al.  Molecular-Thermodynamic Prediction of Critical Micelle Concentrations of Commercial Surfactants , 2001 .

[120]  D. Chandler,et al.  Interaction site cluster series for the Helmholtz free energy and variational principle for chemical equilibria and intramolecular structures , 1977 .

[121]  Phase separation of saturated and mono-unsaturated lipids as determined from a microscopic model. , 2004, The Journal of chemical physics.

[122]  J. Forsman,et al.  Density functional study of surface forces in athermal polymer solutions with additive hard sphere interactions: Solvent effects, capillary condensation, and capillary-induced surface transitions , 2002 .

[123]  A. Galindo,et al.  Phase behavior of symmetric rod-plate mixtures revisited: Biaxiality versus demixing , 2002 .

[124]  W. Linert,et al.  Self-Assembled Systems , 2004 .

[125]  A. Voronov,et al.  Synthesis of Chemically Grafted Polystyrene “Brushes” and Their Influence on the Dewetting in Thin Polystyrene Films , 2002 .

[126]  P. Tarazona,et al.  Free-energy density functional for hard spheres. , 1985, Physical review. A, General physics.

[127]  P. Debenedetti,et al.  Density-functional study of homogeneous bubble nucleation in the stretched Lennard-Jones fluid , 2001 .

[128]  Luciano Reatto,et al.  A bidimensional fluid system with competing interactions: spontaneous and induced pattern formation , 2004 .

[129]  John S. Rowlinson,et al.  On the Continuity of the Gaseous and Liquid States , 2004 .

[130]  X. Zeng,et al.  Heterogeneous nucleation on mesoscopic wettable particles: A hybrid thermodynamic/density-functional theory , 2002 .

[131]  A. Yethiraj Density functional theory of polymers: A Curtin-Ashcroft type weighted density approximation , 1998 .

[132]  P. A. Monson,et al.  Liquid–liquid equilibrium in a slit pore: Monte Carlo simulation and mean field density functional theory , 1995 .

[133]  Ashcroft,et al.  Density-functional theory and freezing of simple liquids. , 1986, Physical review letters.

[134]  J M Prausnitz,et al.  Interaction between like-charged colloidal spheres in electrolyte solutions. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[135]  Q. Nguyen,et al.  Simple method for immobilization of bio-macromolecules onto membranes of different types , 2003 .

[136]  A. Voronov,et al.  Dependence of thin polystyrene films stability on the thickness of grafted polystyrene brushes , 2003 .

[137]  L. Scriven,et al.  Non-local free-energy density-functional theory applied to the electrical double layer , 1990 .

[138]  C. H. Walker The Hydrophobic Effect: Formation of Micelles and Biological Membranes , 1981 .

[139]  A. Archer,et al.  Solvent-mediated interactions and solvation close to fluid–fluid phase separation: A density functional treatment , 2003 .

[140]  Michael W. Deem,et al.  Recent contributions of statistical mechanics in chemical engineering , 1998 .

[141]  Sheng Zhang,et al.  Renormalization group theory for fluids , 1993 .

[142]  Jianzhong Wu,et al.  Microstructure of block copolymers near selective surfaces: Theoretical predictions and configurational-bias Monte Carlo simulation , 2005 .

[143]  Carolyn A. Koh,et al.  Clathrate hydrates of natural gases , 1990 .

[144]  Jianzhong Wu,et al.  Density-functional theory for the structures and thermodynamic properties of highly asymmetric electrolyte and neutral component mixtures. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[145]  Henderson,et al.  Wetting and drying transitions at a fluid-wall interface: Density-functional theory versus computer simulation. , 1989, Physical review. A, General physics.

[146]  Yiping Tang,et al.  A new solution of the Ornstein–Zernike equation from the perturbation theory , 1993 .

[147]  Tarazona Density functional for hard sphere crystals: A fundamental measure approach , 2000, Physical review letters.

[148]  Taborek,et al.  Prewetting phase diagram of 4He on cesium. , 1992, Physical review letters.

[149]  Density functional theory of laser induced freezing in colloidal suspensions. , 1994, Physical review letters.

[150]  G. Krausch,et al.  Wetting at polymer surfaces and interfaces , 2003 .

[151]  Nonanalytic curvature contributions to solvation free energies: influence of drying. , 2004, The Journal of chemical physics.

[152]  Y. Rosenfeld,et al.  Free energy model for the inhomogeneous hard-body fluid: application of the Gauss-Bonnet theorem , 1995 .

[153]  D. Goulding,et al.  Size selectivity of narrow pores. , 2000, Physical review letters.

[154]  E. Velasco,et al.  A THEORY FOR THE LIQUID-CRYSTALLINE PHASE BEHAVIOR OF THE GAY-BERNE MODEL , 1998 .

[155]  M. Coppens,et al.  Modeling of Diffusion in Zeolites , 2000 .

[156]  D. Theodorou,et al.  A novel Monte Carlo scheme for the rapid equilibration of atomistic model polymer systems of precisely defined molecular architecture. , 2002, Physical review letters.

[157]  J. Forsman,et al.  Density functional study of wetting by polymers. I. Effects of polymer length and surface potential , 2002 .

[158]  M. Boamfa,et al.  Observation of surface and bulk phase transitions in nematic liquid crystals , 2003, Nature.

[159]  Frank H. Stillinger,et al.  Structure in aqueous solutions of nonpolar solutes from the standpoint of scaled-particle theory , 1973 .

[160]  Robert S. Eisenberg,et al.  Coupling Poisson–Nernst–Planck and density functional theory to calculate ion flux , 2002 .

[161]  D. Oxtoby,et al.  Density Functional Methods in the Statistical Mechanics of Materials , 2002 .

[162]  Jianzhong Wu,et al.  Structures of hard-sphere fluids from a modified fundamental-measure theory , 2002 .

[163]  K. Gubbins,et al.  Phase separations for mixtures in well-characterized porous materials: Liquid–liquid transitions , 1997 .

[164]  P. Hohenberg,et al.  Inhomogeneous Electron Gas , 1964 .

[165]  D. Oxtoby,et al.  Induced freezing and re-entrant melting in the hard-disc fluid; applications of the fundamental measure functional , 2002 .

[166]  A. Patrykiejew,et al.  Evaluation of liquid–vapor density profiles for associating fluids in pores from density-functional theory , 2000 .

[167]  Tomáš Boublı́k,et al.  Hard‐Sphere Equation of State , 1970 .

[168]  Laser-induced condensation in colloid—polymer mixtures , 2003 .

[169]  L. Blum,et al.  Mean spherical model for asymmetric electrolytes , 1975 .

[170]  G. Jackson,et al.  A study of orientational ordering in a fluid of dipolar Gay-Berne molecules using density-functional theory , 2002 .

[171]  J. McCoy,et al.  Density functional theory of simple polymers in a slit pore. III. Surface tension , 2000 .

[172]  D. Oxtoby,et al.  Density functional model of surfactant mesostructures , 2002 .

[173]  W. Gelbart,et al.  Generalized van der Waals theory of the isotropic–nematic phase transition , 1977 .

[174]  J. Forsman,et al.  Density functional studies of solvation forces in hard sphere polymer solutions confined between adsorbing walls. I. Solvent effects and dependence on surface potential range , 2003 .

[175]  Yiping Tang On the first-order mean spherical approximation , 2003 .

[176]  S. Lee A numerical investigation of nematic ordering based on a simple hard-rod model , 1987 .

[177]  Tarazona,et al.  Nematic-smectic-A-smectic-C transitions in systems of parallel hard molecules. , 1988, Physical review letters.

[178]  K. Binder,et al.  Polymer + solvent systems : Phase diagrams, interface free energies, and nucleation , 2005 .

[179]  A. Geiger,et al.  Water in nanopores. I. Coexistence curves from Gibbs ensemble Monte Carlo simulations. , 2004, The Journal of chemical physics.

[180]  J. Fraaije,et al.  Dynamic density functional theory for microphase separation kinetics of block copolymer melts , 1993 .

[181]  Douglas M. Ruthven,et al.  Principles of Adsorption and Adsorption Processes , 1984 .

[182]  Howard Reiss,et al.  Statistical Mechanics of Rigid Spheres , 1959 .

[183]  Henderson,et al.  Wetting and drying transitions at a fluid-wall interface. Density-functional theory versus computer simulation. II. , 1989, Physical review. A, Atomic, molecular, and optical physics.

[184]  Jianzhong Wu,et al.  Vapor−Liquid Equilibria and Interfacial Tensions of Associating Fluids within a Density Functional Theory , 2005 .

[185]  Yiping Tang,et al.  Analytical solution of the Ornstein-Zernike equation for mixtures , 1995 .

[186]  A. Neimark,et al.  Bridging scales from molecular simulations to classical thermodynamics: density functional theory of capillary condensation in nanopores , 2003 .

[187]  Jianzhong Wu,et al.  Density-functional theory of spherical electric double layers and zeta potentials of colloidal particles in restricted-primitive-model electrolyte solutions. , 2004, The Journal of chemical physics.

[188]  D. Henderson,et al.  Adsorption of fluids on colloidal particles: a density functional approach , 1995 .

[189]  K. Binder Phase Transitions of Polymer Blends and Block Copolymer Melts in Thin Films , 1999 .

[190]  P. Tarazona,et al.  A model for membranes, vesicles and micelles in amphiphilic systems , 1995 .

[191]  D. Henderson,et al.  The application of density functional theory and the generalized mean spherical approximation to double layers containing strongly coupled ions , 2002 .

[192]  Jianzhong Wu,et al.  Density functional theory for semiflexible and cyclic polyatomic fluids. , 2004, The Journal of chemical physics.

[193]  A. Laaksonen,et al.  A density functional study of liquid–liquid interfaces in partially miscible systems , 1999 .

[194]  J. D. Parsons Nematic ordering in a system of rods , 1979 .

[195]  Shoji Takada,et al.  Competition between protein folding and aggregation with molecular chaperones in crowded solutions: insight from mesoscopic simulations. , 2003, Biophysical journal.

[196]  Arup K. Chakraborty,et al.  Molecular modeling and theory in chemical engineering , 2001 .

[197]  Stanley I. Sandler,et al.  Modeling Vapor-Liquid Equilibria: Cubic Equations of State and their Mixing Rules , 1998 .

[198]  D. Frenkel,et al.  Entropy-driven formation of a superlattice in a hard-sphere binary mixture , 1993, Nature.

[199]  Density functional theory for hard spherocylinders: phase transitions in the bulk and in the presence of external fields , 1999 .

[200]  C. Radke,et al.  Molecular orientation of aqueous surfactants on a hydrophobic solid , 1980 .

[201]  H. Lekkerkerker,et al.  ON THE ISOTROPIC-LIQUID CRYSTAL PHASE SEPARATION IN A SOLUTION OF RODLIKE PARTICLES OF DIFFERENT LENGTHS , 1984 .

[202]  I. Hamley Nanostructure fabrication using block copolymers , 2003 .

[203]  A. Yethiraj,et al.  Density functional theory for nonuniform polymers: Accurate treatment of the effect of attractive interactions , 2003 .

[204]  Zhen‐Gang Wang Morphology, fluctuation, metastability, and kinetics in ordered block copolymers , 2001 .

[205]  Vicente A Talanquer,et al.  A density-functional approach to nucleation in micellar solutions , 2000 .

[206]  Bonn,et al.  First-order and critical wetting of alkanes on water , 2000, Physical review letters.

[207]  D. Henderson,et al.  Local density of overlapping spheres near a hard wall: A density functional approach , 1995 .

[208]  P. Couchman,et al.  Surface tension of polymer liquids , 1987 .

[209]  M. Fisher,et al.  Multicriticality of Wetting, Prewetting, and Surface Transitions , 1982 .

[210]  H. Löwen Density functional theory: from statics to dynamics , 2003 .

[211]  B. Laird,et al.  Density functional theory of freezing: Analysis of crystal density , 1987 .

[212]  K. Schweizer,et al.  Integral Equation Theories of the Structure, Thermodynamics, and Phase Transitions of Polymer Fluids , 2007 .

[213]  J. D. de Pablo,et al.  Potential of mean force between two nanometer-scale particles in a polymer solution. , 2005, The Journal of chemical physics.

[214]  Wasan Surfactants in Chemical/Process Engineering , 1988 .

[215]  A. Galindo,et al.  Recent advances in the use of the SAFT approach in describing electrolytes, interfaces, liquid crystals and polymers , 2001 .

[216]  A. Yethiraj,et al.  Density functional theory for inhomogeneous polymer solutions , 1994 .

[217]  David P. Landau,et al.  Computer simulations of surfaces and interfaces , 2003 .

[218]  Dietrich,et al.  Density-functional theory for the freezing of Stockmayer fluids. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[219]  G. Fredrickson,et al.  Block copolymer thermodynamics: theory and experiment. , 1990, Annual review of physical chemistry.

[220]  Jianzhong Wu,et al.  A fundamental-measure theory for inhomogeneous associating fluids , 2002 .

[221]  D. Wasan,et al.  Density-functional theory for an electrolyte confined by thin charged walls. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[222]  A. Bosch Review of Mesoscopic Modeling of Liquids in Materials Science , 2003 .

[223]  K. Gubbins,et al.  Phase equilibria of associating fluids : spherical molecules with multiple bonding sites , 1988 .

[224]  N. Ashcroft,et al.  Weighted-density-functional theory of inhomogeneous liquids and the freezing transition. , 1985, Physical review. A, General physics.

[225]  J. McCoy,et al.  Density functional theory of simple polymers in a slit pore. I. Theory and efficient algorithm , 2000 .

[226]  K. Gubbins,et al.  Characterization of porous materials using molecular theory and simulation , 2001 .

[227]  K. E. Starling,et al.  Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres , 1971 .

[228]  Anna C Balazs,et al.  Modeling the self-assembly of copolymer-nanoparticle mixtures confined between solid surfaces. , 2003, Physical review letters.

[229]  N. Chatterjee Equations of State for Fluids and Fluid Mixtures , 1991 .

[230]  M. Baus REVIEW ARTICLE: The present status of the density-functional theory of the liquid-solid transition , 1990 .

[231]  D. Bonn,et al.  Wetting of Alkanes on Water from a Cahn-Type Theory: Effects of Long-Range Forces , 1999 .

[232]  Walter G Chapman,et al.  Associating fluids with four bonding sites against a hard wall: density functional theory , 1997 .

[233]  D. Oxtoby,et al.  Classical density functional study of mixed amphiphile mesostructures. , 2003, The Journal of chemical physics.

[234]  J. Pablo,et al.  Molecular simulations in chemical engineering: Present and future , 2002 .

[235]  K. Mecke,et al.  Curvature expansion of density profiles , 2005 .

[236]  Sullivan,et al.  Density-functional theory of inhomogeneous systems of hard spherocylinders , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[237]  A. Yethiraj,et al.  Monte Carlo density functional theory of nonuniform polymer melts , 1995 .

[238]  N. Ashcroft,et al.  GENERALIZED DENSITY FUNCTIONAL THEORY , 1997 .

[239]  J. Hansen,et al.  Wetting transitions of ionic solutions. , 2004, The Journal of chemical physics.

[240]  Swapan K. Ghosh,et al.  Structure of nonuniform fluid mixtures: A self-consistent density-functional approach , 2002 .

[241]  C. Shew,et al.  Density functional theory for pair correlation functions in polymeric liquids , 2001 .

[242]  M. Baus,et al.  Density-functional theory of the columnar phase of discotic Gay–Berne molecules , 2002 .

[243]  Walter G Chapman,et al.  Binary associating fluid mixtures against a hard wall: density functional theory and simulation , 2001 .