Coarse-graining dipolar interactions in simple fluids and polymer solutions: Monte Carlo studies of the phase behavior.

In this paper we investigate the phase diagram of pure dipolar substances and their mixtures with short alkanes, using grand canonical Monte Carlo simulations of simplified coarse-grained models. Recently, an efficient coarse-grained model for simple quadrupolar molecules, based on a Lennard-Jones (LJ) interaction plus a spherically averaged quadrupolar potential, has been shown to be successful in predicting single-component and mixture phase diagrams. Motivated by these results, we investigate the phase diagrams of simple dipolar molecules (and their mixtures with alkanes) using a spherically averaged potential. First, we test the model on pure components. A generalized (state-dependent) mapping procedure allows us to recycle Monte Carlo results of the simple Lennard-Jones (LJ) potential. Considering ammonia, nitrous oxide, and hydrogen sulfide, we generally observe improvements in the single-component phase diagram compared to a pure LJ description, but also some discrepancies in the coexistence pressure near the critical point and in the liquid branch of the coexistence densities well below criticality. In addition, we present results for mixtures. We consider mixtures of ammonia (NH3) with methane (CH4), nonane (C9H20) and hexadecane (C16H34)--for which experimental results are available--and compare the predictions from this modeling ansatz with predictions from simple LJ models. We also present results for the hydrogen sulfide-pentane mixture (H2S and C5H12) for which big discrepancies between simulations and experiments are present. Possible explanations for these discrepancies and limitations of the modeling are discussed.

[1]  B. Smit,et al.  Phase diagrams of Lennard‐Jones fluids , 1992 .

[2]  K. Binder,et al.  Critical lines and phase coexistence of polymer solutions: A quantitative comparison between Wertheim’s thermodynamic perturbation theory and computer simulations , 2002 .

[3]  C. Vega,et al.  Reaction field simulations of the vapor-liquid equilibria of dipolar fluids : Does the reaction field dielectric constant affect the coexistence properties? , 1994 .

[4]  Kurt Binder,et al.  Finite-size scaling at first-order phase transitions , 1984 .

[5]  Matej Praprotnik,et al.  Multiscale simulation of soft matter: from scale bridging to adaptive resolution. , 2008, Annual review of physical chemistry.

[6]  E. A. Müller,et al.  Molecular Modeling of Fluid-Phase Equilibria Using an Isotropic Multipolar Potential , 2003 .

[7]  M. Wertheim,et al.  Thermodynamic perturbation theory of polymerization , 1987 .

[8]  G. Stell Critical Behavior of Polar Fluids , 1974 .

[9]  Equation of state and critical behavior of polymer models: A quantitative comparison between Wertheim’s thermodynamic perturbation theory and computer simulations , 2000, cond-mat/0005191.

[10]  G. Kamath,et al.  Effect of partial charge parametrization on the fluid phase behavior of hydrogen sulfide. , 2005, The Journal of chemical physics.

[11]  William L. Jorgensen,et al.  Intermolecular potential functions and Monte Carlo simulations for liquid sulfur compounds , 1986 .

[12]  Berend Smit,et al.  Understanding molecular simulation: from algorithms to applications , 1996 .

[13]  K. Binder Finite size scaling analysis of ising model block distribution functions , 1981 .

[14]  Jack F Douglas,et al.  Flory-Huggins model of equilibrium polymerization and phase separation in the Stockmayer fluid. , 2004, Physical review letters.

[15]  A. Pádua,et al.  Interactions of nitrous oxide with fluorinated liquids. , 2006, The journal of physical chemistry. B.

[16]  S. Klapp,et al.  Vapor-liquid transitions of dipolar fluids in disordered porous media: performance of angle-averaged potentials. , 2004, The Journal of chemical physics.

[17]  Berg,et al.  Multicanonical ensemble: A new approach to simulate first-order phase transitions. , 1992, Physical review letters.

[18]  R. Hentschke,et al.  Phase behavior of the Stockmayer fluid via molecular dynamics simulation. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  K. Binder,et al.  Spherically averaged versus angle-dependent interactions in quadrupolar fluids. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  A. Fuchs,et al.  On the role of the definition of potential models in Gibbs ensemble phase equilibria simulations of the H2S-pentane mixture , 2000 .

[21]  B. Sage,et al.  PHASE EQUILIBRIA IN HYDROCARBON SYSTEMS - Volumetric and Phase Behavior of n-Pentane–Hydrogen Sulfide System , 1951 .

[22]  Alan M. Ferrenberg,et al.  New Monte Carlo technique for studying phase transitions. , 1988, Physical review letters.

[23]  William A. Wakeham,et al.  Intermolecular Forces: Their Origin and Determination , 1983 .

[24]  E. Brunner,et al.  Fluid mixtures at high pressures IV. Isothermal phase equilibria in binary mixtures consisting of (methanol + hydrogen or nitrogen or methane or carbon monoxide or carbon dioxide) , 1987 .

[25]  C. Peters,et al.  Nomenclature for phase diagrams with particular reference to vapour–liquid and liquid–liquid equilibria (Technical report) , 1998 .

[26]  K. Binder,et al.  Towards the Quantitative Prediction of the Phase Behavior of Polymer Solutions by Computer Simulation , 2009 .

[27]  G. Grest,et al.  Dynamics of entangled linear polymer melts: A molecular‐dynamics simulation , 1990 .

[28]  E. Brunner Fluid mixtures at high pressures. VII: Phase separations and critical phenomena in 12 binary mixtures containing ammonia , 1988 .

[29]  F. Keil,et al.  New force fields for nitrous oxide and oxygen and their application to phase equilibria simulations , 2007 .

[30]  Jeffrey J. Potoff,et al.  Critical point and phase behavior of the pure fluid and a Lennard-Jones mixture , 1998 .

[31]  J. Kolafa,et al.  Molecular theory of phase equilibria in model and real associated mixtures III. Binary solutions of inert gases and n-alkanes in ammonia and methanol , 1997 .

[32]  E. Brunner Fluid mixtures at high pressures. VI: Phase separation and critical phenomena in 18 (n-alkane+ammonia) and 4(n-alkane+methanol) mixtures , 1988 .

[33]  S. Klapp Dipolar fluids under external perturbations , 2005 .

[34]  E. A. Müller,et al.  Location of phase equilibria by temperature-quench molecular dynamics simulations , 2002 .

[35]  Jackson,et al.  Island of vapor-liquid coexistence in dipolar hard-core systems. , 1996, Physical review letters.

[36]  O. H. Scalise On the phase equilibrium Stockmayer fluids , 2007 .

[37]  C. Vega,et al.  Phase diagram of water from computer simulation. , 2004, Physical review letters.

[38]  Criticality in strongly correlated fluids , 2001, cond-mat/0111247.

[39]  Yiping Tang,et al.  Analytical equation of state based on the Ornstein-Zernike equation , 1997 .

[40]  K. Binder,et al.  Efficient prediction of thermodynamic properties of quadrupolar fluids from simulation of a coarse-grained model: the case of carbon dioxide. , 2008, The Journal of chemical physics.

[41]  C. McCabe,et al.  Phase behavior of dipolar fluids from a modified statistical associating fluid theory for potentials of variable range. , 2006, The Journal of chemical physics.

[42]  E. A. Müller,et al.  On the Calculation of Supercritical Fluid−Solid Equilibria by Molecular Simulation , 2003 .

[43]  A. Panagiotopoulos,et al.  Phase Behavior of Binary Stockmayer and Polarizable Lennard-Jones Fluid Mixtures Using Adiabatic Nuclear and Electronic Sampling , 2006 .

[44]  T. Kristóf,et al.  Effective Intermolecular Potential for Fluid Hydrogen Sulfide , 1997 .

[45]  A. Panagiotopoulos Direct determination of phase coexistence properties of fluids by Monte Carlo simulation in a new ensemble , 1987 .

[46]  Kurt Binder,et al.  Monte Carlo calculation of the surface tension for two- and three-dimensional lattice-gas models , 1982 .

[47]  Shyamal K. Nath,et al.  Molecular Simulation of Vapor−Liquid Phase Equilibria of Hydrogen Sulfide and Its Mixtures with Alkanes , 2003 .

[48]  R. Scott,et al.  Static properties of solutions. Van der Waals and related models for hydrocarbon mixtures , 1970 .

[49]  Smit,et al.  What makes a polar liquid a liquid? , 1993, Physical Review Letters.

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

[51]  K. Binder,et al.  Phase behavior of n-alkanes in supercritical solution: a Monte Carlo study. , 2004, The Journal of chemical physics.

[52]  C. Borgs,et al.  A rigorous theory of finite-size scaling at first-order phase transitions , 1990 .

[53]  D. Landau,et al.  Determining the density of states for classical statistical models: a random walk algorithm to produce a flat histogram. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[54]  I. R. Mcdonald,et al.  Intermolecular potentials and the properties of liquid and solid hydrogen sulphide , 1989 .

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

[56]  B. Smit,et al.  Vapour-liquid equilibria for Stockmayer fluids , 1989 .

[57]  Phase coexistence of a Stockmayer fluid in an applied field. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[58]  J. Rasaiah,et al.  Thermodynamic perturbation theory for simple polar fluids. II , 1972 .

[59]  Kenji Kiyohara,et al.  Phase coexistence properties of polarizable Stockmayer fluids , 1996, physics/9610022.

[60]  A. Panagiotopoulos Direct Determination of Fluid Phase Equilibria by Simulation in the Gibbs Ensemble: A Review , 1992 .

[61]  Matthias Wessling,et al.  Bicontinuous Nanoporous Polymers by Carbon Dioxide Foaming , 2001 .

[62]  Chongli Zhong,et al.  Molecular simulation of vapor–liquid equilibria of toxic gases , 2004 .

[63]  Weis,et al.  Orientational order in simple dipolar liquid-crystal models. , 1992, Physical review letters.

[64]  Peter Virnau,et al.  Calculation of free energy through successive umbrella sampling. , 2004, The Journal of chemical physics.

[65]  R. Sadus Molecular simulation of the vapour-liquid equilibria of pure fluids and binary mixtures containing dipolar components: the effect of Keesom interactions , 1996 .

[66]  M. Dijkstra,et al.  Phase behavior of dipolar hard and soft spheres. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[67]  P. H. van Konynenburg,et al.  Critical lines and phase equilibria in binary van der Waals mixtures , 1980, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[68]  I. R. Mcdonald,et al.  Theory of simple liquids , 1998 .

[69]  B. Smit,et al.  Vapour-liquid equilibria of Stockmayer fluids: computer simulations and perturbation theory , 1993 .

[70]  M. V. Leeuwen Derivation of Stockmayer potential parameters for polar fluids , 1994 .

[71]  D. Lévesque,et al.  Liquid-vapor coexistence in fluids of dipolar hard dumbbells and spherocylinders , 1999 .

[72]  Jeffrey J. Potoff,et al.  Surface tension of the three-dimensional Lennard-Jones fluid from histogram-reweighting Monte Carlo simulations , 2000 .