Spherically averaged versus angle-dependent interactions in quadrupolar fluids.

Employing simplified models in computer simulation is on the one hand often enforced by computer time limitations but on the other hand it offers insights into the molecular properties determining a given physical phenomenon. We employ this strategy to the determination of the phase behavior of quadrupolar fluids, where we study the influence of omitting angular degrees of freedom of molecules via an effective spherically symmetric potential obtained from a perturbative expansion. Comparing the liquid-vapor coexistence curve, vapor pressure at coexistence, interfacial tension between the coexisting phases, etc., as obtained from both the models with the full quadrupolar interactions and the (approximate) isotropic interactions, we find discrepancies in the critical region to be typically (such as in the case of carbon dioxide) of the order of 4%. However, when the Lennard-Jones parameters are rescaled such that critical temperatures and critical densities of both models coincide with the experimental results, almost perfect agreement between the above-mentioned properties of both models is obtained. This result justifies the use of isotropic quadrupolar potentials. We also present a detailed comparison of our simulations with a combined integral equation-density functional approach and show that the latter provides an accurate description except for the vicinity of the critical point.

[1]  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.

[2]  S. Amokrane,et al.  Integral Equations for the Pair Structure: An Efficient Method for Studying the Potential of Mean Force in Strongly Confined Colloids† , 2007 .

[3]  S. Amokrane,et al.  Ornstein–Zernike equations for highly asymmetric mixtures: confronting the no-solution challenge , 2006 .

[4]  Philippe Ungerer,et al.  Critical point estimation of the Lennard-Jones pure fluid and binary mixtures. , 2006, The Journal of chemical physics.

[5]  S. Amokrane,et al.  Potential of mean force in confined colloids: integral equations with fundamental measure bridge functions. , 2005, The Journal of chemical physics.

[6]  Zhenhao Duan,et al.  An optimized molecular potential for carbon dioxide. , 2005, The Journal of chemical physics.

[7]  M. Fisher,et al.  Fluid coexistence close to criticality: scaling algorithms for precise simulation , 2004, Comput. Phys. Commun..

[8]  M. Oettel Integral equations for simple fluids in a general reference functional approach , 2004, cond-mat/0410185.

[9]  J. Horbach,et al.  Critical behaviour and interfacial fluctuations in a phase-separating model colloid–polymer mixture: grand canonical Monte Carlo simulations , 2004 .

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

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

[12]  J. Sengers,et al.  Critical fluctuations and the equation of state of Van der Waals , 2004 .

[13]  M. Oettel Depletion force between two large spheres suspended in a bath of small spheres: onset of the Derjaguin limit. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[15]  Erik Luijten,et al.  Precise simulation of near-critical fluid coexistence. , 2003, Physical review letters.

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

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

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

[19]  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 .

[20]  G. Stell,et al.  Globally accurate theory of structure and thermodynamics for soft-matter liquids , 2002 .

[21]  Hans Hasse,et al.  A Set of Molecular Models for Symmetric Quadrupolar Fluids , 2001 .

[22]  Berend Smit,et al.  Understanding Molecular Simulation , 2001 .

[23]  S. Amokrane,et al.  Asymmetric binary mixtures with attractive forces: towards a quantitative description of the potential of mean force , 2001 .

[24]  Kurt Binder,et al.  Monte Carlo tests of renormalization-group predictions for critical phenomena in Ising models , 2001 .

[25]  H. Hasse,et al.  Comprehensive study of the vapour–liquid equilibria of the pure two-centre Lennard–Jones plus pointquadrupole fluid , 2001, 0904.3413.

[26]  E. Vogel,et al.  A new intermolecular potential energy surface for carbon dioxide from ab initio calculations , 2000 .

[27]  Madrid,et al.  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.

[28]  A. Panagiotopoulos,et al.  Vapor+liquid equilibrium of water, carbon dioxide, and the binary system, water+carbon dioxide, from molecular simulation , 2000 .

[29]  Betsy M. Rice,et al.  Intermolecular potential of carbon dioxide dimer from symmetry-adapted perturbation theory , 1999 .

[30]  K. Binder Applications of Monte Carlo methods to statistical physics , 1997 .

[31]  Bildstein,et al.  Structure and thermodynamics of binary liquid mixtures: Universality of the bridge functional. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[33]  Kwong H. Yung,et al.  Carbon Dioxide's Liquid-Vapor Coexistence Curve And Critical Properties as Predicted by a Simple Molecular Model , 1995 .

[34]  Luciano Reatto,et al.  Liquid state theories and critical phenomena , 1995 .

[35]  Y. Rosenfeld,et al.  Free energy model for inhomogeneous fluid mixtures: Yukawa‐charged hard spheres, general interactions, and plasmas , 1993 .

[36]  B. C. Garrett,et al.  Constant pressure–constant temperature simulations of liquid water and carbon dioxide , 1993 .

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

[38]  B. Ladanyi,et al.  A comparison of models for depolarized light scattering in supercritical CO2 , 1990 .

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

[40]  B. Kuchta,et al.  Static and dynamic properties of solid CO2 at various temperatures and pressures , 1989 .

[41]  G. W. Robinson,et al.  Molecular dynamics study of liquid carbon monoxide , 1989 .

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

[43]  D. Stauffer Monte Carlo simulations in statistical physics , 1988 .

[44]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

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

[46]  H. Böhm,et al.  Molecular dynamics simulation of liquid CS2 , 1985 .

[47]  H. Böhm,et al.  Molecular dynamics simulation of liquid CH3F, CHF3, CH3Cl, CH3CN, CO2 and CS2 with new pair potentials , 1984 .

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

[49]  N. Ashcroft,et al.  Solutions of the reference-hypernetted-chain equation with minimized free energy , 1983 .

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

[51]  Ian R. McDonald,et al.  Interaction site models for carbon dioxide , 1981 .

[52]  Kurt Binder,et al.  Finite size scaling analysis of ising model block distribution functions , 1981 .

[53]  H. Stanley,et al.  Introduction to Phase Transitions and Critical Phenomena , 1972 .

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

[55]  Tohru Morita,et al.  A New Approach to the Theory of Classical Fluids. I , 1960 .

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

[57]  K. Binder,et al.  A Guide to Monte Carlo Simulations in Statistical Physics: Preface , 2005 .

[58]  D. Frenkel,et al.  Understanding molecular simulation : from algorithms to applications. 2nd ed. , 2002 .

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

[60]  H. Gausterer,et al.  Computational Methods in Field Theory , 1992 .

[61]  Keith E. Gubbins,et al.  Theory of molecular fluids , 1984 .

[62]  G. Richards Intermolecular forces , 1978, Nature.

[63]  R. E. Mills,et al.  Critical phenomena. , 1971, Science.

[64]  John S. Rowlinson,et al.  Liquids and liquid mixtures , 1959 .