1
|
Wu XW, Shi J, Wang WC. A stepwise simulation approach to the chemical potential of fluids. CHINESE J CHEM 2010. [DOI: 10.1002/cjoc.19940120202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
|
2
|
Heinbuch U, Fischer J. On the Application of Widom's Test Particle Method to Homogeneous and Inhomogeneous Fluids. MOLECULAR SIMULATION 2007. [DOI: 10.1080/08927028708080935] [Citation(s) in RCA: 61] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Uwe Heinbuch
- a Institut für Thermo- und Fluiddynamik, Ruhr-Universität , D-4630 , Bochum 1 , FRG
| | - Johann Fischer
- a Institut für Thermo- und Fluiddynamik, Ruhr-Universität , D-4630 , Bochum 1 , FRG
| |
Collapse
|
3
|
Bieshaar R, Geiger A, Medvedev NN. Calculation of Chemical Potentials by a Novel Delaunay-Simplex Sampling Technique for Particle Insertion. MOLECULAR SIMULATION 2006. [DOI: 10.1080/08927029508024054] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
4
|
Randelman RE, Grest GS, Radosz M. Monte Carlo Simulations of the Chemical Potential and Free Energy for Trimer and Hexamer Rings. MOLECULAR SIMULATION 2006. [DOI: 10.1080/08927028908032784] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- R. E. Randelman
- a Corporate Research, Science Laboratory, Exxon Research and Engineering Company , Annandale , New Jersey , 08801 , USA
- b Department of Chemical Engineering , Lehigh University , Bethlehem , Pennsylvania , 18015 , USA
| | - Gary S. Grest
- a Corporate Research, Science Laboratory, Exxon Research and Engineering Company , Annandale , New Jersey , 08801 , USA
| | - M. Radosz
- a Corporate Research, Science Laboratory, Exxon Research and Engineering Company , Annandale , New Jersey , 08801 , USA
| |
Collapse
|
5
|
Rowley RL, Shupe TD, Schuck MW. A direct method for determination of chemical potential with molecular dynamics simulations. Mol Phys 2006. [DOI: 10.1080/00268979400100614] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
6
|
van 't Hof A, de Leeuw SW, Peters CJ. Computing the starting state for Gibbs-Duhem integration. J Chem Phys 2006; 124:054905. [PMID: 16468916 DOI: 10.1063/1.2137705] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Abstract
Gibbs-Duhem integration implies the numerical integration of a Clapeyron equation. To start the numerical integration, an initial coexistence point and a corresponding initial slope of the Clapeyron equation are needed. In order to apply Gibbs-Duhem integration to all kinds of systems at diverse physical conditions, one has to investigate and assess the available methods that can be used to compute these initial values. This publication focuses on vapor-liquid equilibria in binary mixtures comprising chain molecules. The initial coexistence point is either computed with the NVbeta Gibbs ensemble or with the Npbeta+test molecule method with overlapping distributions, which is introduced in this publication. Although computationally demanding, the Npbeta+test molecule method with overlapping distributions is applicable at conditions where the NVbeta Gibbs ensemble fails. We investigated three methods that can be employed to compute the initial slope of the Clapeyron equation. The Widom method and the overlapping-distributions difference method provide correct values for the initial slope. The difference method does only provide the correct answer in special cases. The possibility to judge the reliability of the results makes the overlapping-distributions difference method the safest route to the initial slope. Gibbs-Duhem integration requires the frequent computation of the slope of the Clapeyron equation. This slope depends on ensemble averages of the composition. A new bias method for efficient sampling of the composition in a semigrand-canonical simulation of chain molecules is presented. This bias method considerably enhances the composition sampling in systems comprising chain molecules of different sizes.
Collapse
Affiliation(s)
- A van 't Hof
- Physical Chemistry and Molecular Thermodynamics, Faculty of Applied Sciences, Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherlands
| | | | | |
Collapse
|
7
|
Ferrario M, Ciccotti G, Spohr E, Cartailler T, Turq P. Solubility of KF in water by molecular dynamics using the Kirkwood integration method. J Chem Phys 2002. [DOI: 10.1063/1.1498820] [Citation(s) in RCA: 80] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
8
|
PANAGIOTOPOULOS ATHANASSIOSZ. Direct determination of phase coexistence properties of fluids by Monte Carlo simulation in a new ensemble. Mol Phys 2002. [DOI: 10.1080/00268970110097866] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
|
9
|
Lu N, Kofke DA. Accuracy of free-energy perturbation calculations in molecular simulation. I. Modeling. J Chem Phys 2001. [DOI: 10.1063/1.1359181] [Citation(s) in RCA: 124] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
10
|
|
11
|
KOFKE DAVIDA, CUMMINGS PETERT. Quantitative comparison and optimization of methods for evaluating the chemical potential by molecular simulation. Mol Phys 1997. [DOI: 10.1080/002689797169600] [Citation(s) in RCA: 140] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
|
12
|
Sokhan VP. The Chemical Potential of Dense Liquids by the Coupled Test Particle Method. MOLECULAR SIMULATION 1997. [DOI: 10.1080/08927029708024149] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
13
|
Parsonage NG. A Grand-Canonical Ensemble Monte Carlo Study of the Effects of Change of Core Size on the Thermodynamic Properties of a Modified Lennard-Jones Fluid. MOLECULAR SIMULATION 1997. [DOI: 10.1080/08927029708024148] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
14
|
Bojan MJ, Steele WA. Theoretical Analysis of Computer Simulations of Sorption in a Cylindrical Micropore. MOLECULAR SIMULATION 1996. [DOI: 10.1080/08927029608024114] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
15
|
Liu A. Excess Thermodynamic Properties of CO2+ C2H6Mixtures from MD Simulations. MOLECULAR SIMULATION 1996. [DOI: 10.1080/08927029608024097] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
16
|
|
17
|
Powles JG, Holtz B, Evans WAB. New method for determining the chemical potential for condensed matter at high density. J Chem Phys 1994. [DOI: 10.1063/1.468417] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
18
|
|
19
|
Lustig R. Statistical thermodynamics in the classical molecular dynamics ensemble. III. Numerical results. J Chem Phys 1994. [DOI: 10.1063/1.466448] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
20
|
Fay PJ, Ray JR, Wolf RJ. Detailed balance method for chemical potential determination in Monte Carlo and molecular dynamics simulations. J Chem Phys 1994. [DOI: 10.1063/1.466512] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
21
|
Zeng J, Craw JS, Hush NS, Reimers JR. Solvent effects on molecular spectra. I. Normal pressure and temperature Monte Carlo simulations of the structure of dilute pyrimidine in water. J Chem Phys 1993. [DOI: 10.1063/1.465317] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
22
|
de Miguel E. System-size effects at the isotropic-nematic transition from computer simulation. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 47:3334-3342. [PMID: 9960386 DOI: 10.1103/physreve.47.3334] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
23
|
Zeng J, Hush N, Reimers J. Enthalpy of hydration and partial molar specific volume as criteria for evaluation of intermolecular potentials. NPT-ensemble Monte Carlo calculations for dilute neon in water. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)85558-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
24
|
Kumar SK. A modified real particle method for the calculation of the chemical potentials of molecular systems. J Chem Phys 1992. [DOI: 10.1063/1.462989] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
25
|
Kumar SK, Szleifer I, Panagiotopoulos AZ. Determination of the chemical potentials of polymeric systems from Monte Carlo simulations. PHYSICAL REVIEW LETTERS 1991; 66:2935-2938. [PMID: 10043657 DOI: 10.1103/physrevlett.66.2935] [Citation(s) in RCA: 111] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
26
|
Han K‐K, Cushman JH, Diestler DJ. A new computational approach to the chemical potential. J Chem Phys 1990. [DOI: 10.1063/1.458653] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
27
|
|
28
|
|
29
|
Deitrick GL, Scriven LE, Davis HT. Efficient molecular simulation of chemical potentials. J Chem Phys 1989. [DOI: 10.1063/1.455979] [Citation(s) in RCA: 162] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
30
|
Gubbins KE. The Role of Computer Simulation in Studying Fluid Phase Equilibria. MOLECULAR SIMULATION 1989. [DOI: 10.1080/08927028908034604] [Citation(s) in RCA: 65] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
31
|
Sindzingre P, Massobrio C, Ciccotti G, Frenkel D. Calculation of partial enthalpies of an argon-krypton mixture by NPT molecular dynamics. Chem Phys 1989. [DOI: 10.1016/0301-0104(89)80007-2] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
|
32
|
|
33
|
Panagiotopoulos AZ. Direct determination of phase coexistence properties of fluids by Monte Carlo simulation in a new ensemble. Mol Phys 1987. [DOI: 10.1080/00268978700101491] [Citation(s) in RCA: 1471] [Impact Index Per Article: 39.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
34
|
Heinbuch U, Fischer J. Liquid argon in a cylindrical carbon pore: molecular dynamics and born-green-yvon results. Chem Phys Lett 1987. [DOI: 10.1016/0009-2614(87)85216-8] [Citation(s) in RCA: 47] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
35
|
Sindzingre P, Ciccotti G, Massobrio C, Frenkel D. Partial enthalpies and related quantities in mixtures from computer simulation. Chem Phys Lett 1987. [DOI: 10.1016/0009-2614(87)87294-9] [Citation(s) in RCA: 75] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
36
|
Bohn M, Saager B, Holzapfel K, Fischer J. Studies on phase equilibria of two-centre Lennard-Jones fluids. Mol Phys 1986. [DOI: 10.1080/00268978600102171] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
37
|
Shing KS. Infinite‐dilution activity coefficients of quadrupolar Lennard‐Jones mixtures from computer simulation. J Chem Phys 1986. [DOI: 10.1063/1.451759] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
38
|
|
39
|
|