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Antolović I, Vrabec J. Vapor–Liquid–Liquid Equilibria of Nitrogen + Ethane by Molecular Simulation. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.1c04726] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ivan Antolović
- Thermodynamics and Process Engineering, Technical University Berlin, Berlin 10587, Germany
| | - Jadran Vrabec
- Thermodynamics and Process Engineering, Technical University Berlin, Berlin 10587, Germany
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Mahynski NA, Errington JR, Shen VK. Multivariable extrapolation of grand canonical free energy landscapes. J Chem Phys 2018; 147:234111. [PMID: 29272947 DOI: 10.1063/1.5006906] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We derive an approach for extrapolating the free energy landscape of multicomponent systems in the grand canonical ensemble, obtained from flat-histogram Monte Carlo simulations, from one set of temperature and chemical potentials to another. This is accomplished by expanding the landscape in a Taylor series at each value of the order parameter which defines its macrostate phase space. The coefficients in each Taylor polynomial are known exactly from fluctuation formulas, which may be computed by measuring the appropriate moments of extensive variables that fluctuate in this ensemble. Here we derive the expressions necessary to define these coefficients up to arbitrary order. In principle, this enables a single flat-histogram simulation to provide complete thermodynamic information over a broad range of temperatures and chemical potentials. Using this, we also show how to combine a small number of simulations, each performed at different conditions, in a thermodynamically consistent fashion to accurately compute properties at arbitrary temperatures and chemical potentials. This method may significantly increase the computational efficiency of biased grand canonical Monte Carlo simulations, especially for multicomponent mixtures. Although approximate, this approach is amenable to high-throughput and data-intensive investigations where it is preferable to have a large quantity of reasonably accurate simulation data, rather than a smaller amount with a higher accuracy.
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Affiliation(s)
- Nathan A Mahynski
- Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, USA
| | - Jeffrey R Errington
- Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, New York 14260-4200, USA
| | - Vincent K Shen
- Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, USA
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Mahynski NA, Jiao S, Hatch HW, Blanco MA, Shen VK. Predicting structural properties of fluids by thermodynamic extrapolation. J Chem Phys 2018; 148:194105. [PMID: 30307179 PMCID: PMC6183068 DOI: 10.1063/1.5026493] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We describe a methodology for extrapolating the structural properties of multicomponent fluids from one thermodynamic state to another. These properties generally include features of a system that may be computed from an individual configuration such as radial distribution functions, cluster size distributions, or a polymer's radius of gyration. This approach is based on the principle of using fluctuations in a system's extensive thermodynamic variables, such as energy, to construct an appropriate Taylor series expansion for these structural properties in terms of intensive conjugate variables, such as temperature. Thus, one may extrapolate these properties from one state to another when the series is truncated to some finite order. We demonstrate this extrapolation for simple and coarse-grained fluids in both the canonical and grand canonical ensembles, in terms of both temperatures and the chemical potentials of different components. The results show that this method is able to reasonably approximate structural properties of such fluids over a broad range of conditions. Consequently, this methodology may be employed to increase the computational efficiency of molecular simulations used to measure the structural properties of certain fluid systems, especially those used in high-throughput or data-driven investigations.
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Affiliation(s)
- Nathan A. Mahynski
- Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, USA
| | - Sally Jiao
- Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA
| | - Harold W. Hatch
- Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, USA
| | - Marco A. Blanco
- Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, USA
- Institute for Bioscience and Biotechnology Research, University of Maryland, Rockville, Maryland 20850, USA
| | - Vincent K. Shen
- Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, USA
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Tang Y. A new method of semigrand canonical ensemble to calculate first-order phase transitions for binary mixtures. J Chem Phys 2012; 136:034505. [DOI: 10.1063/1.3677193] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yiping Tang
- Honeywell Process Solutions, 300-250 York St., London, Ontario N6A 6K2, Canada.
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Thermodynamic Properties for Applications in Chemical Industry via Classical Force Fields. MULTISCALE MOLECULAR METHODS IN APPLIED CHEMISTRY 2011; 307:201-49. [DOI: 10.1007/128_2011_164] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
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Eslami H, Müller-Plathe F. Molecular Dynamics Simulation of Sorption of Gases in Polystyrene. Macromolecules 2007. [DOI: 10.1021/ma070697+] [Citation(s) in RCA: 62] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Patrykiejew A, Pizio * O, SokoŁowski S. Demixing transitions in a binary Gaussian-core fluid confined in narrow slit-like pores. Mol Phys 2006. [DOI: 10.1080/00268970410001723055] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- A. Patrykiejew
- a Department for the Modelling of Physico-Chemical Processes , Faculty of Chemistry, MCS University , 20031 Lublin , Poland
| | - O. Pizio *
- b Instituto de Quimica , Universidad Nacional Autonoma de Mexico , Coyoacan 04510 , Mexico DF , Mexico
| | - S. SokoŁowski
- a Department for the Modelling of Physico-Chemical Processes , Faculty of Chemistry, MCS University , 20031 Lublin , Poland
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Stoll J, Vrabec J, Hasse H. Vapor–liquid equilibria of mixtures containing nitrogen, oxygen, carbon dioxide, and ethane. AIChE J 2006. [DOI: 10.1002/aic.690490826] [Citation(s) in RCA: 74] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Morrow TI, Maginn EJ. Isomolar semigrand ensemble molecular dynamics: Development and application to liquid-liquid equilibria. J Chem Phys 2005; 122:54504. [PMID: 15740336 DOI: 10.1063/1.1839172] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
An extended system molecular dynamics method for the isomolar semigrand ensemble (fixed number of particles, pressure, temperature, and fugacity fraction) is developed and applied to the calculation of liquid-liquid equilibria (LLE) for two Lennard-Jones mixtures. The method utilizes an extended system variable to dynamically control the fugacity fraction xi of the mixture by gradually transforming the identity of particles in the system. Two approaches are used to compute coexistence points. The first approach uses multiple-histogram reweighting techniques to determine the coexistence xi and compositions of each phase at temperatures near the upper critical solution temperature. The second approach, useful for cases in which there is no critical solution temperature, is based on principles of small system thermodynamics. In this case a coexistence point is found by running N-P-T-xi simulations at a common temperature and pressure and varying the fugacity fraction to map out the difference in chemical potential between the two species A and B (mu(A)-mu(B)) as a function of composition. Once this curve is known the equal-distance/equal-area criterion is used to determine the coexistence point. Both approaches give results that are comparable to those of previous Monte Carlo (MC) simulations. By formulating this approach in a molecular dynamics framework, it should be easier to compute the LLE of complex molecules whose intramolecular degrees of freedom are often difficult to properly sample with MC techniques.
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Affiliation(s)
- Timothy I Morrow
- Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, IN 46556, USA
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Merényi L, Kristóf T. The Extrapolation of Vapour–liquid Equilibrium Curves of Pure Fluids in Alternative Gibbs Ensemble Monte Carlo Implementations. MOLECULAR SIMULATION 2004. [DOI: 10.1080/08927020410001715373] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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VRABEC JADRAN, HASSE HANS. Grand Equilibrium: vapour-liquid equilibria by a new molecular simulation method. Mol Phys 2002. [DOI: 10.1080/00268970210153772] [Citation(s) in RCA: 98] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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KRISTÓF TAMÁS, LISZI JÁNOS, BODA DEZSŐ. The extrapolation of phase equilibrium curves of mixtures in the isobaric—isothermal Gibbs ensemble. Mol Phys 2002. [DOI: 10.1080/00268970210158641] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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BODA DEZSŐ, KRISTÓF TAMÁS, LISZI JÁNOS, SZALAI ISTVÁN. The extrapolation of the vapour—liquid equilibrium curves of pure fluids in the isothermal Gibbs ensemble. Mol Phys 2002. [DOI: 10.1080/00268970210130966] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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