메뉴 건너뛰기




Volumn 55, Issue 10, 2010, Pages 4140-4146

Calculation of the chemical potential beyond the first-order free-energy perturbation: From deletion to reinsertion

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL POTENTIAL; DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF STATE; INTELLIGENT SYSTEMS; KINETIC THEORY; MONTE CARLO METHODS; PERTURBATION TECHNIQUES;

EID: 77958008286     PISSN: 00219568     EISSN: 15205134     Source Type: Journal    
DOI: 10.1021/je100015v     Document Type: Article
Times cited : (15)

References (50)
  • 1
    • 0141827417 scopus 로고
    • Advanced Simulation techniques
    • In, 1st ed.; Clarendon Press: Oxford
    • Allen, M. P. and Tildesley, D. J. Advanced Simulation techniques. In Computer simulation of liquids, 1st ed.; Clarendon Press: Oxford, 1987; pp 212-219.
    • (1987) Computer Simulation of Liquids , pp. 212-219
    • Allen, M.P.1    Tildesley, D.J.2
  • 2
    • 0003399724 scopus 로고    scopus 로고
    • Free Energy Calculation
    • In, 2nd ed.; Academic Press: New York
    • Frenkel, D. and Smit, B. Free Energy Calculation. In Understanding Molecular Simulation, 2nd ed.; Academic Press: New York, 2002; pp 167-285.
    • (2002) Understanding Molecular Simulation , pp. 167-285
    • Frenkel, D.1    Smit, B.2
  • 3
    • 0032173123 scopus 로고    scopus 로고
    • Precision and accuracy of staged free-energy perturbation methods for computing the chemical potential by molecular simulation
    • Kofke, D. A.; Cummings, P. T. Precision and accuracy of staged free-energy perturbation methods for computing the chemical potential by molecular simulation Fluid Phase Equilib. 1998, 151, 41-49
    • (1998) Fluid Phase Equilib. , vol.151 , pp. 41-49
    • Kofke, D.A.1    Cummings, P.T.2
  • 4
    • 0000521710 scopus 로고    scopus 로고
    • Quantitative comparison and optimization of methods for evaluating the chemical potential by molecular simulation
    • Kofke, D. A.; Cummings, P. T. Quantitative comparison and optimization of methods for evaluating the chemical potential by molecular simulation Mol. Phys. 1997, 92 (6) 973-996
    • (1997) Mol. Phys. , vol.92 , Issue.6 , pp. 973-996
    • Kofke, D.A.1    Cummings, P.T.2
  • 5
    • 33748594217 scopus 로고    scopus 로고
    • Chemical-potential paradox in molecular simulation - Explanation and Monte Carlo results for a Lennard-Jones fluid
    • Parsonage, N. G. Chemical-potential paradox in molecular simulation-Explanation and Monte Carlo results for a Lennard-Jones fluid J. Chem. Soc. Faraday Trans. 1996, 92 (7) 1129-1134
    • (1996) J. Chem. Soc. Faraday Trans. , vol.92 , Issue.7 , pp. 1129-1134
    • Parsonage, N.G.1
  • 6
    • 0000739598 scopus 로고
    • Determination of the chemical potential by the particle insertion method and by its inverse
    • Parsonage, N. G. Determination of the chemical potential by the particle insertion method and by its inverse J. Chem. Soc. Faraday Trans. 1995, 91 (17) 2971-2973
    • (1995) J. Chem. Soc. Faraday Trans. , vol.91 , Issue.17 , pp. 2971-2973
    • Parsonage, N.G.1
  • 7
    • 0035504337 scopus 로고    scopus 로고
    • Calculation of the chemical potential of chain molecules using the staged particle deletion scheme
    • Boulougouris, G. C.; Economou, I. G.; Theodorou, D. N. Calculation of the chemical potential of chain molecules using the staged particle deletion scheme J. Chem. Phys. 2001, 115 (17) 8231-8237
    • (2001) J. Chem. Phys. , vol.115 , Issue.17 , pp. 8231-8237
    • Boulougouris, G.C.1    Economou, I.G.2    Theodorou, D.N.3
  • 8
    • 0000769793 scopus 로고    scopus 로고
    • On the calculation of the chemical potential using the particle deletion scheme
    • Boulougouris, G. C.; Economou, I. G.; Theodorou, D. N. On the calculation of the chemical potential using the particle deletion scheme Mol. Phys. 1999, 96 (6) 905-913
    • (1999) Mol. Phys. , vol.96 , Issue.6 , pp. 905-913
    • Boulougouris, G.C.1    Economou, I.G.2    Theodorou, D.N.3
  • 10
    • 31144440467 scopus 로고    scopus 로고
    • A reversible minimum-to-minimum mapping method for the calculation of free-energy differences
    • 034109
    • Theodorou, D. N. A reversible minimum-to-minimum mapping method for the calculation of free-energy differences J. Chem. Phys. 2006, 124 034109
    • (2006) J. Chem. Phys. , vol.124
    • Theodorou, D.N.1
  • 11
    • 70349592987 scopus 로고    scopus 로고
    • Molecular simulation of ionic liquids: Current status and future opportunities
    • Maginn, E. J. Molecular simulation of ionic liquids: current status and future opportunities J. Phys.: Condens. Matter 2009, 21, 37
    • (2009) J. Phys.: Condens. Matter , vol.21 , pp. 37
    • Maginn, E.J.1
  • 12
    • 6744231939 scopus 로고
    • The chemical potential in dense fluids and fluid mixtures via computer simulation
    • Shing, K. S.; Gubbins, K. E. The chemical potential in dense fluids and fluid mixtures via computer simulation Mol. Phys. 1982, 46 (5) 1109-1128
    • (1982) Mol. Phys. , vol.46 , Issue.5 , pp. 1109-1128
    • Shing, K.S.1    Gubbins, K.E.2
  • 13
    • 66549130812 scopus 로고    scopus 로고
    • 2 in Glassy Atactic Polystyrene at Elevated Pressures Through a New Computational Scheme
    • 2 in Glassy Atactic Polystyrene at Elevated Pressures Through a New Computational Scheme Macromolecules 2009, 42 (5) 1759-1769
    • (2009) Macromolecules , vol.42 , Issue.5 , pp. 1759-1769
    • Spyriouni, T.1    Boulougouris, G.C.2    Theodorou, D.N.3
  • 14
    • 0142184070 scopus 로고    scopus 로고
    • Computing Hydrophobicity
    • Lipkowitz, K. B.; Larter, P.; Cundari, T.; Boyd, D. B., Eds. John Wiley & Son, Inc.: New Jersey
    • Smit, D. E.; Haymet, D. J. Computing Hydrophobicity. In Reviews in Computational Chemistry; Lipkowitz, K. B.; Larter, P.; Cundari, T.; Boyd, D. B., Eds.; John Wiley & Son, Inc.: New Jersey, 2003; pp 44-73.
    • (2003) Reviews in Computational Chemistry , pp. 44-73
    • Smit, D.E.1    Haymet, D.J.2
  • 15
    • 17544366862 scopus 로고    scopus 로고
    • Free energy methods in molecular simulation
    • Kofke, D. A. Free energy methods in molecular simulation Fluid Phase Equilib. 2005, 228-229, 41-48
    • (2005) Fluid Phase Equilib. , vol.228-229 , pp. 41-48
    • Kofke, D.A.1
  • 16
    • 4243754128 scopus 로고    scopus 로고
    • Nonequilibrium Equality for Free Energy Differences
    • Jarzynski, C. Nonequilibrium Equality for Free Energy Differences Phys. Rev. Lett. 1997, 78 (14) 2690
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.14 , pp. 2690
    • Jarzynski, C.1
  • 17
    • 33845554689 scopus 로고
    • Potential-distribution theory and the statistical mechanics of fluids
    • Widom, B. Potential-distribution theory and the statistical mechanics of fluids J. Chem. Phys. 1982, 86, 869-872
    • (1982) J. Chem. Phys. , vol.86 , pp. 869-872
    • Widom, B.1
  • 18
    • 0035899164 scopus 로고    scopus 로고
    • Henry's constant analysis for water and nonpolar solvents from experimental data, macroscopic models, and molecular simulation
    • Boulougouris, G. C.; Voutsas, E. C.; Economou, I. G.; Theodorou, D. N.; Tassios, D. P. Henry's constant analysis for water and nonpolar solvents from experimental data, macroscopic models, and molecular simulation J. Phys. Chem. B 2001, 105 (32) 7792-7798
    • (2001) J. Phys. Chem. B , vol.105 , Issue.32 , pp. 7792-7798
    • Boulougouris, G.C.1    Voutsas, E.C.2    Economou, I.G.3    Theodorou, D.N.4    Tassios, D.P.5
  • 19
    • 77957978225 scopus 로고    scopus 로고
    • Ph.D. National Technical University of Athens, Athens.
    • Boulougouris, G. C. Ph.D., National Technical University of Athens, Athens, 2001.
    • (2001)
    • Boulougouris, G.C.1
  • 20
    • 5244304444 scopus 로고
    • Efficient estimation of free energy differences from Monte Carlo data
    • Bennett, C. H. Efficient estimation of free energy differences from Monte Carlo data J. Comput. Phys. 1976, 22, 245-268
    • (1976) J. Comput. Phys. , vol.22 , pp. 245-268
    • Bennett, C.H.1
  • 21
    • 41349105094 scopus 로고    scopus 로고
    • Targeted free energy perturbation
    • (046122
    • Jarzynski, C. Targeted free energy perturbation Phys. Rev. E 2002, 65 (4 046122
    • (2002) Phys. Rev. e , vol.65 , Issue.4
    • Jarzynski, C.1
  • 22
    • 84986532462 scopus 로고
    • Free energy difference calculations by thermodynamic integration: Difficulties in obtaining a precise value
    • Mitchell, M. J.; McCammon, J. A. Free energy difference calculations by thermodynamic integration: difficulties in obtaining a precise value J. Comput. Chem. 1991, 12 (2) 271-275
    • (1991) J. Comput. Chem. , vol.12 , Issue.2 , pp. 271-275
    • Mitchell, M.J.1    McCammon, J.A.2
  • 23
    • 24944447090 scopus 로고    scopus 로고
    • Determination of Henry's law constants through transition matrix Monte Carlo simulation
    • Cichowski, E. C.; Schmidt, T. R.; Errington, J. R. Determination of Henry's law constants through transition matrix Monte Carlo simulation Fluid Phase Equilib. 2005, 236 (1-2) 58-65
    • (2005) Fluid Phase Equilib. , vol.236 , Issue.1-2 , pp. 58-65
    • Cichowski, E.C.1    Schmidt, T.R.2    Errington, J.R.3
  • 24
    • 84953648015 scopus 로고
    • New approach to Monte Carlo calculation of the free energy: Method of expanded ensembles
    • Lyubartsev, A. P.; Martsinovski, A. A.; Shevkunov, S. V.; Vorontsov-Velyaminov, P. N. New approach to Monte Carlo calculation of the free energy: Method of expanded ensembles J. Chem. Phys. 1992, 96 (3) 1776-1783
    • (1992) J. Chem. Phys. , vol.96 , Issue.3 , pp. 1776-1783
    • Lyubartsev, A.P.1    Martsinovski, A.A.2    Shevkunov, S.V.3    Vorontsov-Velyaminov, P.N.4
  • 25
    • 0001358780 scopus 로고    scopus 로고
    • Solvation free energies of methane and alkali halide ion pairs: An expanded ensemble molecular dynamics simulation study
    • Lyubartsev, A. P.; Forrisdahl, O. K.; Laaksonen, A. Solvation free energies of methane and alkali halide ion pairs: An expanded ensemble molecular dynamics simulation study J. Chem. Phys. 1998, 108 (1) 227-233
    • (1998) J. Chem. Phys. , vol.108 , Issue.1 , pp. 227-233
    • Lyubartsev, A.P.1    Forrisdahl, O.K.2    Laaksonen, A.3
  • 26
    • 0342929614 scopus 로고
    • Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling
    • Torrie, G. M.; Valleau, J. P. Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling J. Comput. Phys. 1977, 23 (2) 187-199
    • (1977) J. Comput. Phys. , vol.23 , Issue.2 , pp. 187-199
    • Torrie, G.M.1    Valleau, J.P.2
  • 27
    • 36449007317 scopus 로고
    • Umbrella-sampling realization of "widom" chemical potential estimation
    • Ding, K.; Valleau, J. P. Umbrella-sampling realization of "Widom" chemical potential estimation J. Chem. Phys. 1993, 98 (4) 3306-3312
    • (1993) J. Chem. Phys. , vol.98 , Issue.4 , pp. 3306-3312
    • Ding, K.1    Valleau, J.P.2
  • 28
    • 65549167862 scopus 로고    scopus 로고
    • Optimizing the switching function for nonequilibrium free-energy calculations: An on-the-fly approach
    • Gerrick, E. L. Optimizing the switching function for nonequilibrium free-energy calculations: An on-the-fly approach J. Chem. Phys. 2009, 130 (17) 174705
    • (2009) J. Chem. Phys. , vol.130 , Issue.17 , pp. 174705
    • Gerrick, E.L.1
  • 29
    • 1542347541 scopus 로고    scopus 로고
    • A non-equilibrium free energy theorem for deterministic systems
    • Evans, D. J. A non-equilibrium free energy theorem for deterministic systems Mol. Phys. 2003, 101 (10) 1551-1554
    • (2003) Mol. Phys. , vol.101 , Issue.10 , pp. 1551-1554
    • Evans, D.J.1
  • 30
    • 0032023968 scopus 로고    scopus 로고
    • Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems
    • Crooks, G. Nonequilibrium Measurements of Free Energy Differences for Microscopically Reversible Markovian Systems J. Stat. Phys. 1998, 90 (5) 1481-1487 (Pubitemid 128362974)
    • (1998) Journal of Statistical Physics , vol.90 , Issue.5-6 , pp. 1481-1487
    • Crooks, G.E.1
  • 31
    • 44649134762 scopus 로고    scopus 로고
    • Optimum bias for fast-switching free energy calculations
    • Oberhofer, H.; Dellago, C. Optimum bias for fast-switching free energy calculations Comput. Phys. Commun. 2008, 179 (1-3) 41-45
    • (2008) Comput. Phys. Commun. , vol.179 , Issue.1-3 , pp. 41-45
    • Oberhofer, H.1    Dellago, C.2
  • 32
    • 34547318783 scopus 로고    scopus 로고
    • Single molecule pulling with large time steps
    • (061106
    • Oberhofer, H.; Dellago, C.; Boresch, S. Single molecule pulling with large time steps Phys. Rev. E 2007, 75 (6 061106
    • (2007) Phys. Rev. e , vol.75 , Issue.6
    • Oberhofer, H.1    Dellago, C.2    Boresch, S.3
  • 33
    • 47349112432 scopus 로고    scopus 로고
    • Measurement of nonequilibrium entropy from space-time thermodynamic integration
    • 024116
    • Manuel, A.; Gilles, A. Measurement of nonequilibrium entropy from space-time thermodynamic integration J. Chem. Phys. 2008, 129 024116
    • (2008) J. Chem. Phys. , vol.129
    • Manuel, A.1    Gilles, A.2
  • 34
    • 17444372741 scopus 로고    scopus 로고
    • Biased Sampling of Nonequilibrium Trajectories: Can Fast Switching Simulations Outperform Conventional Free Energy Calculation Methods
    • Oberhofer, H.; Dellago, C.; Geissler, P. L. Biased Sampling of Nonequilibrium Trajectories: Can Fast Switching Simulations Outperform Conventional Free Energy Calculation Methods J. Phys. Chem. B 2005, 109 (14) 6902-6915
    • (2005) J. Phys. Chem. B , vol.109 , Issue.14 , pp. 6902-6915
    • Oberhofer, H.1    Dellago, C.2    Geissler, P.L.3
  • 35
    • 47249155183 scopus 로고    scopus 로고
    • Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
    • (024114
    • Gomez-Marin, A.; Schmiedl, T.; Seifert, U. Optimal protocols for minimal work processes in underdamped stochastic thermodynamics J. Chem. Phys. 2008, 129 (2 024114
    • (2008) J. Chem. Phys. , vol.129 , Issue.2
    • Gomez-Marin, A.1    Schmiedl, T.2    Seifert, U.3
  • 36
    • 36849103820 scopus 로고
    • Role of Repulsive Forces in Determining Equilibrium Structure of Simple Liquids
    • Weeks, J. D.; Chandler, D.; Andersen, H. C. Role of Repulsive Forces in Determining Equilibrium Structure of Simple Liquids. J. Chem. Phys. 1971, 54, 5237
    • (1971) J. Chem. Phys. , vol.54 , pp. 5237
    • Weeks, J.D.1    Chandler, D.2    Andersen, H.C.3
  • 37
    • 0011325942 scopus 로고
    • The statistical mechanics of systems with steep intermolecular potentials
    • Rowlinson, J. S. The statistical mechanics of systems with steep inermolecular potentials Mol. Phys. 1964, 8, 107
    • (1964) Mol. Phys. , vol.8 , pp. 107
    • Rowlinson, J.S.1
  • 38
    • 0004392192 scopus 로고
    • An equation of state of gases at high temperatures and densities
    • Rowlinson, J. S. An equation of state of gases at high temperatures and densities Mol. Phys. 1964, 7, 349
    • (1964) Mol. Phys. , vol.7 , pp. 349
    • Rowlinson, J.S.1
  • 39
    • 77958000793 scopus 로고    scopus 로고
    • Rowlinson's Concept of an Effective Hard Sphere Diameter
    • DOI: 10.1021/je9009464.
    • Henderson, D. Rowlinson's Concept of an Effective Hard Sphere Diameter. J. Chem. Eng. Data 2009, DOI: 10.1021/je9009464.
    • (2009) J. Chem. Eng. Data
    • Henderson, D.1
  • 40
    • 36849122972 scopus 로고
    • High-temperature equation of state by a perturbation method I. Nonpolar gases
    • Zwanzig, R. W. High-temperature equation of state by a perturbation method I. Nonpolar gases J. Chem. Phys. 1954, 22, 1420-1426
    • (1954) J. Chem. Phys. , vol.22 , pp. 1420-1426
    • Zwanzig, R.W.1
  • 41
    • 22544446558 scopus 로고
    • Analytical treatment of the volume and surface-area of molecules formed by an arbitrary collection of unequal spheres intersected by planes
    • Dodd, L. R.; Theodorou, D. N. Analytical treatment of the volume and surface-area of molecules formed by an arbitrary collection of unequal spheres intersected by planes Mol. Phys. 1991, 72 (6) 1313-1345
    • (1991) Mol. Phys. , vol.72 , Issue.6 , pp. 1313-1345
    • Dodd, L.R.1    Theodorou, D.N.2
  • 42
    • 59349106251 scopus 로고    scopus 로고
    • Probing subglass relaxation in polymers via a geometric representation of probabilities, observables, and relaxation modes for discrete stochastic systems
    • Boulougouris, G. C.; Theodorou, D. N. Probing subglass relaxation in polymers via a geometric representation of probabilities, observables, and relaxation modes for discrete stochastic systems J. Chem. Phys. 2009, 130 (4 044905-7
    • (2009) J. Chem. Phys. , vol.130 , Issue.4 , pp. 044905-044907
    • Boulougouris, G.C.1    Theodorou, D.N.2
  • 43
    • 33646037865 scopus 로고
    • The Lennard-Jones equation of state revisited
    • 618.
    • Johnson, J. K.; Zollweg, J. A.; Gubbins, K. E. The Lennard-Jones equation of state revisited. Mol. Phys. 1993, 78 (3), 591-618.
    • (1993) Mol. Phys. , vol.78 , Issue.3 , pp. 591
    • Johnson, J.K.1    Zollweg, J.A.2    Gubbins, K.E.3
  • 44
    • 77952481150 scopus 로고    scopus 로고
    • Prediction of infinite dilution benzene solubility in linear polyethylene melts via the Direct Particle Deletion method
    • accepted.
    • De Angelis, M. G.; Boulougouris, G. C.; Theodorou, D. N. Prediction of infinite dilution benzene solubility in linear polyethylene melts via the Direct Particle Deletion method. J. Phys. Chem. B 2010, accepted.
    • (2010) J. Phys. Chem. B
    • De Angelis, M.G.1    Boulougouris, G.C.2    Theodorou, D.N.3
  • 45
    • 3943092257 scopus 로고
    • Phase equilibria by simulation in the Gibbs ensemble: Alternative derivation, generalization and application to mixture and membrane equilibria
    • Panagiotopoulos, A. Z. Q. N.; Stapleton, M.; Tildesley, D. J. Phase equilibria by simulation in the Gibbs ensemble: alternative derivation, generalization and application to mixture and membrane equilibria Mol. Phys. 1988, 63, 527-545
    • (1988) Mol. Phys. , vol.63 , pp. 527-545
    • Panagiotopoulos, A.Z.Q.N.1    Stapleton, M.2    Tildesley, D.J.3
  • 46
    • 78751661892 scopus 로고
    • A Concerted Rotation Algorithm for Atomistic Monte Carlo Simulation of Polymer Melts and Glasses
    • Dodd, L. R.; Boone, T. D.; Theodorou, D. N. A Concerted Rotation Algorithm for Atomistic Monte Carlo Simulation of Polymer Melts and Glasses Mol. Phys. 1993, 78, 961-996
    • (1993) Mol. Phys. , vol.78 , pp. 961-996
    • Dodd, L.R.1    Boone, T.D.2    Theodorou, D.N.3
  • 49
    • 22544453898 scopus 로고    scopus 로고
    • Novel Monte Carlo scheme for systems with short-ranged interactions
    • Boulougouris, G. C.; Frenkel, D. Novel Monte Carlo scheme for systems with short-ranged interactions J. Chem. Phys. 2005, 122, 244106
    • (2005) J. Chem. Phys. , vol.122 , pp. 244106
    • Boulougouris, G.C.1    Frenkel, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.