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Volumn 135, Issue 6, 2011, Pages

Improving the convergence of closed and open path integral molecular dynamics via higher order Trotter factorization schemes

Author keywords

[No Author keywords available]

Indexed keywords

AB INITIO; BOLTZMANN OPERATORS; BULK SYSTEM; END-TO-END DISTANCES; HIGHER ORDER; HYDROGEN MOLECULE; MODEL SYSTEM; OPEN-PATH; PATH INTEGRAL; PATH-INTEGRAL MOLECULAR DYNAMICS; POSTERIORI; POTENTIAL UTILITY; WATER MODELS; WEIGHTING FACTORS;

EID: 80051893240     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3609120     Document Type: Article
Times cited : (71)

References (79)
  • 1
    • 34547361024 scopus 로고
    • 10.1103/RevModPhys.20.367
    • R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948). 10.1103/RevModPhys.20.367
    • (1948) Rev. Mod. Phys. , vol.20 , pp. 367
    • Feynman, R.P.1
  • 8
    • 36449000739 scopus 로고
    • 10.1063/1.465512
    • J. Cao and G. Voth, J. Chem. Phys. 99, 10070 (1993). 10.1063/1.465512
    • (1993) J. Chem. Phys. , vol.99 , pp. 10070
    • Cao, J.1    Voth, G.2
  • 9
    • 36449006832 scopus 로고
    • 10.1063/1.467176
    • J. Cao and G. Voth, J. Chem. Phys. 100, 5106 (1994). 10.1063/1.467176
    • (1994) J. Chem. Phys. , vol.100 , pp. 5106
    • Cao, J.1    Voth, G.2
  • 11
    • 4243606192 scopus 로고
    • 10.1103/PhysRevLett.55.2471
    • R. Car and M. Parrinello, Phys. Rev. Lett. 55, 2471 (1985). 10.1103/PhysRevLett.55.2471
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2471
    • Car, R.1    Parrinello, M.2
  • 13
    • 0000323669 scopus 로고    scopus 로고
    • in, NIC Series Vol. 1, edited by J. Grotendorst (Forschungszentrum, Jlich), p, ISBN 3-00-005834-6.
    • D. Marx and J. Hutter, in Modern Methods and Algorithms of Quantum Chemistry Proceedings, NIC Series Vol. 1, edited by, J. Grotendorst, (Forschungszentrum, Jlich, 2000), pp. 301-449, ISBN 3-00-005834-6.
    • (2000) Modern Methods and Algorithms of Quantum Chemistry Proceedings , pp. 301-449
    • Marx, D.1    Hutter, J.2
  • 19
    • 46949097364 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.101.017801
    • J. A. Morrone and R. Car, Phys. Rev. Lett. 101, 017801 (2008). 10.1103/PhysRevLett.101.017801
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 017801
    • Morrone, J.A.1    Car, R.2
  • 20
    • 0035926862 scopus 로고    scopus 로고
    • Heavy-atom skeleton quantization and proton tunneling in "intermediate-barrier" hydrogen bonds
    • DOI 10.1103/PhysRevLett.86.4946
    • M. E. Tuckerman and D. Marx, Phys. Rev. Lett. 86, 4946 (2001). 10.1103/PhysRevLett.86.4946 (Pubitemid 32505540)
    • (2001) Physical Review Letters , vol.86 , Issue.21 , pp. 4946-4949
    • Tuckerman, M.E.1    Marx, D.2
  • 21
    • 0001760211 scopus 로고    scopus 로고
    • An ab initio path integral molecular dynamics study of double proton transfer in the formic acid dimer
    • DOI 10.1063/1.477147, PII S0021960698511373
    • S. Miura, M. E. Tuckerman, and M. L. Klein, J. Chem. Phys. 109, 5290 (1998). 10.1063/1.477147 (Pubitemid 128678701)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.13 , pp. 5290-5299
    • Miura, S.1    Tuckerman, M.E.2    Klein, M.L.3
  • 22
    • 0031034836 scopus 로고    scopus 로고
    • On the quantum nature of the shared proton in hydrogen bonds
    • DOI 10.1126/science.275.5301.817
    • M. E. Tuckerman, D. Marx, M. L. Klein, and M. Parrinello, Science 275, 817 (1997). 10.1126/science.275.5301.817 (Pubitemid 27074879)
    • (1997) Science , vol.275 , Issue.5301 , pp. 817-820
    • Tuckerman, M.E.1    Marx, D.2    Klein, M.L.3    Parrinello, M.4
  • 24
    • 0033580290 scopus 로고    scopus 로고
    • The nature of the hydrated excess proton in water
    • DOI 10.1038/17579
    • D. Marx, M. E. Tuckerman, J. Hutter, and M. Parrinello, Nature (London) 397, 601 (1999). 10.1038/17579 (Pubitemid 29091942)
    • (1999) Nature , vol.397 , Issue.6720 , pp. 601-604
    • Marx, D.1    Tuckerman, M.E.2    Hutter, J.3    Parrinello, M.4
  • 26
    • 0037182850 scopus 로고    scopus 로고
    • The nature and transport mechanism of hydrated hydroxide ions in aqueous solution
    • DOI 10.1038/nature00797
    • M. E. Tuckerman, D. Marx, and M. Parrinello, Nature (London) 417, 925 (2002). 10.1038/nature00797 (Pubitemid 34716864)
    • (2002) Nature , vol.417 , Issue.6892 , pp. 925-929
    • Tuckerman, M.E.1    Marx, D.2    Parrinello, M.3
  • 27
    • 84968520470 scopus 로고
    • 10.1090/S0002-9939-1959-0108732-6
    • H. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959). 10.1090/S0002-9939- 1959-0108732-6
    • (1959) Proc. Am. Math. Soc. , vol.10 , pp. 545
    • Trotter, H.F.1
  • 28
  • 29
    • 2842574881 scopus 로고
    • 10.1143/JPSJ.53.3765
    • M. Takahashi and M. Imada, J. Phys. Soc. Japan 53, 3765 (1984), http://jpsj.ipap.jp/link?JPSJ/53/3765/. 10.1143/JPSJ.53.3765
    • (1984) J. Phys. Soc. Japan , vol.53 , pp. 3765
    • Takahashi, M.1    Imada, M.2
  • 34
    • 0039502533 scopus 로고    scopus 로고
    • 10.1016/S0375-9601(97)00003-0
    • S. A. Chin, Phys. Lett. A 226, 344 (1997). 10.1016/S0375-9601(97)00003-0
    • (1997) Phys. Lett. A , vol.226 , pp. 344
    • Chin, S.A.1
  • 35
    • 0035505130 scopus 로고    scopus 로고
    • Applications of higher order composite factorization schemes in imaginary time path integral simulations
    • DOI 10.1063/1.1410117
    • S. Jang, S. Jang, and G. A. Voth, J. Chem. Phys. 115, 7832 (2001). 10.1063/1.1410117 (Pubitemid 33080501)
    • (2001) Journal of Chemical Physics , vol.115 , Issue.17 , pp. 7832-7842
    • Jang, S.1    Jang, S.2    Voth, G.A.3
  • 38
    • 25144491602 scopus 로고    scopus 로고
    • Path-integral virial estimator based on the scaling of fluctuation coordinates: Application to quantum clusters with fourth-order propagators
    • DOI 10.1063/1.2013257, 104101
    • T. M. Yamamoto, J. Chem. Phys. 123, 104101 (2005). 10.1063/1.2013257 (Pubitemid 41338871)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.10 , pp. 1-9
    • Yamamoto, T.M.1
  • 43
    • 36449001194 scopus 로고
    • 10.1063/1.468503
    • J. Cao and G. A. Voth, J. Chem. Phys. 101, 6157 (1994). 10.1063/1.468503
    • (1994) J. Chem. Phys. , vol.101 , pp. 6157
    • Cao, J.1    Voth, G.A.2
  • 45
    • 0040658732 scopus 로고    scopus 로고
    • 10.1063/1.481490
    • S. Jang and G. Voth, J. Chem. Phys. 112, 8747 (2000). 10.1063/1.481490
    • (2000) J. Chem. Phys. , vol.112 , pp. 8747
    • Jang, S.1    Voth, G.2
  • 46
    • 33749237280 scopus 로고    scopus 로고
    • On the short-time limit of ring polymer molecular dynamics
    • DOI 10.1063/1.2357599
    • B. J. Braams and D. E. Manolopoulos, J. Chem. Phys. 125, 124105 (2006). 10.1063/1.2357599 (Pubitemid 44484188)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.12 , pp. 124105
    • Braams, B.J.1    Manolopoulos, D.E.2
  • 47
    • 18844390445 scopus 로고    scopus 로고
    • Quantum diffusion in liquid para-hydrogen from ring-polymer molecular dynamics
    • DOI 10.1063/1.1893956, 184503
    • T. F. Miller III and D. E. Manolopoulos, J. Chem. Phys. 122, 184503 (2005). 10.1063/1.1893956 (Pubitemid 40682828)
    • (2005) Journal of Chemical Physics , vol.122 , Issue.18 , pp. 1-7
    • Miller III, T.F.1    Manolopoulos, D.E.2
  • 48
    • 18844390445 scopus 로고    scopus 로고
    • Quantum diffusion in liquid water from ring polymer molecular dynamics
    • DOI 10.1063/1.2074967, 154504
    • T. F. Miller III and D. E. Manolopoulos, J. Chem. Phys. 123, 154504 (2005). 10.1063/1.2074967 (Pubitemid 41716932)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.15 , pp. 1-10
    • Miller III, T.F.1    Manolopoulos, D.E.2
  • 55
    • 0037039344 scopus 로고    scopus 로고
    • Adsorption and separation of hydrogen isotopes in carbon nanotubes: Multicomponent grand canonical Monte Carlo simulations
    • DOI 10.1063/1.1423665
    • S. R. Challa, D. S. Sholl, and J. K. Johnson, J. Chem. Phys. 116, 814 (2002). 10.1063/1.1423665 (Pubitemid 34064611)
    • (2002) Journal of Chemical Physics , vol.116 , Issue.2 , pp. 814-824
    • Challa, S.R.1    Sholl, D.S.2    Johnson, J.K.3
  • 60
    • 11944260941 scopus 로고
    • 10.1103/RevModPhys.67.279
    • D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995). 10.1103/RevModPhys.67.279
    • (1995) Rev. Mod. Phys. , vol.67 , pp. 279
    • Ceperley, D.M.1
  • 68
    • 10644250257 scopus 로고
    • 10.1103/PhysRev.136.B864
    • P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964). 10.1103/PhysRev.136.B864
    • (1964) Phys. Rev. , vol.136 , pp. 864
    • Hohenberg, P.1    Kohn, W.2
  • 69
    • 0042113153 scopus 로고
    • 10.1103/PhysRev.140.A1133
    • W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965). 10.1103/PhysRev.140.A1133
    • (1965) Phys. Rev. , vol.140 , pp. 1133
    • Kohn, W.1    Sham, L.J.2
  • 70
    • 80051885872 scopus 로고    scopus 로고
    • CPMD version 3.13.2, Copyright IBM Cor 1990-2008, Copyright MPI für Festkrperforschung Stuttgart , see.
    • CPMD version 3.13.2, Copyright IBM Corp. 1990-2008, Copyright MPI für Festkrperforschung Stuttgart (1997-2001), see http://www.cpmd.org/.
    • (1997)
  • 72
    • 4243553426 scopus 로고
    • 10.1103/PhysRevA.38.3098
    • A. D. Becke, Phys. Rev. A 38, 3098 (1988). 10.1103/PhysRevA.38.3098
    • (1988) Phys. Rev. A , vol.38 , pp. 3098
    • Becke, A.D.1
  • 74
  • 76
    • 0009482155 scopus 로고    scopus 로고
    • NIC Series Vol. 10, edited by J. Grotendorst, D. Marx, and A. Muramatsu (Forschungszentrum, Jlich), ISBN 3-00-009057-6.
    • Quantum Simulations of Complex Many-Body Systems: From Theory to Algorithms, NIC Series Vol. 10, edited by, J. Grotendorst, D. Marx, and, A. Muramatsu, (Forschungszentrum, Jlich, 2002), ISBN 3-00-009057-6.
    • (2002) Quantum Simulations of Complex Many-Body Systems: From Theory to Algorithms


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