메뉴 건너뛰기




Volumn 33, Issue 2, 2011, Pages 633-652

Efficient sampling of saddle points with the minimum-mode following method

Author keywords

Adaptive kinetic monte carlo; Atomistic dynamics; Minimum mode following method; Saddle point determination

Indexed keywords

COMPUTATION THEORY; MONTE CARLO METHODS;

EID: 79957620877     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/100792743     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 84925105968 scopus 로고    scopus 로고
    • Saddlepoint approximations with applications
    • Cambridge University Press, Cambridge, UK
    • R. W. BUTLER, Saddlepoint approximations with applications, Camb. Ser. Stat. Probab. Math., Cambridge University Press, Cambridge, UK, 2007.
    • (2007) Camb. Ser. Stat. Probab. Math.
    • Butler, R.W.1
  • 2
    • 5344232822 scopus 로고
    • Effects of the electron interaction on the energy levels of electrons in metals
    • E. WIGNER, Effects of the electron interaction on the energy levels of electrons in metals, Trans. Faraday Soc, 34 (1938), pp. 678-685.
    • (1938) Trans. Faraday Soc. , vol.34 , pp. 678-685
    • Wigner, E.1
  • 3
    • 2142746284 scopus 로고
    • The activated complex in chemical reactions
    • H. EYRING, The activated complex in chemical reactions, J. Chem. Phys., 3 (1935), pp. 107-116.
    • (1935) J. Chem. Phys. , vol.3 , pp. 107-116
    • Eyring, H.1
  • 4
    • 4244179012 scopus 로고
    • Frequency factors and isotope effects in solid state rate processes
    • G. H. VINEYARD, Frequency factors and isotope effects in solid state rate processes, J. Phys. Chem. Solids, 3 (1957), pp. 121-127.
    • (1957) J. Phys. Chem. Solids , vol.3 , pp. 121-127
    • Vineyard, G.H.1
  • 5
    • 0034513054 scopus 로고    scopus 로고
    • Climbing image nudged elastic band method for finding saddle points and minimum energy paths
    • DOI 10.1063/1.1329672
    • G. HENKELMAN, B. UBERUAGA, AND H. JÓNSSON, A climbing image nudged elastic band method for finding saddle points and minimum energy paths, J. Chem. Phys., 113 (2000), pp. 9901-9904. (Pubitemid 32076883)
    • (2000) Journal of Chemical Physics , vol.113 , Issue.22 , pp. 9901-9904
    • Henkelman, G.1    Uberuaga, B.P.2    Jonsson, H.3
  • 6
    • 1242329035 scopus 로고    scopus 로고
    • Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points
    • DOI 10.1063/1.1323224
    • G. HENKELMAN AND H. JÓNSSON, Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points, J. Chem. Phys., 113 (2000), pp. 9978-9985. (Pubitemid 32076892)
    • (2000) Journal of Chemical Physics , vol.113 , Issue.22 , pp. 9978-9985
    • Henkelman, G.1    Jonsson, H.2
  • 7
    • 0006278248 scopus 로고
    • Diffusion path for an Al adatom on Al (001)
    • P. J. FEIBELMAN, Diffusion path for an Al adatom on Al (001), Phys. Rev. Lett., 65 (1990), pp. 729-732.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 729-732
    • Feibelman, P.J.1
  • 8
    • 0000640789 scopus 로고
    • Low-temperature homoepitaxial growth of Pt (111) in simulated vapor deposition
    • M. VILLARBA AND H. JÓNSSON, Low-temperature homoepitaxial growth of Pt (111) in simulated vapor deposition, Phys. Rev. B, 49 (1994), pp. 2208-2211.
    • (1994) Phys. Rev. B. , vol.49 , pp. 2208-2211
    • Villarba, M.1    Jónsson, H.2
  • 9
    • 0035584869 scopus 로고    scopus 로고
    • Long time scale kinetic Monte Carlo simulations without lattice approximation and predefined event table
    • DOI 10.1063/1.1415500
    • G. HENKELMAN AND H. JÓNSSON, Long time scale kinetic Monte Carlo simulations without lattice approximation and predefined event table, J. Chem. Phys., 115 (2001), pp. 9657-9666. (Pubitemid 33147327)
    • (2001) Journal of Chemical Physics , vol.115 , Issue.21 , pp. 9657-9666
    • Henkelman, G.1    Jonsson, H.2
  • 10
    • 0038643156 scopus 로고    scopus 로고
    • Multiple time scale simulations of metal crystal growth reveal importance of multi-atom surface processes
    • article 116101
    • G. HENKELMAN AND H. JÓNSSON, Multiple time scale simulations of metal crystal growth reveal importance of multi-atom surface processes, Phys. Rev. Lett., 90 (2003), article 116101.
    • (2003) Phys. Rev. Lett. , vol.90
    • Henkelman, G.1    Jónsson, H.2
  • 11
    • 67949121777 scopus 로고    scopus 로고
    • Long time scale simulation of a grain boundary in copper
    • article 073034
    • A. PEDERSEN, G. HENKELMAN, J. SCHIØTZ, AND H. JÓNSSON, Long time scale simulation of a grain boundary in copper, New J. Phys., 11 (2009), article 073034.
    • (2009) New J. Phys. , vol.11
    • Pedersen, A.1    Henkelman, G.2    Schiøtz, J.3    Jónsson, H.4
  • 12
    • 67650224797 scopus 로고    scopus 로고
    • Simulations of hydrogen diffusion at grain boundaries in aluminum
    • A. PEDERSEN AND H. JÓNSSON, Simulations of hydrogen diffusion at grain boundaries in aluminum, Acta Mater., 57 (2009), pp. 4036-4045.
    • (2009) Acta Mater. , vol.57 , pp. 4036-4045
    • Pedersen, A.1    Jónsson, H.2
  • 13
    • 77950858372 scopus 로고    scopus 로고
    • Distributed implementation of the adaptive kinetic Monte Carlo method
    • A. PEDERSEN AND H. JÓNSSON, Distributed implementation of the adaptive kinetic Monte Carlo method, Math. Comput. Simul., 80 (2010), pp. 1487-1498.
    • (2010) Math. Comput. Simul. , vol.80 , pp. 1487-1498
    • Pedersen, A.1    Jónsson, H.2
  • 14
    • 0000220710 scopus 로고    scopus 로고
    • Methods for finding saddle points and minimum energy paths
    • E. D. B. J. Berne, G. Ciccotti, and D. F. Coker, eds., World Scientific, River Edge, NJ
    • H. JÓNSSON, G. MILLS, AND K. W. JACOBSEN, Methods for finding saddle points and minimum energy paths, in Classical and Quantum Dynamics in Condensed Phase Simulations, E. D. B. J. Berne, G. Ciccotti, and D. F. Coker, eds., World Scientific, River Edge, NJ, 1998, pp. 385-404.
    • (1998) Classical and Quantum. Dynamics in Condensed Phase Simulations , pp. 385-404
    • Jónsson, H.1    Mills, G.2    Jacobsen, K.W.3
  • 15
    • 36749114393 scopus 로고
    • On finding transition states
    • C. J. CERJAN AND W. H. MILLER, On finding transition states, J. Chem. Phys., 75 (1981), pp. 2800-2807.
    • (1981) J. Chem. Phys. , vol.75 , pp. 2800-2807
    • Cerjan, C.J.1    Miller, W.H.2
  • 17
    • 0001505621 scopus 로고    scopus 로고
    • Surveying a potential energy surface by eigenvector-following: Applications to global optimisation and the structural transformations of clusters
    • J. P. K. DOYE AND D. J. WALES, Surveying a potential energy surface by eigenvector-following: Applications to global optimisation and the structural transformations of clusters, Z. Phys. D., 40 (1997), pp. 194-197. (Pubitemid 127817584)
    • (1997) Zeitschrift fur Physik D-Atoms Molecules and Clusters , vol.40 , Issue.1-4 , pp. 194-197
    • Doye, J.P.K.1    Wales, D.J.2
  • 18
    • 0000327364 scopus 로고    scopus 로고
    • A dimer method for finding saddle points on high dimensional potential surfaces using only first derivatives
    • G. HENKELMAN AND H. JÓNSSON, A dimer method for finding saddle points on high dimensional potential surfaces using only first derivatives, J. Chem. Phys., 111 (1999), pp. 7010-7022. (Pubitemid 129579526)
    • (1999) Journal of Chemical Physics , vol.111 , Issue.15 , pp. 7010-7022
    • Henkelman, G.1    Jonsson, H.2
  • 19
    • 0001361692 scopus 로고    scopus 로고
    • Transition states and rearrangement mechanisms from hybrid eigenvector-following and density functional theory
    • Y. KUMEDA, D. WALES, AND L. J. MUNRO, Transition states and rearrangement mechanisms from hybrid eigenvector-following and density functional theory, Chem. Phys. Lett., 341 (2001), pp. 185-194.
    • (2001) Chem. Phys. Lett. , vol.341 , pp. 185-194
    • Kumeda, Y.1    Wales, D.2    Munro, L.J.3
  • 20
    • 0033235339 scopus 로고    scopus 로고
    • Nobel lecture: Electronic structure of matter - Wave functions and density functional
    • W. KOHN, Nobel lecture: Electronic structure of matter-wave functions and density functionals, Rev. Mod. Phys., 71 (1999), pp. 1253-1266. (Pubitemid 129329208)
    • (1999) Reviews of Modern Physics , vol.71 , Issue.5 , pp. 1253-1266
    • Kohn, W.1
  • 21
    • 47749154776 scopus 로고    scopus 로고
    • Dimer saddle point searches to determine the reactivity of formate on Cu (111)
    • D. MEI, L. XU, AND G. HENKELMAN, Dimer saddle point searches to determine the reactivity of formate on Cu (111), J. Catal., 258 (2008), pp. 44-51.
    • (2008) J. Catal. , vol.258 , pp. 44-51
    • Mei, D.1    Xu, L.2    Henkelman, G.3
  • 22
    • 33846526837 scopus 로고    scopus 로고
    • Pathfinder: A parallel search algorithm for concerted atomistic events
    • DOI 10.1016/j.cpc.2006.11.003, PII S0010465506003948
    • A. NAKANO, Pathfinder: A parallel search algorithm for concerted atomistic events, Comput. Phys. Commun., 176 (2007), pp. 292-299. (Pubitemid 46156936)
    • (2007) Computer Physics Communications , vol.176 , Issue.4 , pp. 292-299
    • Nakano, A.1
  • 23
    • 10844224689 scopus 로고    scopus 로고
    • Comparison of methods for finding saddle points without knowledge of the final states
    • DOI 10.1063/1.1809574
    • R. A. OLSEN, G. J. KROES, G. HENKELMAN, A. ARNALDSSON, AND H. JÓNSSON, Comparison of methods for finding saddle points without knowledge of the final states, J. Chem. Phys., 121 (2004), pp. 9776-9792. (Pubitemid 40005747)
    • (2004) Journal of Chemical Physics , vol.121 , Issue.20 , pp. 9776-9792
    • Olsen, R.A.1    Kroes, G.J.2    Henkelman, G.3    Arnaldsson, A.4    Jonsson, H.5
  • 24
    • 0034505723 scopus 로고    scopus 로고
    • Dynamics of Lennard-Jones clusters: A characterization of the activation-relaxation technique
    • R. MALEK AND N. MOUSSEAU Dynamics of Lennard-Jones clusters: A characterization of the activation-relaxation technique, Phys. Rev. E, 62 (2000), pp. 7723-7728.
    • (2000) Phys. Rev. E , vol.62 , pp. 7723-7728
    • Malek, R.1    Mousseau, N.2
  • 26
    • 25344457226 scopus 로고
    • Interatomic interactions in the effectivemedium theory
    • K. W. JACOBSEN, J. K. NØRSKOV, AND M. J. PUSKA, Interatomic interactions in the effectivemedium theory, Phys. Rev. B, 35 (1987), pp. 7423-7442.
    • (1987) Phys. Rev. B. , vol.35 , pp. 7423-7442
    • Jacobsen, K.W.1    Nørskov, J.K.2    Puska, M.J.3
  • 27
    • 0030257432 scopus 로고    scopus 로고
    • A semi-empirical effective medium theory for metals and alloys
    • DOI 10.1016/0039-6028(96)00816-3, PII S0039602896008163
    • K. W. JACOBSEN, P. STOLTZE, AND J. K. NØRSKOV, A semi-empirical effective medium theory for metals and alloys, Surf. Sci., 366 (1996), pp. 394-402. (Pubitemid 126385604)
    • (1996) Surface Science , vol.366 , Issue.2 , pp. 394-402
    • Jacobsen, K.W.1    Stoltze, P.2    Norskov, J.K.3
  • 28
    • 0011690680 scopus 로고    scopus 로고
    • Methods for finding saddle points and minimum energy paths
    • E. D. S. D. Schwartz, ed., Kluwar Academic Publishers, Dordrecht
    • G. HENKELMAN, G. JÓHANNESSON, AND H. JÓNSSON, Methods for finding saddle points and minimum energy paths, in Progress on Theoretical Chemistry and Physics, E. D. S. D. Schwartz, ed., Kluwar Academic Publishers, Dordrecht, 2000, pp. 269-300.
    • (2000) Progress on Theoretical Chemistry and Physics , pp. 269-300
    • Henkelman, G.1    Jóhannesson, G.2    Jónsson, H.3
  • 29
    • 0000554678 scopus 로고
    • Structural changes accompanying densification of random hard sphere packings
    • A. S. CLARKE AND H. JÓNSSON, Structural changes accompanying densification of random hard sphere packings, Phys. Rev. E, 47 (1993), pp. 3975-3984.
    • (1993) Phys. Rev. E , vol.47 , pp. 3975-3984
    • Clarke, A.S.1    Jónsson, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.