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Volumn 243, Issue , 2013, Pages 244-259

A cluster expansion model for predicting activation barrier of atomic processes

Author keywords

Activation energies; Atomic processes; Cluster expansions; Diffusion; Monte Carlo

Indexed keywords

ATOMS; FORECASTING; MONTE CARLO METHODS;

EID: 84876300831     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.03.005     Document Type: Article
Times cited : (35)

References (44)
  • 2
    • 0003482692 scopus 로고    scopus 로고
    • CRC Press, Boca Raton, D.A. Porter, K.E. Easterling, M. Sherif (Eds.)
    • Phase Transformations in Metals and Alloys 2009, CRC Press, Boca Raton. D.A. Porter, K.E. Easterling, M. Sherif (Eds.).
    • (2009) Phase Transformations in Metals and Alloys
  • 4
    • 0036040917 scopus 로고    scopus 로고
    • Extending the time scales in atomistic simulation of materials
    • Voter A.F., Montalenti F., Germann T.C. Extending the time scales in atomistic simulation of materials. Annu. Rev. Mater. Res. 2002, 32:321-346.
    • (2002) Annu. Rev. Mater. Res. , vol.32 , pp. 321-346
    • Voter, A.F.1    Montalenti, F.2    Germann, T.C.3
  • 5
    • 0002296942 scopus 로고
    • A new algorithm for Monte Carlo simulations of using spin systems
    • Bortz A.B., Kalos M.H., Lebowitz J.L. A new algorithm for Monte Carlo simulations of using spin systems. J. Comput. Phys. 1975, 17:10-18.
    • (1975) J. Comput. Phys. , vol.17 , pp. 10-18
    • Bortz, A.B.1    Kalos, M.H.2    Lebowitz, J.L.3
  • 6
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic evolution of coupled chemical reactions
    • Gillespie D.T. A general method for numerically simulating the stochastic evolution of coupled chemical reactions. J. Comput. Phys. 1976, 22:403-434.
    • (1976) J. Comput. Phys. , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 7
    • 36448998595 scopus 로고
    • Theoretical foundations of dynamical Monte Carlo simulations
    • Fichthorn F.A., Weinberg W.H. Theoretical foundations of dynamical Monte Carlo simulations. J. Chem. Phys. 1991, 95:1090-1096.
    • (1991) J. Chem. Phys. , vol.95 , pp. 1090-1096
    • Fichthorn, F.A.1    Weinberg, W.H.2
  • 8
    • 33644660951 scopus 로고    scopus 로고
    • in: K.E. Sickafus, E.A. Kotomin, B.P. Uberuaga (Eds.), Radiation Effects in Solids
    • A.F. Voter, Introduction to the kinetic Monte Carlo method, in: K.E. Sickafus, E.A. Kotomin, B.P. Uberuaga (Eds.), Radiation Effects in Solids, 2006.
    • (2006) Introduction to the kinetic Monte Carlo method
    • Voter, A.F.1
  • 9
    • 33947237274 scopus 로고    scopus 로고
    • An overview of spatial microscopic and accelerated kinetic Monte Carlo methods
    • Chatterjee A., Vlachos D.G. An overview of spatial microscopic and accelerated kinetic Monte Carlo methods. J. Comput.-Aided Mater. Des. 2007, 14:253-308.
    • (2007) J. Comput.-Aided Mater. Des. , vol.14 , pp. 253-308
    • Chatterjee, A.1    Vlachos, D.G.2
  • 10
    • 4244179012 scopus 로고
    • Frequency factors and isotope effects in solid state rate processes
    • Vineyard G.H. Frequency factors and isotope effects in solid state rate processes. J. Phys. Chem. Solids 1957, 3:121-127.
    • (1957) J. Phys. Chem. Solids , vol.3 , pp. 121-127
    • Vineyard, G.H.1
  • 11
    • 0002722683 scopus 로고
    • Dynamical corrections to transition state theory for multistate systems: surface self-diffusion in the rare-event regime
    • Voter A.F., Doll J.D. Dynamical corrections to transition state theory for multistate systems: surface self-diffusion in the rare-event regime. J. Chem. Phys. 1985, 82:80-92.
    • (1985) J. Chem. Phys. , vol.82 , pp. 80-92
    • Voter, A.F.1    Doll, J.D.2
  • 12
    • 29644448398 scopus 로고    scopus 로고
    • Self-learning kinetic Monte Carlo method: application to Cu(111)
    • Trushin O., Karim A., Kara A., Rahman T.S. Self-learning kinetic Monte Carlo method: application to Cu(111). Phys. Rev. B 2005, 72:1154011-1154019.
    • (2005) Phys. Rev. B , vol.72 , pp. 1154011-1154019
    • Trushin, O.1    Karim, A.2    Kara, A.3    Rahman, T.S.4
  • 13
    • 52349108658 scopus 로고    scopus 로고
    • Adaptive kinetic Monte Carlo for first-principles accelerated dynamics
    • Xu L., Henkelman G. Adaptive kinetic Monte Carlo for first-principles accelerated dynamics. J. Chem. Phys. 2008, 129:114104.
    • (2008) J. Chem. Phys. , vol.129 , pp. 114104
    • Xu, L.1    Henkelman, G.2
  • 14
    • 65449185430 scopus 로고    scopus 로고
    • Off-lattice self-learning kinetic Monte Carlo: application to 2D cluster diffusion on the fcc(111) surface
    • Kara A., Trushin O., Yildirim H., Rahman T.S. Off-lattice self-learning kinetic Monte Carlo: application to 2D cluster diffusion on the fcc(111) surface. J. Phys.: Condens. Matter 2009, 21:084213.
    • (2009) J. Phys.: Condens. Matter , vol.21 , pp. 084213
    • Kara, A.1    Trushin, O.2    Yildirim, H.3    Rahman, T.S.4
  • 16
    • 80855128929 scopus 로고    scopus 로고
    • An off-lattice, self-learning kinetic Monte Carlo method using local environments
    • Konwar D., Bhute V.J., Chatterjee A. An off-lattice, self-learning kinetic Monte Carlo method using local environments. J. Chem. Phys. 2011, 135:174103.
    • (2011) J. Chem. Phys. , vol.135 , pp. 174103
    • Konwar, D.1    Bhute, V.J.2    Chatterjee, A.3
  • 17
    • 33745044234 scopus 로고    scopus 로고
    • Energy landscapes: calculating pathways and rates
    • Wales D.J. Energy landscapes: calculating pathways and rates. Int. Rev. Phys. Chem. 2006, 25:237-282.
    • (2006) Int. Rev. Phys. Chem. , vol.25 , pp. 237-282
    • Wales, D.J.1
  • 18
    • 0006278248 scopus 로고
    • Diffusion path for an Al adatom on Al(001)
    • Feibelman P.J. Diffusion path for an Al adatom on Al(001). Phys. Rev. Lett. 1990, 65:729 LP-732.
    • (1990) Phys. Rev. Lett. , vol.65
    • Feibelman, P.J.1
  • 19
    • 0542398528 scopus 로고
    • Displacement distribution and atomic jump direction in diffusion of Ir atoms on the Ir(001) surface
    • Chen C., Tsong T.T. Displacement distribution and atomic jump direction in diffusion of Ir atoms on the Ir(001) surface. Phys. Rev. Lett. 1990, 64:3147-3150.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 3147-3150
    • Chen, C.1    Tsong, T.T.2
  • 20
    • 0000569862 scopus 로고
    • Accomodation and diffusion of Cu deposited on flat and stepped Cu(111) surfaces
    • Stoltze P., Norskov J.K. Accomodation and diffusion of Cu deposited on flat and stepped Cu(111) surfaces. Phys. Rev. B 1993, 48:5607-5611.
    • (1993) Phys. Rev. B , vol.48 , pp. 5607-5611
    • Stoltze, P.1    Norskov, J.K.2
  • 21
    • 0000640789 scopus 로고
    • Low-temperature homoepitaxial growth of Pt(111) in simulated vapor deposition
    • Villarba M., Jónsson H. Low-temperature homoepitaxial growth of Pt(111) in simulated vapor deposition. Phys. Rev. B 1994, 49:2208.
    • (1994) Phys. Rev. B , vol.49 , pp. 2208
    • Villarba, M.1    Jónsson, H.2
  • 22
    • 0001587156 scopus 로고
    • Dislocation mechanism for Island diffusion on fcc (111) surfaces
    • Hamilton J.C., Daw M.S., Foiles S.M. Dislocation mechanism for Island diffusion on fcc (111) surfaces. Phys. Rev. Lett. 1995, 74:2760-2763.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2760-2763
    • Hamilton, J.C.1    Daw, M.S.2    Foiles, S.M.3
  • 23
    • 37649028961 scopus 로고    scopus 로고
    • Role of long jumps in surface diffusion
    • Braun O.M., Ferrando R. Role of long jumps in surface diffusion. Phys. Rev. E 2002, 65:061107.
    • (2002) Phys. Rev. E , vol.65 , pp. 061107
    • Braun, O.M.1    Ferrando, R.2
  • 24
    • 0001762827 scopus 로고    scopus 로고
    • Leapfrog diffusion mechanism for one-dimensional chains on missing-row reconstructed surfaces
    • Montalenti F., Ferrando R. Leapfrog diffusion mechanism for one-dimensional chains on missing-row reconstructed surfaces. Phys. Rev. Lett. 1999, 82:1498-1501.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 1498-1501
    • Montalenti, F.1    Ferrando, R.2
  • 26
    • 20044366626 scopus 로고    scopus 로고
    • Long jumps in diffusion of iridium on W(110)
    • Antczak G., Ehrlich G. Long jumps in diffusion of iridium on W(110). Phys. Rev. B 2005, 71:115422.
    • (2005) Phys. Rev. B , vol.71 , pp. 115422
    • Antczak, G.1    Ehrlich, G.2
  • 27
    • 33749662317 scopus 로고    scopus 로고
    • Kinetics of atom rebounding in surface self-diffusion
    • Antczak G. Kinetics of atom rebounding in surface self-diffusion. Phys. Rev. B 2006, 74:153406.
    • (2006) Phys. Rev. B , vol.74 , pp. 153406
    • Antczak, G.1
  • 28
    • 67650035013 scopus 로고    scopus 로고
    • Atomic jumps during surface diffusion
    • Ferrón J., Miranda R., Miguel J.J.d. Atomic jumps during surface diffusion. Phys. Rev. B 2009, 79:245407.
    • (2009) Phys. Rev. B , vol.79 , pp. 245407
    • Ferrón, J.1    Miranda, R.2    Miguel, J.3
  • 29
    • 77955707912 scopus 로고    scopus 로고
    • Mechanisms of atomic diffusion on the flat, stepped, and faceted surfaces of Al(110)
    • Tiwary Y., Fichthorn K.A. Mechanisms of atomic diffusion on the flat, stepped, and faceted surfaces of Al(110). Phys. Rev. B 2010, 81:195421.
    • (2010) Phys. Rev. B , vol.81 , pp. 195421
    • Tiwary, Y.1    Fichthorn, K.A.2
  • 30
    • 0034513054 scopus 로고    scopus 로고
    • A climbing image nudged elastic band method for finding saddle points and minimum energy paths
    • Henkelman G., Uberuaga B.P., Jónsson H. A climbing image nudged elastic band method for finding saddle points and minimum energy paths. J. Chem. Phys. 2000, 113:9901-9904.
    • (2000) J. Chem. Phys. , vol.113 , pp. 9901-9904
    • Henkelman, G.1    Uberuaga, B.P.2    Jónsson, H.3
  • 31
    • 0033688171 scopus 로고    scopus 로고
    • Temperature-accelerated dynamics for simulation of infrequent events
    • Sorenson M.R., Voter A.F. Temperature-accelerated dynamics for simulation of infrequent events. J. Chem. Phys. 2000, 112:9599-9606.
    • (2000) J. Chem. Phys. , vol.112 , pp. 9599-9606
    • Sorenson, M.R.1    Voter, A.F.2
  • 32
    • 0031144465 scopus 로고    scopus 로고
    • Hyperdynamics: accelerated molecular dynamics of infrequent events
    • Voter A.F. Hyperdynamics: accelerated molecular dynamics of infrequent events. Phys. Rev. Lett. 1997, 78:3908-3911.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3908-3911
    • Voter, A.F.1
  • 33
    • 1442281293 scopus 로고    scopus 로고
    • A method for accelerating the molecular dynamics simulation of infrequent events
    • Voter A.F. A method for accelerating the molecular dynamics simulation of infrequent events. J. Chem. Phys. 1997, 106:4665-4677.
    • (1997) J. Chem. Phys. , vol.106 , pp. 4665-4677
    • Voter, A.F.1
  • 34
    • 0001208056 scopus 로고    scopus 로고
    • Parallel replica method for dynamics of infrequent events
    • Voter A.F. Parallel replica method for dynamics of infrequent events. Phys. Rev. B 1998, 57:R13985-R13988.
    • (1998) Phys. Rev. B , vol.57
    • Voter, A.F.1
  • 35
    • 16444371081 scopus 로고
    • Classically exact overlayer dynamics: diffusion of Rhodium clusters on Rh(100)
    • Voter A.F. Classically exact overlayer dynamics: diffusion of Rhodium clusters on Rh(100). Phys. Rev. B 1986, 34:6819-6829.
    • (1986) Phys. Rev. B , vol.34 , pp. 6819-6829
    • Voter, A.F.1
  • 36
    • 0001434825 scopus 로고    scopus 로고
    • Bond counting in a simulation model of epitaxial growth
    • Schroeder M., Smilauer P., Wolf D.E. Bond counting in a simulation model of epitaxial growth. Phys. Rev. B 1997, 55:10814-10818.
    • (1997) Phys. Rev. B , vol.55 , pp. 10814-10818
    • Schroeder, M.1    Smilauer, P.2    Wolf, D.E.3
  • 37
    • 84876327119 scopus 로고    scopus 로고
    • in: J. Grotendorst, N. Attig, S. Blugel, D. Marx (Eds.), Multiscale Simulation Methods in Molecular Sciences
    • P. Kratzer, Monte Carlo and kinetic Monte Carlo methods - a tutorial, in: J. Grotendorst, N. Attig, S. Blugel, D. Marx (Eds.), Multiscale Simulation Methods in Molecular Sciences, 2009.
    • (2009) Monte Carlo and kinetic Monte Carlo methods - a tutorial
    • Kratzer, P.1
  • 38
    • 48549112275 scopus 로고
    • Generalized cluster description of multicomponent systems
    • Sanchez J.M., Ducastelle F., Gratias D. Generalized cluster description of multicomponent systems. Phys. A 1984, 128:334-350.
    • (1984) Phys. A , vol.128 , pp. 334-350
    • Sanchez, J.M.1    Ducastelle, F.2    Gratias, D.3
  • 39
    • 0000151371 scopus 로고    scopus 로고
    • Island nucleation in thin-film epitaxy: a first-principles investigation
    • Fichthorn K.A., Scheffler M. Island nucleation in thin-film epitaxy: a first-principles investigation. Phys. Rev. Lett. 2000, 84:5371-5374.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5371-5374
    • Fichthorn, K.A.1    Scheffler, M.2
  • 40
    • 18044383328 scopus 로고    scopus 로고
    • First principles calculation of the interdiffusion coefficient in binary alloys
    • Ven A.V.d., Ceder G. First principles calculation of the interdiffusion coefficient in binary alloys. Phys. Rev. Lett. 2005, 94:045901.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 045901
    • Ven, A.1    Ceder, G.2
  • 41
    • 44349099925 scopus 로고    scopus 로고
    • A complete representation of structure-property relationships in crystals
    • Van de Walle A. A complete representation of structure-property relationships in crystals. Nature Mater. 2008, 7:455-458.
    • (2008) Nature Mater. , vol.7 , pp. 455-458
    • Van de Walle, A.1
  • 42
    • 5844383856 scopus 로고
    • Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt and their alloys
    • Foiles S.M., Baskes M.I., Daw M.S. Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt and their alloys. Phys. Rev. B 1986, 33:7983-7991.
    • (1986) Phys. Rev. B , vol.33 , pp. 7983-7991
    • Foiles, S.M.1    Baskes, M.I.2    Daw, M.S.3
  • 43
    • 0004074760 scopus 로고    scopus 로고
    • Wiley-Interscience, New Jersey, G.E.P. Box, J.S. Hunter, W.G. Hunter (Eds.)
    • Statistics for Experimenters 2005, Wiley-Interscience, New Jersey. G.E.P. Box, J.S. Hunter, W.G. Hunter (Eds.).
    • (2005) Statistics for Experimenters


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