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Homogenerous nucleation process induced by the colored noise is simulated by the phase field crystal method. The results indicate that the noise strenghth within a certain range almost has no influence on the parameters of equilibrium thermodynamics of the nucleation system, such as nucleation engergy barrier and size of crtical nucleus; however, it will strongly affect the dynamics of the system. The incubation time of nucleation decreases exponenially with the increase of the noise strength. Further analysis shows that this is attributed to the fact that the colored noise can affect the atom mobility in the nucleation process.
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Keywords:
- phase field crystal model /
- homogenerous nucleation /
- colored noise
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[2] Farkas L 1927 Z. Physik. Chem. 125 236
[3] Becker R, Döring W 1935 Ann. Phys. 416 719
[4] Turnbull D, Fisher J C 1949 J. Chem. Phys. 17 71
[5] Kalikmanov V I, Dongen M E H 1993 Europhys. Lett. 21 645
[6] Ruckenstein E, Djikaev Y S 2005 Adv. Colloid Interface Sci. 118 51
[7] Liu J, Zhao J Z, Hu Z Q 2006 Appl. Phys. Lett. 89 031903
[8] Liu H R, Liu R S, Zhang A L, Hou Z Y, Wang X, Tian Z A 2007 Chin. Phys. 16 3747
[9] Wu Z M, Wang X Q, Yang Y Y 2007 Chin. Phys. 16 405
[10] Wilson W D, Baskes M I, Bisson C L 1976 Phys. Rev. B 13 2470
[11] DeVita J P, Sander L M, Smereka P 2005 Phys. Rev. B 72 205421
[12] Hurtado P I, Marro J, Garrido P L 2006 Phys. Rev. E 74 050101
[13] Castro M 2003 Phys. Rev. B 67 035412
[14] Iwamatsu M 2008 J. Chem. Phys. 128 084504
[15] Oxtoby D W 1992 J. Phys.: Condens. Matter 4 7627
[16] Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701
[17] Elder K R, Grant M 2004 Phys. Rev. E 70 051605
[18] Elder K R, Provatas N, Berry J, Stefanovic P, Grant M 2007 Phys. Rev. B 75 064107
[19] Ren X, Wang J C, Yang Y J, Yang G C 2010 Acta Phys. Sin. 59 3595 (in Chinese) [任秀, 王锦程, 杨玉娟, 杨根仓 2010 物理学报 59 3595]
[20] Zhang Q, Wang J C, Zhang Y C, Yang G C 2011 Acta Phys. Sin. 60 088104 (in Chinese) [张琪, 王锦程, 张亚丛, 杨根仓 2010 物理学报 60 088104]
[21] Tang S, Backofen R, Wang J C, Zhou Y H, Voigt A, Yu Y M 2011 J. Crystal Growth 334 146
[22] Hubert J, Cheng M, Emmerich H 2009 J. Phys.: Condens. Matter 21 464108
[23] Tegze G, Bansel G, Tóth G I, Pusztai T, Fan Z Y, Gránásy L 2009 J. Comput. Phys. 228 1612
[24] Tóth G I, Tegze G, Pusztai T, Tóth G, Gránásy L 2010 J. Phys.: Condens. Matter 22 364101
[25] Gránásy L, Tegze G, Tóth G I, Pusztai T 2010 Phil. Mag. 91 123
[26] Valls O T, Mazenko G F 1990 Phys. Rev. B 42 6614
[27] Swift J, Hohenberg P C 1977 Phys. Rev. A 15 319
[28] Karma A, Rappel W J 1999 Phys. Rev. E 60 3614
[29] Tegze G, Toth G I, Granasy L 2011 Phys. Rev. Lett. 106 195502
[30] Wu K A , Karma A 2007 Phys. Rev. B 76 184107
[31] Kelton K F, Greer A L 2010 Nucleation in Condensed Matter: Applications in Materials and Biology (1st Ed.) (Amasterdam: Pergamon) pp19-83
[32] Kashchiev D 1969 Sur. Sci. 14 209
[33] Tegze G, Gránásy L, Tóth G I, Podmaniczky F, Jaatinen A, Ala T, Pusztai T 2009 Phys. Rev. Lett. 103 035702
[34] Löwen H, Bechhoefer J, Tuckerman L S 1992 Phys. Rev. A 45 2399
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[1] Volmer M, Weber A 1926 Z. Physik. Chem. 119 277
[2] Farkas L 1927 Z. Physik. Chem. 125 236
[3] Becker R, Döring W 1935 Ann. Phys. 416 719
[4] Turnbull D, Fisher J C 1949 J. Chem. Phys. 17 71
[5] Kalikmanov V I, Dongen M E H 1993 Europhys. Lett. 21 645
[6] Ruckenstein E, Djikaev Y S 2005 Adv. Colloid Interface Sci. 118 51
[7] Liu J, Zhao J Z, Hu Z Q 2006 Appl. Phys. Lett. 89 031903
[8] Liu H R, Liu R S, Zhang A L, Hou Z Y, Wang X, Tian Z A 2007 Chin. Phys. 16 3747
[9] Wu Z M, Wang X Q, Yang Y Y 2007 Chin. Phys. 16 405
[10] Wilson W D, Baskes M I, Bisson C L 1976 Phys. Rev. B 13 2470
[11] DeVita J P, Sander L M, Smereka P 2005 Phys. Rev. B 72 205421
[12] Hurtado P I, Marro J, Garrido P L 2006 Phys. Rev. E 74 050101
[13] Castro M 2003 Phys. Rev. B 67 035412
[14] Iwamatsu M 2008 J. Chem. Phys. 128 084504
[15] Oxtoby D W 1992 J. Phys.: Condens. Matter 4 7627
[16] Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701
[17] Elder K R, Grant M 2004 Phys. Rev. E 70 051605
[18] Elder K R, Provatas N, Berry J, Stefanovic P, Grant M 2007 Phys. Rev. B 75 064107
[19] Ren X, Wang J C, Yang Y J, Yang G C 2010 Acta Phys. Sin. 59 3595 (in Chinese) [任秀, 王锦程, 杨玉娟, 杨根仓 2010 物理学报 59 3595]
[20] Zhang Q, Wang J C, Zhang Y C, Yang G C 2011 Acta Phys. Sin. 60 088104 (in Chinese) [张琪, 王锦程, 张亚丛, 杨根仓 2010 物理学报 60 088104]
[21] Tang S, Backofen R, Wang J C, Zhou Y H, Voigt A, Yu Y M 2011 J. Crystal Growth 334 146
[22] Hubert J, Cheng M, Emmerich H 2009 J. Phys.: Condens. Matter 21 464108
[23] Tegze G, Bansel G, Tóth G I, Pusztai T, Fan Z Y, Gránásy L 2009 J. Comput. Phys. 228 1612
[24] Tóth G I, Tegze G, Pusztai T, Tóth G, Gránásy L 2010 J. Phys.: Condens. Matter 22 364101
[25] Gránásy L, Tegze G, Tóth G I, Pusztai T 2010 Phil. Mag. 91 123
[26] Valls O T, Mazenko G F 1990 Phys. Rev. B 42 6614
[27] Swift J, Hohenberg P C 1977 Phys. Rev. A 15 319
[28] Karma A, Rappel W J 1999 Phys. Rev. E 60 3614
[29] Tegze G, Toth G I, Granasy L 2011 Phys. Rev. Lett. 106 195502
[30] Wu K A , Karma A 2007 Phys. Rev. B 76 184107
[31] Kelton K F, Greer A L 2010 Nucleation in Condensed Matter: Applications in Materials and Biology (1st Ed.) (Amasterdam: Pergamon) pp19-83
[32] Kashchiev D 1969 Sur. Sci. 14 209
[33] Tegze G, Gránásy L, Tóth G I, Podmaniczky F, Jaatinen A, Ala T, Pusztai T 2009 Phys. Rev. Lett. 103 035702
[34] Löwen H, Bechhoefer J, Tuckerman L S 1992 Phys. Rev. A 45 2399
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