噪声对均质形核过程影响的晶体相场法研究

郭耀麟; 王锦程; 王志军; 唐赛; 周尧和

doi:10.7498/aps.61.146401

摘要

采用晶体相场模型,模拟了有色噪声诱发的均质形核过程. 结果表明,噪声强度在一定范围内对系统平衡热力学参量、形核势垒、临界晶核尺寸影响甚微; 而对形核孕育时间影响较大,形核孕育时间随噪声强度的增大呈指数减小趋势. 进一步分析表明,噪声对形核孕育时间的影响主要是由于噪声的引入改变了原子动力学系数.

关键词:

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.

Keywords:

作者及机构信息

1.
西北工业大学凝固技术国家重点实验室, 西安 710072

基金项目: 国家自然科学基金(批准号: 51071128, 51101124)和国家重点基础研究计划 (批准号: 2011CB610401)资助的课题.

Authors and contacts

1.
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51071128, 51101124) and the National Basic Research Program of China (Grant No. 2011CB610401).

参考文献

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[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
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[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 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 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

施引文献

[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 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 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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