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On the basis of the Gaussian kernel phase field crystal model (PFC), we propose a modified PFC model. The atom-attaching process of three-dimensional body-center-cubic (BCC) dendritic growth is examined by using the modified PFC model. Our simulations indicate that in the process of the morphology evolution from regular dodecahedron to dendrite shape, the nucleation position of new layer is transferred from the center of {110} planes into the region of {110} plane near the tips, and then the BCC dendritic morphology is obtained. In the process of dendritic growth, first, new solid atom absorption takes place near dendrite tips, then liquid atoms start to grow up on the existing solid phase rapidly. After the dendrite tips are completely occupied by new atoms, new nuclei begin to form again. Increasing the initial atom density n will increase the velocity coefficient C and the anisotropy of C.
[1] David S A, Babu S S, Vitek J M 2003 JOM p14
[2] David S A, Debroy T 1992 Science 257 497
[3] Wang Z J, Wang J C, Wang L L, Li J J, Zhou Y H 2014 J. Cryst. Growth 385 106
[4] Huang W D, Lin X, Li T, Wang L L, Inatomi Y 2004 Acta Phys. Sin. 53 3978 (in Chinese) [黄卫东, 林鑫, 李涛, 王琳琳, Inatomi Y 2004 物理学报 53 3978]
[5] Mathiesen R H, Arnberg L 2005 Acta Mater. 53 947
[6] Mathiesen R H, Arnberg L, Mo F, Weitkamp T, Snigirev A 1999 Phys. Rev. Lett. 83 5056
[7] Sun D Y, Asta M, Hoyta J J 2004 Phys. Rev. B 69 174103
[8] Amini M, Laird B B 2006 Phys. Rev. Lett. 97 216102
[9] Karma A, Rappel W J 1996 Phys. Rev. Lett. 77 4045
[10] Li J J, Wang J C, Xu Q, Yang G C 2008 Chin. Phys. B 17 3516
[11] Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701
[12] Elder K R, Grant M 2004 Phys. Rev. E 70 051605
[13] Tegze G, Tóth G I, Gránásy L 2011 Phys. Rev. Lett. 106 195502
[14] 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]
[15] Wu K A, Karma A 2007 Phys. Rev. B 76 184107
[16] Jaatinen A, Nissila T A 2010 J. Phys.: Condens. Matter 22 205402
[17] Greenwood M, Rottler J, Provatas N 2011 Phys. Rev. E 83 031601
[18] Guo C, Wang Z J, Wang J C, Guo Y L, Tang S 2013 Acta Phys. Sin. 62 108104 (in Chinese) [郭灿, 王志军, 王锦程, 郭耀麟, 唐赛 2013 物理学报 62 108104]
[19] Tegze G, Tóth G I, Gránásy L 2011 Phys. Rev. Lett. 106 195502
[20] Tang S, Backofen R, Wang J C, Zhou Y H, Voigt A, Yu Y M 2011 J. Cryst. Growth 334 146
[21] Elder K R, Provatas N, Berry J, Stefanovic P, Grant M 2007 Phys. Rev. B 75 064107
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[1] David S A, Babu S S, Vitek J M 2003 JOM p14
[2] David S A, Debroy T 1992 Science 257 497
[3] Wang Z J, Wang J C, Wang L L, Li J J, Zhou Y H 2014 J. Cryst. Growth 385 106
[4] Huang W D, Lin X, Li T, Wang L L, Inatomi Y 2004 Acta Phys. Sin. 53 3978 (in Chinese) [黄卫东, 林鑫, 李涛, 王琳琳, Inatomi Y 2004 物理学报 53 3978]
[5] Mathiesen R H, Arnberg L 2005 Acta Mater. 53 947
[6] Mathiesen R H, Arnberg L, Mo F, Weitkamp T, Snigirev A 1999 Phys. Rev. Lett. 83 5056
[7] Sun D Y, Asta M, Hoyta J J 2004 Phys. Rev. B 69 174103
[8] Amini M, Laird B B 2006 Phys. Rev. Lett. 97 216102
[9] Karma A, Rappel W J 1996 Phys. Rev. Lett. 77 4045
[10] Li J J, Wang J C, Xu Q, Yang G C 2008 Chin. Phys. B 17 3516
[11] Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701
[12] Elder K R, Grant M 2004 Phys. Rev. E 70 051605
[13] Tegze G, Tóth G I, Gránásy L 2011 Phys. Rev. Lett. 106 195502
[14] 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]
[15] Wu K A, Karma A 2007 Phys. Rev. B 76 184107
[16] Jaatinen A, Nissila T A 2010 J. Phys.: Condens. Matter 22 205402
[17] Greenwood M, Rottler J, Provatas N 2011 Phys. Rev. E 83 031601
[18] Guo C, Wang Z J, Wang J C, Guo Y L, Tang S 2013 Acta Phys. Sin. 62 108104 (in Chinese) [郭灿, 王志军, 王锦程, 郭耀麟, 唐赛 2013 物理学报 62 108104]
[19] Tegze G, Tóth G I, Gránásy L 2011 Phys. Rev. Lett. 106 195502
[20] Tang S, Backofen R, Wang J C, Zhou Y H, Voigt A, Yu Y M 2011 J. Cryst. Growth 334 146
[21] Elder K R, Provatas N, Berry J, Stefanovic P, Grant M 2007 Phys. Rev. B 75 064107
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