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相场晶体法模拟过冷熔体中的晶体生长

邢辉 陈长乐 金克新 谭兴毅 范飞

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相场晶体法模拟过冷熔体中的晶体生长

邢辉, 陈长乐, 金克新, 谭兴毅, 范飞

Simulation of crystal growth using phase-field crystal method

Xing Hui, Chen Chang-Le, Jin Ke-Xin, Tan Xing-Yi, Fan Fei
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  • 利用相场晶体(phase-field crystal)模型,采用有限差分法,模拟了过冷熔体中晶体生长过程,研究了不同相区、不同过冷度对晶体生长过程的影响.结果表明,在共存区中,随着演化的进行,晶体生长被抑制,液-晶边界层逐渐变厚;在单相区中,随着过冷度的增大,晶态区面积显著增加,液-晶边界层逐渐变薄.晶体生长速度和过冷度成近似线性的关系.
    The phase-field crystal (PFC) model is used to simulate crystal growth from undercooled liquid by the finite difference method. The effects of phase region and undercooling on crystal growth process are analyzed. The simulation results show that crystal growth is inhibited in the region of liquid-crystal coexistence where liquid-crystal boundary becomes thicker gradually. In the single crystal phase region, crystallization is enhanced with undercooling increasing,while liquid-crystal boundary becomes thinner. It is found that there is a linear relationship between crystal growth velocity and undercooling.
    • 基金项目: 国家自然科学基金(批准号:50331040,50702046)和西北工业大学基础研究基金(NPU-FFR-JC200821)资助的课题.
    [1]

    Boettinger W J, Warren J A, Beckermann C, Karma A 2002 Annual Review of Materials Research 32 163

    [2]

    Yu Y M, Yang G C, Zhao D W, Karma A, Beckermann C 2001 Acta Phys. Sin. 50 2423 (in Chinese) [于艳梅、杨根仓、赵达 文、Karma A、Beckermann C 2001 物理学报 50 2423] 〖3] Zhu C S, Wang Z P, Jing T, Xiao R Z 2006 Acta Phys. Sin. 55 1502 (in Chinese) [朱昌盛、王智平、荆 涛、肖荣振 2006 物理学报 55 1502]

    [3]

    Long W Y, Cai Q Z , Wei B K 2005 Acta Phys. Sin. 54 256(in Chinese)[龙文元、蔡启舟、陈立亮、魏伯康 2005 物理学报 54 256]

    [4]

    Zhu Y C, Wang J C, Yang G C, Yang Y J 2007 Acta Phys. Sin. 56 5542 (in Chinese) [朱耀产、王锦程、杨根仓、杨玉娟 2007 物理学报 56 5542]

    [5]

    Wang Y U, Jin Y M, Cuitino A M, Khachaturyan A G 2001 Appl. Phys. Lett. 78 2324

    [6]

    Chen L Q, Khachaturyan A G 1991 Scr. Metall. Mater. 25 61

    [7]

    Warren J A, Kobayashi R, Carter W C 2000 J. Cryst. Growth 18 211

    [8]

    Elder K R, Grant M 2004 Phys. Rev. E 70 051605

    [9]

    Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701

    [10]

    Goldenfeld N, Athreya B P, Dantzig J A 2005 Phys. Rev. E 72 020601

    [11]

    Athreya B P, Goldenfeld N, Dantzig J A Greenwood M, Provatas N 2007 Phys. Rev. E 76 056706

    [12]

    Wu K A, Karma A, Hoyt J J, Asta M 2006 Phys. Rev. B 73 094101

    [13]

    Elder K R, Provatas N, Berry J, Stefanovic P Grant M, 2007 Phys. Rev. B 75 064107

    [14]

    Cahn J W, Hilliard J E 1957 J. Chem. Phys. 28 258

    [15]

    Cahn J W 1961 Acta. Metall. 9 795

    [16]

    Ramalingam H, Asta M, Walle A, Hoyt J J 2002 Inter.Sci. 10 149

    [17]

    Flemings M C 1974 Solidification Processing (New York: McGRAW-HILL) p290

    [18]

    Ohsaka K, Trinh E H, 1998 J. Cryst. Growth 194 128

    [19]

    Steinbach I, Berckermann C, Kauerauf B, Li Q, Guo J 1999 Acta Mater. 47 971

  • [1]

    Boettinger W J, Warren J A, Beckermann C, Karma A 2002 Annual Review of Materials Research 32 163

    [2]

    Yu Y M, Yang G C, Zhao D W, Karma A, Beckermann C 2001 Acta Phys. Sin. 50 2423 (in Chinese) [于艳梅、杨根仓、赵达 文、Karma A、Beckermann C 2001 物理学报 50 2423] 〖3] Zhu C S, Wang Z P, Jing T, Xiao R Z 2006 Acta Phys. Sin. 55 1502 (in Chinese) [朱昌盛、王智平、荆 涛、肖荣振 2006 物理学报 55 1502]

    [3]

    Long W Y, Cai Q Z , Wei B K 2005 Acta Phys. Sin. 54 256(in Chinese)[龙文元、蔡启舟、陈立亮、魏伯康 2005 物理学报 54 256]

    [4]

    Zhu Y C, Wang J C, Yang G C, Yang Y J 2007 Acta Phys. Sin. 56 5542 (in Chinese) [朱耀产、王锦程、杨根仓、杨玉娟 2007 物理学报 56 5542]

    [5]

    Wang Y U, Jin Y M, Cuitino A M, Khachaturyan A G 2001 Appl. Phys. Lett. 78 2324

    [6]

    Chen L Q, Khachaturyan A G 1991 Scr. Metall. Mater. 25 61

    [7]

    Warren J A, Kobayashi R, Carter W C 2000 J. Cryst. Growth 18 211

    [8]

    Elder K R, Grant M 2004 Phys. Rev. E 70 051605

    [9]

    Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701

    [10]

    Goldenfeld N, Athreya B P, Dantzig J A 2005 Phys. Rev. E 72 020601

    [11]

    Athreya B P, Goldenfeld N, Dantzig J A Greenwood M, Provatas N 2007 Phys. Rev. E 76 056706

    [12]

    Wu K A, Karma A, Hoyt J J, Asta M 2006 Phys. Rev. B 73 094101

    [13]

    Elder K R, Provatas N, Berry J, Stefanovic P Grant M, 2007 Phys. Rev. B 75 064107

    [14]

    Cahn J W, Hilliard J E 1957 J. Chem. Phys. 28 258

    [15]

    Cahn J W 1961 Acta. Metall. 9 795

    [16]

    Ramalingam H, Asta M, Walle A, Hoyt J J 2002 Inter.Sci. 10 149

    [17]

    Flemings M C 1974 Solidification Processing (New York: McGRAW-HILL) p290

    [18]

    Ohsaka K, Trinh E H, 1998 J. Cryst. Growth 194 128

    [19]

    Steinbach I, Berckermann C, Kauerauf B, Li Q, Guo J 1999 Acta Mater. 47 971

计量
  • 文章访问数:  8505
  • PDF下载量:  1217
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-01-11
  • 修回日期:  2010-03-01
  • 刊出日期:  2010-11-15

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