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Effect of the direct correlation function on phase diagram of the two-mode phase field crystal model

Guo Can Wang Zhi-Jun Wang Jin-Cheng Guo Yao-Lin Tang Sai

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Effect of the direct correlation function on phase diagram of the two-mode phase field crystal model

Guo Can, Wang Zhi-Jun, Wang Jin-Cheng, Guo Yao-Lin, Tang Sai
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  • Effects of the width of direct correlation function peak and the peak at k=0 on the phase diagram for the two-mode phase field crystal model are examined carefully. The results indicate that increasing the width of direct correlation function peak will expand the stability region of the ordered phases; however, increasing the ratio of peak width will significantly increase the fcc phase region but reduce the bcc phase region. Adding a negative Gaussian peak at k=0 to the two-mode approximate direct correlation function will compress the phase diagram and make the two-phase coexisting region narrow.
    • 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).
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    Kalikmanov V I, Dongen M E H 1993 Europhys. Lett. 21 645

    [2]

    Liu J, Zhao J Z, Hu Z Q 2006 Appl. Phys. Lett. 89 031903

    [3]

    Castro M 2003 Phys. Rev. B 67 035412

    [4]

    Warren J A, Kobayashi R, Lobkovsky A E, Carter W C 2003 Acta Mater. 51 6035

    [5]

    Li J J, Wang J C, Xu Q, Yang G C 2007 Acta Phys. Sin. 56 1514 (in Chinese) [李俊杰, 王锦程, 许泉, 杨根仓2007物理学报 56 1514]

    [6]

    Wang Y Q, Wang J C, Li J J 2012 Acta Phys. Sin. 61 118103 (in Chinese) [王雅琴, 王锦程, 李俊杰2012 物理学报 61 118103]

    [7]

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

    [8]

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

    [9]

    Tegze G, Tóth G I, Gránásy L 2011 Phys. Rev. Lett. 106 195502

    [10]

    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]

    [11]

    Tóth G I, Tegze G, Pusztai T, Tóth G, Granasy L 2010 J. Phys.: Condens. Matter 22 364101

    [12]

    Jaatinen A, Nissila T A 2010 J. Phys.: Condens. Matter 22 205402

    [13]

    Jaatinen A, Achim C V, Elder K R, Nissila T A 2009 Phys. Rev. E 80 031602

    [14]

    Wu K A, Adland A, Karma A 2010 Phys. Rev. E 81 061601

    [15]

    Wu K A, Plapp M, Voorhees P W 2010 J. Phys.: Condens. Matter 22 364102

    [16]

    Greenwood M, Provatas N, Rottler J 2010 Phys. Rev. Lett. 105 045702

    [17]

    Greenwood M, Rottler J, Provatas N 2011 Phys. Rev. E 83 031601

    [18]

    Majaniemi S, Provatas N 2009 Phys. Rev. E 79 011607

    [19]

    Waseda Y 1980 The Structure of Non-Crystalline Materials: Liquid and Amorphous Solids (New York: McGraw-Hill Inc) pp34-36

  • [1]

    Kalikmanov V I, Dongen M E H 1993 Europhys. Lett. 21 645

    [2]

    Liu J, Zhao J Z, Hu Z Q 2006 Appl. Phys. Lett. 89 031903

    [3]

    Castro M 2003 Phys. Rev. B 67 035412

    [4]

    Warren J A, Kobayashi R, Lobkovsky A E, Carter W C 2003 Acta Mater. 51 6035

    [5]

    Li J J, Wang J C, Xu Q, Yang G C 2007 Acta Phys. Sin. 56 1514 (in Chinese) [李俊杰, 王锦程, 许泉, 杨根仓2007物理学报 56 1514]

    [6]

    Wang Y Q, Wang J C, Li J J 2012 Acta Phys. Sin. 61 118103 (in Chinese) [王雅琴, 王锦程, 李俊杰2012 物理学报 61 118103]

    [7]

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

    [8]

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

    [9]

    Tegze G, Tóth G I, Gránásy L 2011 Phys. Rev. Lett. 106 195502

    [10]

    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]

    [11]

    Tóth G I, Tegze G, Pusztai T, Tóth G, Granasy L 2010 J. Phys.: Condens. Matter 22 364101

    [12]

    Jaatinen A, Nissila T A 2010 J. Phys.: Condens. Matter 22 205402

    [13]

    Jaatinen A, Achim C V, Elder K R, Nissila T A 2009 Phys. Rev. E 80 031602

    [14]

    Wu K A, Adland A, Karma A 2010 Phys. Rev. E 81 061601

    [15]

    Wu K A, Plapp M, Voorhees P W 2010 J. Phys.: Condens. Matter 22 364102

    [16]

    Greenwood M, Provatas N, Rottler J 2010 Phys. Rev. Lett. 105 045702

    [17]

    Greenwood M, Rottler J, Provatas N 2011 Phys. Rev. E 83 031601

    [18]

    Majaniemi S, Provatas N 2009 Phys. Rev. E 79 011607

    [19]

    Waseda Y 1980 The Structure of Non-Crystalline Materials: Liquid and Amorphous Solids (New York: McGraw-Hill Inc) pp34-36

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Publishing process
  • Received Date:  21 November 2012
  • Accepted Date:  26 December 2012
  • Published Online:  05 May 2013

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