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采用Monte Carlo模拟方法研究了小体积比三维格子气模型中的相分离过程, 比较了sc, fcc, bcc 等3种晶格类型和T/Tc=0.450.85等 5个相对温度的系统演化行为, 计算了系统的结构因子函数, 发现结构因子在相分离早期不满足标度关系, 生长指数等于1/6, 小于经典Lifshitz-Slyozov理论的值.
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关键词:
- 格子气模型 /
- 相分离过程 /
- Monte Carlo模拟 /
- 生长律
The phase separation process in a three-dimensional lattice gas model with a low volume ratio c=0.01 was studied. Using Monte Carlo simulation, the evolution behaviors of sc, fcc, bcc lattices, and 5 relative temperatures T/Tc=0.450.85 were simulated. It was found that the structure factor functions did not satisfy the scaling relationship, and the growth index was 1/6, less than the value of Lifshitz-Slyozov theory.-
Keywords:
- lattice gas model /
- phase separation process /
- Monte Carlo simulation /
- growth law
[1] Lifshitz I M, Slyozov V 1961 J. Phys. Chem. Solids 19 35
[2] Binder K, Stauffer D 1974 Phys. Rev. Lett. 33 1006
[3] Langer S, Bar-on M, Miller H D 1975 Phys. Rev. A 11 1417
[4] Marro J, Lebowitz J L, Kalos M H 1979 Phys. Rev. Lett. 43 282
[5] Komura S, Osamura K, Fujii H, Takeda T 1984 Phys. Rev. B 30 2944
[6] Katano S, Iizumi M 1984 Phys. Rev. Lett. 52 835
[7] Furusaka M, Ishikawa Y, Mera M 1985 Phys. Rev. Lett. 54 2611
[8] Bray A J 1994 Adv. Phys. 43 357
[9] Majumder S, Das S K 2011 Phys. Rev. E 84 021110
[10] Chou Y C, Goldburg W I 1979 Phys. Rev. A 20 2105
[11] Lebowitz J L, Marro J, Kalos M H 1982 Acta Metall. 30 297
[12] Huse D A 1986 Phys. Rev. B 34 7845
[13] Roland C, Grant M 1988 Phys. Rev. Lett. 60 2657
[14] Kubota K, Kuwahara N 1992 Phys. Rev. Lett. 68 197
[15] Tanaka S, Kubo Y, Yokoyama Y, Toda A, Taguchi K, Kajioka H 2011 The Journal of Chemical Physics 135 234503
[16] Furukawa H 1981 Phys. Rev. A 23 1535
[17] Mazenko G F 1991 Phys. Rev. B 43 5747
[18] Mazumder S, Sen D, Batra I S, Tewari R, Dey G K, Banerjee S, Sequeira A, Amenitsch H, Bernstorff S 1999 Phys. Rev. B 60 822
[19] Furukawa H, Binder K 1982 Phys. Rev. A 26 556
[20] Ahmad S, Das S K, Puri S 2012 Phys. Rev. E 85 031140
[21] Zheng H, Shen L, Bai B 2009 Acta Phys. Chim. Sin. 25 2531 (in Chinese) [郑晖, 申亮, 白彬 2009 物理化学学报 25 2531]
[22] Zheng H, Shen L, Bai B, Sun B 2012 Acta Phys. Sin. 61 016104 (in Chinese) [郑晖, 申亮, 白彬, 孙博 2012 物理学报 61 016104]
[23] Puri S, Oono Y 1988 Phys. Rev. A 38 1542
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[1] Lifshitz I M, Slyozov V 1961 J. Phys. Chem. Solids 19 35
[2] Binder K, Stauffer D 1974 Phys. Rev. Lett. 33 1006
[3] Langer S, Bar-on M, Miller H D 1975 Phys. Rev. A 11 1417
[4] Marro J, Lebowitz J L, Kalos M H 1979 Phys. Rev. Lett. 43 282
[5] Komura S, Osamura K, Fujii H, Takeda T 1984 Phys. Rev. B 30 2944
[6] Katano S, Iizumi M 1984 Phys. Rev. Lett. 52 835
[7] Furusaka M, Ishikawa Y, Mera M 1985 Phys. Rev. Lett. 54 2611
[8] Bray A J 1994 Adv. Phys. 43 357
[9] Majumder S, Das S K 2011 Phys. Rev. E 84 021110
[10] Chou Y C, Goldburg W I 1979 Phys. Rev. A 20 2105
[11] Lebowitz J L, Marro J, Kalos M H 1982 Acta Metall. 30 297
[12] Huse D A 1986 Phys. Rev. B 34 7845
[13] Roland C, Grant M 1988 Phys. Rev. Lett. 60 2657
[14] Kubota K, Kuwahara N 1992 Phys. Rev. Lett. 68 197
[15] Tanaka S, Kubo Y, Yokoyama Y, Toda A, Taguchi K, Kajioka H 2011 The Journal of Chemical Physics 135 234503
[16] Furukawa H 1981 Phys. Rev. A 23 1535
[17] Mazenko G F 1991 Phys. Rev. B 43 5747
[18] Mazumder S, Sen D, Batra I S, Tewari R, Dey G K, Banerjee S, Sequeira A, Amenitsch H, Bernstorff S 1999 Phys. Rev. B 60 822
[19] Furukawa H, Binder K 1982 Phys. Rev. A 26 556
[20] Ahmad S, Das S K, Puri S 2012 Phys. Rev. E 85 031140
[21] Zheng H, Shen L, Bai B 2009 Acta Phys. Chim. Sin. 25 2531 (in Chinese) [郑晖, 申亮, 白彬 2009 物理化学学报 25 2531]
[22] Zheng H, Shen L, Bai B, Sun B 2012 Acta Phys. Sin. 61 016104 (in Chinese) [郑晖, 申亮, 白彬, 孙博 2012 物理学报 61 016104]
[23] Puri S, Oono Y 1988 Phys. Rev. A 38 1542
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