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深入研究库仑碰撞, 对两种库仑碰撞模型Ta模型与Nanbu模型在理论上进行了对比分析, 详细阐述了两种模型中散射角大小的区别. 在已有的采用Ta模型的全三维粒子模拟/蒙特长罗 (PIC/MCC) 算法基础上, 采用Nanbu模型对电子间库仑碰撞计算模块重新进行了算法设计. 分别应用Ta模型、Nanbu模型和无库仑碰撞的全三维PIC/MCC算法对国外热门负氢离子源JAEA 10 A中的电子能量沉积进行了模拟分析. 模拟结果与实验结果的对比分析发现: 1) 库仑碰撞使电子能量分布更接近于麦克斯韦分布; 2) 相对于传统的Ta模型, Nanbu模型的散射角考虑了多体碰撞的累加效果从而具有更高的期望值, 按其模拟得到的电子温度具有更高的精度. 这些为国内外学者设计相关算法指明了方向.
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关键词:
- 库仑碰撞 /
- Ta模型和Nanbu模型 /
- 负氢离子源 /
- 电子能量沉积
Two models (Ta and Nanbu) of Coulomb collisions are compared theoretically, and the difference in scatter angle between Ta model and Nanbu model is analyzed particularly. The model of Coulomb collisions between electrons in the code which is developed already with Ta model is rebuilded with Nanbu model. Then, the codes with Ta model and Nanbu model are used for simulating electron energy distribution in JAEA 10 A respectively. The results of simulation are compared with the experimental results, showing that the electron energy distribution is closer to Maxwell distribution with Coulomb collisions and the Nanbu model is more accurate than the Ta model.-
Keywords:
- Coulomb collisions /
- Ta model and Nanbu model /
- negative hydrogen ions sources /
- electron energy distribution
[1] Yang C, Liu D G, Wang H H, Yang Y P, Liao F Y, Liu L Q, Peng K, Xia M Z 2012 Acta Phys. Sin. 61 235201 (in Chinese) [杨超, 刘大刚, 王辉辉, 杨宇鹏, 廖方燕, 刘腊群, 彭凯, 夏蒙重 2012 61 235201]
[2] Yang C, Liu D G, Xia M Z, Wang H H, Wang X M, Liu L Q, Peng K 2012 Acta Phys. Sin. 61 185204 (in Chinese) [杨超, 刘大刚, 夏蒙重, 王辉辉, 王小敏, 刘腊群, 彭凯 2012 61 185204]
[3] Tobari H, Hanada M, Kashiwagi M, Taniguchi M, Umeda N, Watanabe K, Inoue T, Sakamoto K, Takado N 2008 Rev. Sci. Instrum. 79 02C111
[4] Inoue T, Tobari H, Takado N, Hanada M, Kashiwagi M, Hatayama A, Wada M, Sakamoto K 2008 Rev. Sci. Instrum. 79 02C112
[5] Katoh K, Takado N, Hatayama A, Hanada M, Seki T, Inoue T 2006 Rev. Sci. Instrum. 77 03A535
[6] Hanada M, Seki T, Takado N, Inoue T, Tobari H, Mizuno T, Hatayama A, Dairaku M, Kashiwagi M, Sakamoto K, Taniguchi M, Watanabe K 2006 Rev. Sci. Instrum. 77 03A515
[7] Fujino I, Hatayama A, Takado N, Inoue T 2008 Rev. Sci. Instrum. 79 02A510
[8] Terasaki R, Fujino I, Hatayama A, Mizuno T, Inoue T 2010 Rev. Sci. Instrum. 81 02A703
[9] Yang C, Liu D G, Wang X M, Liu L Q, Wang X Q, Liu S G 2012 Acta Phys. Sin. 61 045204 (in Chinese) [杨超, 刘大刚, 王小敏, 刘腊群, 王学琼, 刘盛纲 2012 61 045204]
[10] Yang C, Liu D G, Wang X Q, Wang X M, Xia M Z, Peng K 2012 Acta Phys. Sin. 61 105206 (in Chinese) [杨超, 刘大刚, 王学琼, 王小敏, 夏蒙重, 彭凯 2012 61 105206]
[11] Takizuka T, Abe H 1977 J. Comp. Phys. 25 205
[12] Nanbu K 1997 Phys. Rev. E 55 4642
[13] Wang C, Lin T, Caflisch R, Cohen B, Dimits A 2008 J. Comp. Phys. 227 4308
[14] Chen F F 1984 Introduction to Plasma Physics (New York: Plenum Press) p229
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[1] Yang C, Liu D G, Wang H H, Yang Y P, Liao F Y, Liu L Q, Peng K, Xia M Z 2012 Acta Phys. Sin. 61 235201 (in Chinese) [杨超, 刘大刚, 王辉辉, 杨宇鹏, 廖方燕, 刘腊群, 彭凯, 夏蒙重 2012 61 235201]
[2] Yang C, Liu D G, Xia M Z, Wang H H, Wang X M, Liu L Q, Peng K 2012 Acta Phys. Sin. 61 185204 (in Chinese) [杨超, 刘大刚, 夏蒙重, 王辉辉, 王小敏, 刘腊群, 彭凯 2012 61 185204]
[3] Tobari H, Hanada M, Kashiwagi M, Taniguchi M, Umeda N, Watanabe K, Inoue T, Sakamoto K, Takado N 2008 Rev. Sci. Instrum. 79 02C111
[4] Inoue T, Tobari H, Takado N, Hanada M, Kashiwagi M, Hatayama A, Wada M, Sakamoto K 2008 Rev. Sci. Instrum. 79 02C112
[5] Katoh K, Takado N, Hatayama A, Hanada M, Seki T, Inoue T 2006 Rev. Sci. Instrum. 77 03A535
[6] Hanada M, Seki T, Takado N, Inoue T, Tobari H, Mizuno T, Hatayama A, Dairaku M, Kashiwagi M, Sakamoto K, Taniguchi M, Watanabe K 2006 Rev. Sci. Instrum. 77 03A515
[7] Fujino I, Hatayama A, Takado N, Inoue T 2008 Rev. Sci. Instrum. 79 02A510
[8] Terasaki R, Fujino I, Hatayama A, Mizuno T, Inoue T 2010 Rev. Sci. Instrum. 81 02A703
[9] Yang C, Liu D G, Wang X M, Liu L Q, Wang X Q, Liu S G 2012 Acta Phys. Sin. 61 045204 (in Chinese) [杨超, 刘大刚, 王小敏, 刘腊群, 王学琼, 刘盛纲 2012 61 045204]
[10] Yang C, Liu D G, Wang X Q, Wang X M, Xia M Z, Peng K 2012 Acta Phys. Sin. 61 105206 (in Chinese) [杨超, 刘大刚, 王学琼, 王小敏, 夏蒙重, 彭凯 2012 61 105206]
[11] Takizuka T, Abe H 1977 J. Comp. Phys. 25 205
[12] Nanbu K 1997 Phys. Rev. E 55 4642
[13] Wang C, Lin T, Caflisch R, Cohen B, Dimits A 2008 J. Comp. Phys. 227 4308
[14] Chen F F 1984 Introduction to Plasma Physics (New York: Plenum Press) p229
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