13-Moment System with Global Hyperbolicity for Quantum Gas
文献类型：期刊论文
| 作者 | Di, Yana1 ; Fan, Yuwei2; Li, Ruo3,4,5
|
| 刊名 | JOURNAL OF STATISTICAL PHYSICS
 |
| 出版日期 | 2017-06-01 |
| 卷号 | 167期号:5页码:1280-1302 |
| 关键词 | Quantum gas Quantum Boltzmann equation Grad's 13-moment system Global hyperbolicity Regularization |
| ISSN号 | 0022-4715 |
| DOI | 10.1007/s10955-017-1768-0 |
| 英文摘要 | We point out that the quantum Grad's 13-moment system (Yano in Physica A 416:231-241, 2014) is lack of global hyperbolicity, and even worse, the thermodynamic equilibrium is not an interior point of the hyperbolicity region of the system. To remedy this problem, by fully considering Grad's expansion, we split the expansion into the equilibrium part and the non-equilibrium part, and propose a regularization for the system with the help of the new hyperbolic regularization theory developed in Cai et al. (SIAM J Appl Math 75(5):2001-2023, 2015) and Fan et al. (J Stat Phys 162(2):457-486, 2016). This provides us a new model which is hyperbolic for all admissible thermodynamic states, and meanwhile preserves the approximate accuracy of the original system. It should be noted that this procedure is not a trivial application of the hyperbolic regularization theory. |
| 资助项目 | National Natural Science Foundation of China[11271358] ; National Natural Science Foundation of China[91330205] ; National Natural Science Foundation of China[11421110001] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11325102] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000400892400010 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25378]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Fan, Yuwei |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, NCMIS,AMSS, Beijing, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing, Peoples R China 3.Peking Univ, HEDPS, Beijing, Peoples R China 4.Peking Univ, CAPT, LMAM, Beijing, Peoples R China 5.Peking Univ, Sch Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Di, Yana,Fan, Yuwei,Li, Ruo. 13-Moment System with Global Hyperbolicity for Quantum Gas[J]. JOURNAL OF STATISTICAL PHYSICS,2017,167(5):1280-1302. |
| APA | Di, Yana,Fan, Yuwei,&Li, Ruo.(2017).13-Moment System with Global Hyperbolicity for Quantum Gas.JOURNAL OF STATISTICAL PHYSICS,167(5),1280-1302. |
| MLA | Di, Yana,et al."13-Moment System with Global Hyperbolicity for Quantum Gas".JOURNAL OF STATISTICAL PHYSICS 167.5(2017):1280-1302. |
入库方式： OAI收割
来源：数学与系统科学研究院
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