Fast and accurate calculation of dilute quantum gas using Uehling-Uhlenbeck model equation

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• 作者：Ryosuke Yano ^{ryosuke.yano@tokiorisk.co.jp}
• 关键词：Uehling&ndash ; Uhlenbeck equation ; Kinetic Theory of cold gas ; Extended DSMC method
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：1010-1021
• 全文大小：708 K
• 卷排序：330

文摘

The Uehling–Uhlenbeck (U–U) model equation is studied for the fast and accurate calculation of a dilute quantum gas. In particular, the direct simulation Monte Carlo (DSMC) method is used to solve the U–U model equation. DSMC analysis based on the U–U model equation is expected to enable the thermalization to be accurately obtained using a small number of sample particles and the dilute quantum gas dynamics to be calculated in a practical time. Finally, the applicability of DSMC analysis based on the U–U model equation to the fast and accurate calculation of a dilute quantum gas is confirmed by calculating the viscosity coefficient of a Bose gas on the basis of the Green–Kubo expression and the shock layer of a dilute Bose gas around a cylinder.