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

## Abstract

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.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22622253

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Computational Physics; Journal Volume: 330; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN GAS; COMPUTERIZED SIMULATION; EQUATIONS; KINETICS; LAYERS; MONTE CARLO METHOD; THERMALIZATION; VISCOSITY

### Citation Formats

```
Yano, Ryosuke, E-mail: ryosuke.yano@tokiorisk.co.jp.
```*Fast and accurate calculation of dilute quantum gas using Uehling–Uhlenbeck model equation*. United States: N. p., 2017.
Web. doi:10.1016/J.JCP.2016.10.071.

```
Yano, Ryosuke, E-mail: ryosuke.yano@tokiorisk.co.jp.
```*Fast and accurate calculation of dilute quantum gas using Uehling–Uhlenbeck model equation*. United States. doi:10.1016/J.JCP.2016.10.071.

```
Yano, Ryosuke, E-mail: ryosuke.yano@tokiorisk.co.jp. Wed .
"Fast and accurate calculation of dilute quantum gas using Uehling–Uhlenbeck model equation". United States.
doi:10.1016/J.JCP.2016.10.071.
```

```
@article{osti_22622253,
```

title = {Fast and accurate calculation of dilute quantum gas using Uehling–Uhlenbeck model equation},

author = {Yano, Ryosuke, E-mail: ryosuke.yano@tokiorisk.co.jp},

abstractNote = {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.},

doi = {10.1016/J.JCP.2016.10.071},

journal = {Journal of Computational Physics},

number = ,

volume = 330,

place = {United States},

year = {Wed Feb 01 00:00:00 EST 2017},

month = {Wed Feb 01 00:00:00 EST 2017}

}