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Numerical method toward fast and accurate calculation of dilute quantum gas using Uehling-Uhlenbeck model equation

2015/11/23 by Ryosuke Yano, Yano, Ryosuke
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1511.07764

openalex publication_date 2015/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The numerical method toward the fast and accurate calculation of the dilute quantum gas is studied by proposing the Uehing-Uhlenbeck (U-U) model equation. In particular, the direct simulation Monte Carlo (DSMC) method is used to solve the U-U model equation. The DSMC analysis of the U-U model equation surely enables us to obtain the accurate thermalization using a small number of sample particles and calculate the dilute quantum gas dynamics in practical time. Finally, the availability of the DSMC analysis of the U-U model equation toward the fast and accurate calculation of the dilute quantum gas is confirmed by calculating the viscosity coefficient of the Bose gas on the basis of Green-Kubo expression or shock layer of the dilute Bose gas around a circular cylinder

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