从单个量子粒子中出现的粘性水力学.
Zhi-Li Zhou1, Mauricio Hippert2,3, Nicki Mullins1
1University of Illinois Urbana-Champaign, Department of Physics and Illinois Center for Advanced Studies of the Universe, 1110 West Green Street, Urbana, Illinois 61801, USA.
空间脱凝驱动开放量子系统中的水力动力学行为. 这项研究表明,量子粒子与热浴相结合如何导致纳维埃-斯托克斯方程,揭示了新出现的流体动力学.
科学领域:
- 量子物理学的量子物理学
- 统计力学就是统计力学.
- 凝聚物质理论 凝聚物质理论
背景情况:
- 开放的量子系统表现出由其环境影响的复杂动态.
- 了解像水力动力学这样的宏观现象从微观量子相互作用的出现是一个关键的挑战.
研究的目的:
- 研究开放量子系统中的空间脱凝如何导致水力动力学行为.
- 建立量子力学和经典流体方程之间的联系.
主要方法:
- 研究了一个与热浴 (Caldeira-Leggett模型) 合的单个非相对论量子粒子.
- 通过扩展减少密度矩阵,利用位置表示中的脱凝.
- 截断了得到的功率序列,以导出水力动力学方程.
主要成果:
- 通过切断二次级的功率序列来导出消耗性短暂的水力动力学方程.
- 展示了运输系数是由缓常数 γ 决定的.
- 证明了不对称的极限产生了纳维埃-斯托克斯方程,用于具有阻力的可压缩流体.
结论:
- 空间脱凝是开放量子系统中水力动力学行为发生的机制.
- 该研究为与大型热环境相结合的系统中的水力动力学描述提供了显微基础.
- 将量子现象与经典流体动力学联系起来,对夸克-子等离子体模拟有意义.
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