硬圆盘气体中的慢速热驱动流

中文摘要 AI 辅助

我们研究了限制在长通道中的弹性碰撞硬圆盘气体中的慢速热驱动流。初始状态由两个温度和密度对比大但压力几乎相等的区域组成，导致低马赫数、近等压演化。在稀薄极限下，相应的等压流体动力学理论简化为先前已知的理想气体描述。我们通过引入硬圆盘流体的非理想状态方程将该理论扩展到有限密度，并数值求解得到的一维方程。有限密度效应产生了与理想气体预测的显著偏差。然后，我们直接针对硬圆盘的事件驱动分子动力学模拟测试该理论，在稀薄和有限密度状态下都发现了非常好的一致性。据我们所知，这些结果提供了对强非均匀冷却流的等压气体动力学的首次粒子级测试。

英文摘要

We study a slow heat-driven flow in a gas of elastically colliding hard disks confined to a long channel. The initial state consists of two regions with large temperature and density contrasts but nearly equal pressures, leading to a low-Mach-number, nearly isobaric evolution. In the dilute limit, the corresponding isobaric hydrodynamic theory reduces to a previously known ideal-gas description. We extend this theory to finite densities by incorporating a non-ideal equation of state of a hard-disk fluid, and solve the resulting one-dimensional equations numerically. Finite-density effects produce appreciable deviations from the ideal-gas prediction. We then test the theory directly against event-driven molecular dynamics simulations of hard disks and find very good agreement in both the dilute and finite-density regimes. The results provide, to our knowledge, the first particle-level test of isobaric gas dynamics of a strongly inhomogeneous cooling flow.

发表机构

• International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（国际理论科学中心，塔塔基础研究所）
• Racah Institute of Physics, Hebrew University of Jerusalem（拉卡物理研究所，耶路撒冷希伯来大学）

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