Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics,Physical Review Letters

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Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-06-16 , DOI: 10.1103/physrevlett.126.244503
Subhadip Chakraborti ₁ , Santhosh Ganapa ₁ , P L Krapivsky _{2,

3} , Abhishek Dhar ₁

Affiliation

A gas composed of a large number of atoms evolving according to Newtonian dynamics is often described by continuum hydrodynamics. Proving this rigorously is an outstanding open problem, and precise numerical demonstrations of the equivalence of the hydrodynamic and microscopic descriptions are rare. We test this equivalence in the context of the evolution of a blast wave, a problem that is expected to be at the limit where hydrodynamics could work. We study a one-dimensional gas at rest with instantaneous localized release of energy for which the hydrodynamic Euler equations admit a self-similar scaling solution. Our microscopic model consists of hard point particles with alternating masses, which is a nonintegrable system with strong mixing dynamics. Our extensive microscopic simulations find a remarkable agreement with Euler hydrodynamics, with deviations in a small core region that are understood as arising due to heat conduction.

中文翻译：

一维冷气体中的爆炸：从牛顿动力学到流体动力学

由根据牛顿动力学演化的大量原子组成的气体通常用连续流体动力学来描述。严格证明这一点是一个悬而未决的问题，流体动力学和微观描述等价的精确数值论证很少见。我们在冲击波演化的背景下测试了这种等效性，预计该问题将达到流体动力学可以发挥作用的极限。我们研究了具有瞬时局部能量释放的一维静止气体，其流体动力学欧拉方程承认自相似标度解。我们的微观模型由质量交替的硬点粒子组成，这是一个具有强混合动力学的不可积系统。我们广泛的微观模拟发现与欧拉流体动力学惊人的一致，

更新日期：2021-06-16

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