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arXiv 2202.08685nucl-thhep-phhep-th
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一阶相对论流体力学在一般坐标系下对任意相互作用是稳定的和因果的吗?

Is first-order relativistic hydrodynamics in general frame stable and causal for arbitrary interaction?

Rajesh Biswas, Sukanya Mitra, Victor Roy

摘要:

在一般框架下,利用梯度展开技术,从微观动力学方程导出了一阶稳定的、因果的相对论流体力学理论。从水动力场的任意匹配条件出发,引入了一般框架。通过动量相关弛豫时间近似(MDRTA)与建议的碰撞算子,保持守恒定律的相互作用中引入的相对论性玻尔兹曼方程。我们在这里首次证明,不仅一般的框架选择,而且微观相互作用速率的动量依赖性,通过MDRTA捕获,是必不可少的产生必要的场修正,产生一个因果关系和稳定的一阶相对论理论。

英文摘要:

We derive a first-order, stable and causal, relativistic hydrodynamic theory from the microscopic kinetic equation using the gradient expansion technique in a general frame. The general frame is introduced from the arbitrary matching conditions for hydrodynamic fields. The interaction is introduced in the relativistic Boltzmann equation through the momentum-dependent relaxation time approximation (MDRTA) with the proposed collision operator that preserves the conservation laws. We demonstrate here for the first time that not only the general frame choice, but also the momentum dependence of microscopic interaction rate, captured through MDRTA, is imperative for producing the essential field corrections that give rise to a causal and stable first-order relativistic theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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