具有动量依赖弛豫时间的相对论流体力学

Sukanya Mitra
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引用次数: 5

摘要

利用相对论输运方程中的动量相关松弛时间,导出了二阶相对论流体力学理论。为此,采用了梯度展开法的迭代技术,即粒子分布函数的Chapman-Enskog (CE)展开。本工作的主要发现是:(i)碰撞项的动量依赖弛豫时间在热力学变量的扩展朗道匹配条件下的结果,(ii)玻尔兹曼方程数值解的结果位于两个流行的极限之间。(ii)在迭代梯度展开法(如CE)和著名的矩法(如Grad的14矩法)之间建立了等效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Relativistic hydrodynamics with momentum-dependent relaxation time
A second order relativistic hydrodynamic theory has been derived using momentum dependent relaxation time in the relativistic transport equation. In order to do that, an iterative technique of gradient expansion approach, namely Chapman-Enskog (CE) expansion of the particle distribution function has been employed. The key findings of this work are, (i) momentum dependent relaxation time in collision term results in an extended Landau matching condition for the thermodynamic variables, (ii) the result from numerical solution of Boltzmann equation lies somewhere in between the two popular extreme limits : linear and quadratic ansatz, indicating a fractional power of momentum dependence in relaxation time to be appropriate, (ii) an equivalence has been established between the iterative gradient expansion method like CE and the well known moment approach like Grad's 14-moment method.
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