Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
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DOI：
10.1016/j.physletb.2019.134914
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发表时间：
2018-05
影响因子：
4.4
通讯作者：
A. Behtash;C. N. Cruz-Camacho;S. Kamata;Mauricio Martinez
中科院分区：
文献类型：
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作者：
A. Behtash;C. N. Cruz-Camacho;S. Kamata;Mauricio Martinez
对于Bjorken流，我们通过分析其相对论动力学方程，研究了单粒子分布函数的不同模式的流体动力学行为。我们计算了由Knudsen Kn和逆雷诺Re−1数量化的非微扰耗散贡献的多参数跨级数形式的本构关系。在每个模的渐近展开式中的任意给定阶数，通过对出现在跨级数中的所有非微扰扇区求和，输运系数被有效地重整化。这给出了输运系数的有效描述，提供了一种新的重整化方案和相关的重整化群方程，超越了线性响应理论的领域。因此，重整化的输运系数具有向其平衡不动点的转变，这是对非牛顿行为的一种巧妙的诊断。作为原理的证明，我们用它们相应的演化方程的数值解验证了有效理论的预言。我们的研究有力地表明，流体动力学在远离局部热平衡的唯象意义上的成功是由于流体的瞬时流变行为。
For the Bjorken flow we investigate the hydrodynamization of different modes of the one-particle distribution function by analyzing its relativistic kinetic equations. We calculate the constitutive relations of each mode written as a multi-parameter trans-series encoding the non-perturbative dissipative contributions quantified by the Knudsen Kn and inverse Reynolds R e− 1 numbers. At any given order in the asymptotic expansion of each mode, the transport coefficients get effectively renormalized by summing over all non-perturbative sectors appearing in the trans-series. This gives an effective description of the transport coefficients that provides a new renormalization scheme with an associated renormalization group equation, going beyond the realms of linear response theory. As a result, the renormalized transport coefficients feature a transition to their equilibrium fixed point, which is a neat diagnostics of transient non-Newtonian behavior. As a proof of principle, we verify the predictions of the effective theory with the numerical solutions of their corresponding evolution equations. Our studies strongly suggest that the phenomenological success of fluid dynamics far from local thermal equilibrium is due to the transient rheological behavior of the fluid.