相对论性Viscous Fluid动力学与非平衡熵
Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
摘要:
流体动力学对应于物质在长波长极限下的动力学。在电荷密度为零的相对论系统中,写下梯度(长波长)展开到第二阶的所有项,可以得到剪切和体积粘度存在下流体的最一般(因果)运动方程,以及非平衡熵流的结构。要求非平衡熵流的散度为正,就把它的某些系数与进入运动方程的系数联系起来。我评论这些结果的可能应用保形和非保形流体。
英文摘要:
Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains the most general (causal) equations of motion for a fluid in the presence of shear and bulk viscosity, as well as the structure of the non-equilibrium entropy current. Requiring positivity of the divergence of the non-equilibrium entropy current relates some of its coefficients to those entering the equations of motion. I comment on possible applications of these results for conformal and non-conformal fluids.
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