McNamara S, Mareschal M
Centre Européen de Calcul Atomique et Moléculaire, Ecole Normale Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5 Pt 1):051103. doi: 10.1103/PhysRevE.64.051103. Epub 2001 Oct 16.
Recent studies of the Lyapunov spectrum of the hard sphere fluid reveal that there are "hydrodynamic" Lyapunov exponents corresponding to collective perturbations in phase space. We show that these collective perturbations are due to the conservation of certain quantities during collisions. These new conservation laws generate new hydrodynamic fields, just as the conservation of mass, momentum, and energy generate the density, velocity, and temperature fields. We then construct a detailed theory of the new hydrodynamic fields using a kinetic theory approach. This theory predicts several properties of the modes, but not all of them. This suggests that the underlying idea is correct, but a detailed theory must be elaborated in another way. The hydrodynamic exponents are not related in a simple way to the transport coefficients.
近期对硬球流体的李雅普诺夫谱的研究表明，存在与相空间中的集体微扰相对应的“流体动力学”李雅普诺夫指数。我们证明这些集体微扰是由于碰撞过程中某些量的守恒所致。这些新的守恒定律产生了新的流体动力学场，正如质量、动量和能量的守恒产生密度、速度和温度场一样。然后，我们使用动力学理论方法构建了新流体动力学场的详细理论。该理论预测了这些模式的几个性质，但并非全部。这表明基本思想是正确的，但必须以另一种方式详细阐述理论。流体动力学指数与输运系数并非以简单方式相关。
