论文标题
在平衡处硬球气体的长期相关性
Long-time correlations for a hard-sphere gas at equilibrium
论文作者
论文摘要
自Lanford [19]以来，鲍尔茨曼方程至少在短时间内以低密度极限描述了硬球体气体的动力学。经典的证明策略失败了更长的时间，甚至接近平衡。在本文中，我们介绍了一种二元性方法，再加上修剪论点，以证明平衡周围波动的协方差在全球范围内的线性化玻尔兹曼方程（包括扩散方案）。该方法比[4]中设计的一种方法更强大，更简单。
It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical strategy of proof fails for longer times, even close to equilibrium. In this paper, we introduce a duality method coupled with a pruning argument to prove that the covariance of the fluctuations around equilibrium is governed by the linearized Boltzmann equation globally in time (including in diffusive regimes). This method is much more robust and simple than the one devised in [4] which was specific to the 2D case.
