论文标题
在波动玻尔兹曼方程的平衡时长期推导
Long-time derivation at equilibrium of the fluctuating Boltzmann equation
论文作者
论文摘要
我们以平衡研究硬球气体，并证明在低密度极限下，波动会融合到受波动玻尔兹曼方程控制的高斯过程。这个结果任意长期存在。证明方法建立在伴侣论文[8]中引入的弱收敛方法上，该方法通过考虑[7]中的伪trajectory簇而得到改进。
We study a hard sphere gas at equilibrium, and prove that in the low density limit, the fluctuations converge to a Gaussian process governed by the fluctuating Boltzmann equation. This result holds for arbitrarily long times. The method of proof builds upon the weak convergence method introduced in the companion paper [8] which is improved by considering clusters of pseudo-trajectories as in [7].
