论文标题
Boltzmann - Grad限制中的波动理论
Fluctuation theory in the Boltzmann--Grad limit
论文作者
论文摘要
我们在动力学方面开发了严格的硬球动力学理论，远离热平衡。在低密度极限中，经验密度遵守大量定律，动力学受玻尔兹曼方程的控制。 与这种行为的偏差通过动态相关性描述，可以在短时间内完全表征。这既可以提供波动的玻尔兹曼方程，又提供了较大的偏离渐近学。
We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed by the Boltzmann equation. Deviations from this behaviour are described by dynamical correlations, which can be fully characterized for short times. This provides both a fluctuating Boltzmann equation and large deviation asymptotics.
