论文标题
恒温KAC模型的混乱统一传播
Uniform propagation of chaos for the thermostated Kac model
论文作者
论文摘要
我们考虑了KAC的1D N颗粒系统，该系统在2014年由Bonetto，Loss和Vaidyanathan引入的理想恒温器与理想的恒温器结合在一起。我们在2-Gasserstein Metric中获得了该系统的混乱结果的传播，并具有明显且均匀的时间n^（-1/3）。我们还显示了概率度量空间中极限动力学方程的适当性和平衡。这些证明使用Cortez和Fontbona先前在2016年提出的耦合参数。
We consider Kac's 1D N-particle system coupled to an ideal thermostat at temperature T, introduced by Bonetto, Loss, and Vaidyanathan in 2014. We obtain a propagation of chaos result for this system, with explicit and uniform-in-time rates of order N^(-1/3) in the 2-Wasserstein metric. We also show well-posedness and equilibration for the limit kinetic equation in the space of probability measures. The proofs use a coupling argument previously introduced by Cortez and Fontbona in 2016.
