论文标题
具有KAC电位的振荡器链的Vlasov极限
Vlasov limit for a chain of oscillators with Kac potentials
论文作者
论文摘要
我们考虑了一系列具有局部平均场相互作用和远距离随机交换速度的无谐振荡器。即使颗粒不可交换，我们也证明了与该链相关的经验度量与vlasov型方程的解决方案的收敛性。然后，我们使用这种融合来证明限制性类的非谐电势的能量扩散。
We consider a chain of anharmonic oscillators with local mean field interaction and long-range stochastic exchanges of velocity. Even if the particles are not exchangeable, we prove the convergence of the empirical measure associated with this chain to a solution of a Vlasov-type equation. We then use this convergence to prove energy diffusion for a restricted class of anharmonic potentials.
