论文标题
硬杆流体动力学和Levy Chentsov领域
Hard Rod Hydrodynamics and the Levy Chentsov Field
论文作者
论文摘要
我们通过描述每个准粒子相对于相应的理想气体粒子的位移，研究了由Boldrighini，Dobrushin和Soukhov提出的硬杆模型的流体动力学。从位置长度空间$ \ Mathbb {r}^3 $中包含的非均匀泊松过程开始，我们显示了Quasiparticle位置和长度字段的大量定律，以及Quasiparticle波动的关节收敛到Levy Chentsov Field。我们允许可变的杆长度，包括负长度。
We study the hydrodynamics of the hard rod model proposed by Boldrighini, Dobrushin and Soukhov by describing the displacement of each quasiparticle with respect to the corresponding ideal gas particle as a height difference in a related field. Starting with a family of nonhomogeneous Poisson processes contained in the position-velocity-length space $\mathbb{R}^3$, we show laws of large numbers for the quasiparticle positions and the length fields, and the joint convergence of the quasiparticle fluctuations to a Levy Chentsov field. We allow variable rod lengths, including negative lengths.
