二维格子气模型的超扩散系数
Superdiffusivity of two dimensional lattice gas models
摘要：
证明了随机格子气动力学在不可压缩极限下收敛于一维Navier-Stokes方程。特别地，粘度是有限的。另一方面，我们证明了二维格子气模型的粘性比$\log \log t$发散得快。我们的论证表明正确的发散率是$(\log t)^{1/2}$。这个问题与标记粒子速度自相关函数的时间衰减率的对数修正密切相关。
英文摘要：
It was proved \cite{EMYa, QY} that stochastic lattice gas dynamics converge to the Navier-Stokes equations in dimension $d=3$ in the incompressible limits. In particular, the viscosity is finite. We proved that, on the other hand, the viscosity for a two dimensional lattice gas model diverges faster than $\log \log t$. Our argument indicates that the correct divergence rate is $(\log t)^{1/2}$. This problem is closely related to the logarithmic correction of the time decay rate for the velocity auto-correlation function of a tagged particle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
