论文标题
具有开放边界的广义对称排除的流体动力学行为
Hydrodynamical behavior for the generalized symmetric exclusion with open boundary
论文作者
论文摘要
我们分析了广义的对称排除过程，该过程允许每个站点最多$α$颗粒，并将其与随机储层接触，其强度受\ Mathbb r $ in \ Mathbb r $的参数$θ\调节的随机储层。我们证明流体动力行为是由热方程式给出的，并取决于$θ$的值，该方程是补充了不同的边界条件。设置$α= 1 $，我们在[1]中找到了对称简单排除过程中已知的结果。
We analyze the generalized symmetric exclusion process, which allows at most $α$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $θ\in\mathbb R$. We prove that the hydrodynamic behavior is given by the heat equation and depending on the value of $θ$, the equation is supplemented with different boundary conditions. Setting $α= 1$ we find the results known in [1] for the symmetric simple exclusion process.
