论文标题
5个邻居的随机粒子系统的渐近行为
Asymptotic behavior of a stochastic particle system of 5 neighbors
论文作者
论文摘要
我们分析了5个邻居的随机粒子系统。考虑到过渡矩阵的特征值问题，我们提出了一个猜想，即系统的渐近分布取决于渐近解决方案中特定局部模式的数量。基于猜想，理论上得出了一对保守量的平均通量。此外，我们通过随机参数的极限在确定性情况下获得平均通量。
We analyze a stochastic particle system of 5 neighbors. Considering eigenvalue problem of transition matrix, we propose a conjecture that asymptotic distribution of the system is determined by the number of specific local patterns in the asymptotic solution. Based on the conjecture, mean flux which depends of a pair of the conserved quantities is derived theoretically. Moreover, we obtain mean flux in the deterministic case through the limit of stochastic parameter.
