5邻域随机粒子系统的渐近行为
Asymptotic behavior of a stochastic particle system of 5 neighbors
摘要：
我们分析了一个随机粒子系统的5个邻居。考虑转移矩阵的特征值问题，提出了系统的渐近分布由渐近解中特定局部模式的个数决定的猜想。在此基础上，从理论上导出了平均通量与一对守恒量的关系。此外，通过对随机参数的限制，得到了确定性情形下的平均通量。
英文摘要：
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.
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