论文标题
完全不对称相互作用粒子系统的平衡波动
Equilibrium fluctuations for totally asymmetric interacting particle systems
论文作者
论文摘要
我们研究了一类完全不对称的零范围相互作用粒子系统的平衡波动。作为主要结果，我们表明我们的过程的密度波动会收敛到随机汉堡方程的固定能溶液。作为一种特殊情况，我们在这里考虑的微观系统与$ q $ - 当时不对称的简单排除过程（$ q $ -taseps）有关，我们的缩放限制限制对应于让量子参数$ q $成为一个。
We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the stochastic Burgers equation. As a special case, microscopic system we consider here is related to $q$-totally asymmetric simple exclusion processes ($q$-TASEPs) and our scaling limit corresponds to letting the quantum parameter $q$ to be one.
