发表机构
University of California, Berkeley（加州大学伯克利分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究证明一维弱非对称简单包含过程的稳态密度涨落场收敛到随机伯格斯方程的能量解，借助二阶玻尔兹曼-吉布斯原理，还得到弱凝聚 regime 下对称包含过程的奥恩斯坦-乌伦贝克涨落这一独立结果。
AI 中文摘要
我们证明了一维弱非对称简单包含过程的稳态密度涨落场收敛到随机伯格斯方程的能量解。关键技术要素是针对微观流量身定制的二阶玻尔兹曼-吉布斯原理。由此，我们还得到了弱凝聚 regime 下对称包含过程的奥恩斯坦-乌伦贝克涨落，这是一项具有独立意义的结果。
英文摘要
We prove that the stationary density fluctuation field of the one-dimensional weakly asymmetric simple inclusion process converges to the energy solution of the stochastic Burgers equation. The key technical ingredient is a second-order Boltzmann-Gibbs principle tailored to the microscopic current. As a consequence, we also obtain Ornstein-Uhlenbeck fluctuations for the symmetric inclusion process in a weakly condensing regime, a result of independent interest.
Comments46 pages
