论文标题
相互作用粒子系统的高阶流体动力学和平衡波动
Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems
论文作者
论文摘要
由Ayala，Carinci和Redig最近的预印本[ARXIV：2004.08412]的动机，我们首先为研究高阶领域的缩放限制提供了一个通用框架。然后，通过考虑与[Arxiv：2004.08412]中同一类的无限相互作用粒子系统，即在D维欧几里德晶格中对称对称的简单排除和包含过程，我们证明了流体动力学极限，并且平衡波动的收敛性较高。特别是，极限场表现出张量结构。我们的波动结果与[Arxiv：2004.08412]中的波动结果不同，因为我们考虑了高阶波动场的不同概念。
Motivated by the recent preprint [arXiv:2004.08412] by Ayala, Carinci, and Redig, we first provide a general framework for the study of scaling limits of higher order fields. Then, by considering the same class of infinite interacting particle systems as in [arXiv:2004.08412], namely symmetric simple exclusion and inclusion processes in the d-dimensional Euclidean lattice, we prove the hydrodynamic limit, and convergence for the equilibrium fluctuations, of higher order fields. In particular, the limit fields exhibit a tensor structure. Our fluctuation result differs from that in [arXiv:2004.08412], since we consider a different notion of higher order fluctuation fields.
