论文标题
在定期实现中相互作用粒子系统相互作用的粒子系统的流体动力限制
Hydrodynamic limits of interacting particle systems on crystal lattices in periodic realizations
论文作者
论文摘要
我们研究了简单排除过程的流体动力限制和晶格上的零范围过程。为了定期实现晶格，我们得出了排除过程和零范围过程的流体动力极限，这既取决于晶格的结构和周期性实现。即使通过晶体晶格具有不均匀的局部结构，对于所有周期性实现，我们都采用熵方法来推导流体动力学限制。另外，我们讨论了极限方程如何取决于实现的选择。
We study the hydrodynamic limits of the simple exclusion processes and the zero range processes on crystal lattices. For a periodic realization of crystal lattice, we derive the hydrodynamic limit for the exclusion processes and the zero range processes, which depends on both the structure of crystal lattice and the periodic realization. Even through the crystal lattices have inhomogeneous local structure, for all periodic realizations, we apply the entropy method to derive the hydrodynamic limits. Also, we discuss how the limit equation depends on the choices of the realizations.
