Hydrodynamical limit for spatially heterogeneous simple exclusion processes
Hydrodynamical limit for spatially heterogeneous simple exclusion processes
复制标题
空间异质简单排除过程的流体动力学极限
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
C. Bahadoran
中科院分区：
文献类型：
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作者：
C. Bahadoran
总结。在Zd上证明了空间非均质、非对称简单不相容过程的水动力极限。粒子的跳跃速率取决于宏观位置x通过一些非负的，平滑的速度剖面α(x)。流体力学是用空间异构守恒定律的熵解来描述的
Summary. We prove hydrodynamical limit for spatially heterogeneous, asymmetric simple exclusion processes on Zd. The jump rate of particles depends on the macroscopic position x through some nonnegative, smooth velocity profile α(x). Hydrodynamics are described by the entropy solution to a spatially heterogeneous conservation law of the form
To derive this result, we prove an alternative characterization of entropy solutions involving stationary solutions, and work with macroscopically stationary states rather than the unknown stationary measures of the process. The method can be extended to spatially heterogeneous, asymmetric misanthrope processes with slow birth and death.