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引用次数: 0
摘要
我们考虑的是有限晶格上的开放式相互作用粒子系统。粒子执行非对称简单排斥,在所有位置随机产生或摧毁,其速率在边界附近迅速增长。我们研究了双曲时空尺度下粒子密度的流体力学极限,并获得了带有源项的边界驱动准线性守恒定律的熵解。与 Bardos 等人 (Commun Partial Differ Equ 4(9):1017-1034, https://doi.org/10.1080/03605307908820117, 1979) 和 Otto (C R Acad Sci Paris 322(1):729-734, 1996) 中介绍的通常边界条件不同,由于采用了强弛豫方案,在边界处不会形成不连续性(边界层)。
Hydrodynamics for Asymmetric Simple Exclusion on a Finite Segment with Glauber-Type Source
We consider an open interacting particle system on a finite lattice. The particles perform asymmetric simple exclusion and are randomly created or destroyed at all sites, with rates that grow rapidly near the boundaries. We study the hydrodynamic limit for the particle density at the hyperbolic space-time scale and obtain the entropy solution to a boundary-driven quasilinear conservation law with a source term. Different from the usual boundary conditions introduced in Bardos et al (Commun Partial Differ Equ 4(9):1017–1034, https://doi.org/10.1080/03605307908820117, 1979) and Otto (C R Acad Sci Paris 322(1):729–734, 1996), discontinuity (boundary layer) does not formulate at the boundaries due to the strong relaxation scheme.
期刊介绍:
The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.