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摘要翻译：
研究了完全非对称排斥过程的一个推广，它包含了一个动态扩展的格。虽然最初是作为丝状真菌生长的模型而受到启发的，但在这里，动态扩展排斥过程(DEEP)是作为非平衡排斥过程模型类别的一个重要补充而被研究的。在这里，我们讨论了各种平均场近似格式，并阐明了模型的稳态行为及其相关的相图。特别值得注意的是，扩展晶格的动力学在相图中导致了一个新的区域，在该区域中，密度中的激波间断以低于晶格尖端速度的速度向前移动。因此，在这个区域，冲击从两个边界退去。
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英文标题：
《A dynamically extending exclusion process》
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作者：
K. E. P. Sugden, M. R. Evans
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
An extension of the totally asymmetric exclusion process, which incorporates a dynamically extending lattice is explored. Although originally inspired as a model for filamentous fungal growth, here the dynamically extending exclusion process (DEEP) is studied in its own right, as a nontrivial addition to the class of nonequilibrium exclusion process models. Here we discuss various mean-field approximation schemes and elucidate the steady state behaviour of the model and its associated phase diagram. Of particular note is that the dynamics of the extending lattice leads to a new region in the phase diagram in which a shock discontinuity in the density travels forward with a velocity that is lower than the velocity of the tip of the lattice. Thus in this region the shock recedes from both boundaries.
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PDF链接：
https://arxiv.org/pdf/707.4504
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