Many-particle limits and non-convergence of dislocation wall pile-ups
Many-particle limits and non-convergence of dislocation wall pile-ups
复制标题
位错壁堆积的多粒子限制和不收敛
DOI：
10.1088/1361-6544/aa999e
复制
发表时间：
2018
期刊：
影响因子：
1.7
通讯作者：
P. van Meurs
中科院分区：
文献类型：
--
作者：
P. van Meurs
我们分析的出发点是一类具有两个物种的一维相互作用粒子系统。粒子被限制在一个区间内，并对彼此施加一个非局部的排斥力，从而产生一个非平凡的平衡构型。这类粒子系统涵盖了位错壁堆积的设置，这是一个理想化的设置，用于研究文献中几个位错密度模型的微观起源。这种密度模型被用来构建塑性模型中的本构关系。
The starting point of our analysis is a class of one-dimensional interacting particle systems with two species. The particles are confined to an interval and exert a nonlocal, repulsive force on each other, resulting in a nontrivial equilibrium configuration. This class of particle systems covers the setting of pile-ups of dislocation walls, which is an idealised setup for studying the microscopic origin of several dislocation density models in the literature. Such density models are used to construct constitutive relations in plasticity models.