标题： 具有非线性扩散和阻塞的运动约束模型 显示英文标题

标题： A kinetically constrained model exhibiting non-linear diffusion and jamming

摘要： 我们提出了一种经典的运动受限模型，用于描述三角梯子上的相互作用粒子，该模型表现出扩散和阻塞现象，并且可以通过经典-量子映射的方法来处理。 如果将其解释为相互作用费米子的理论，则扩散系数是准粒子有效质量的倒数，可以使用平均场理论计算得出。 在临界密度 \r{ho} = 2/3 时，该模型经历了一个动力学相变，在此过程中，指数级多的构型变得阻塞，而另一些则继续保持扩散性。 该模型可以推广到二维情况。 显示英文摘要

摘要： We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting fermions, the diffusion coefficient is the inverse of the effective mass of the quasiparticles which can be computed using mean-field theory. At a critical density \r{ho} = 2/3, the model undergoes a dynamical phase transition in which exponentially many configurations become jammed while others remain diffusive. The model can be generalized to two dimensions.