标题： 一种表现出非线性扩散和堵塞的动力学约束模型 显示英文标题

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

摘要： 我们提出一个在三角形阶梯上相互作用粒子的经典动力学约束模型，该模型表现出扩散和堵塞，并可以通过经典-量子映射进行处理。 作为相互作用费米子理论来解释时，扩散系数是准粒子有效质量的倒数，可以使用平均场理论进行计算。 在临界密度\r{ho} = 2/3 时，该模型经历一种动力学相变，在此过程中指数级多的构型变得堵塞，而其他构型仍保持扩散性。 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.