IFLP-CONICET, Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina.
Phys Rev E. 2017 Jun;95(6-1):062130. doi: 10.1103/PhysRevE.95.062130. Epub 2017 Jun 22.
We consider the large-time dynamics of one-dimensional processes involving adsorption and desorption of extended hard-core particles (dimers, trimers, ..., k-mers), while interacting through their constituent monomers. Desorption can occur whether or not these latter adsorbed together, which leads to reconstitution of k-mers and the appearance of sectors of motion with nonlocal conservation laws for k≥3. Dynamic exponents of the sector including the empty chain are evaluated by finite-size scaling analyses of the relaxation times embodied in the spectral gaps of evolution operators. For attractive interactions it is found that in the low-temperature limit such time scales converge to those of the Glauber dynamics, thus suggesting a diffusive universality class for k≥2. This is also tested by simulated quenches down to T=0, where a common scaling function emerges. By contrast, under repulsive interactions the low-temperature dynamics is characterized by metastable states which decay subdiffusively to a highly degenerate and partially jammed phase.
我们研究了一维过程的长时间动力学，其中涉及扩展硬芯粒子（二聚体、三聚体、...、k-聚体）的吸附和解吸，同时通过其组成单体进行相互作用。解吸可以发生在这些后者是否一起吸附，这导致 k-聚体的重新构成和运动扇区的出现，对于 k≥3，这些扇区具有非局部的守恒定律。通过对演化算子谱隙中所包含的弛豫时间进行有限尺寸标度分析，评估了包括空链在内的扇区的动态指数。对于吸引力相互作用，发现在低温极限下，这些时间尺度收敛于格拉伯动力学的时间尺度，从而表明 k≥2 的扩散普适类。这也通过模拟淬火到 T=0 进行了测试，其中出现了一个共同的标度函数。相比之下，在排斥相互作用下，低温动力学的特点是亚扩散衰减到高度简并和部分堵塞的相。
