Phase ordering dynamics of reconstituting particles

H. D. ROSALES; M. D. GRYNBERG; F. A. GÓMEZ ALBARRACÍN

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

American Physical Society

Lugar: Ridge, New Yrok; Año: 2017 vol. 95 p. 1 - 9

2470-0045

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 finitesize 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.