Phase ordering dynamics of reconstituting particles

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

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2017

1539-3755

We consider the large-time dynamics of one-dimensional processes involving adsorption and desorption of extended hard-core particles (dimers, trimers,,cdots,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 ge 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 ge 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.