AI Article Synopsis
- The study explores the dynamics of one-dimensional processes involving the adsorption and desorption of particles (like dimers and trimers), focusing on how these processes interact through their smaller parts (monomers).
- It highlights the emergence of nonlocal conservation laws and different motion sectors when particles can form or break apart under desorption, particularly noting effects for larger particle groups (k ≥ 3).
- The research finds that under attractive interactions at low temperatures, the time scales align with established models (Glauber dynamics), indicating a diffusive behavior, while repulsive interactions lead to metastable states that decay more slowly toward a crowded, partially jammed phase.
Article Abstract
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.
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| http://dx.doi.org/10.1103/PhysRevE.95.062130 | DOI Listing |
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