Metastable and scaling regimes of one-dimensional Kawasaki dynamics.

Phys Rev E

IFLP, UNLP, CONICET, Facultad de Ciencias Exactas, C.C. 67, 1900 La Plata, Argentina and Departamento de Física, FCE, UNLP, La Plata, Argentina.

Published: April 2016

AI Article Synopsis

  • The study examines how various metastable configurations in a chain of Ising spins, influenced by both first- and second-neighbor interactions, behave over time under Kawasaki dynamics.
  • Different dynamic exponents are identified based on the coupling ratios and signs, with these metrics derived from finite-size scaling analyses of the relaxation times.
  • At low temperatures, the researchers use exact diagonalizations of the evolution operator to calculate relaxation times, concluding that without metastability, the dynamics remain consistently diffusive.

Article Abstract

We investigate the large-time scaling regimes arising from a variety of metastable structures in a chain of Ising spins with both first- and second-neighbor couplings while subject to Kawasaki dynamics. Depending on the ratio and sign of these former, different dynamic exponents are suggested by finite-size scaling analyses of relaxation times. At low but nonzero temperatures these are calculated via exact diagonalizations of the evolution operator in finite chains under several activation barriers. In the absence of metastability the dynamics is always diffusive.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevE.93.042120DOI Listing

Publication Analysis

Top Keywords

scaling regimes
8
kawasaki dynamics
8
metastable scaling
4
regimes one-dimensional
4
one-dimensional kawasaki
4
dynamics investigate
4
investigate large-time
4
large-time scaling
4
regimes arising
4
arising variety
4

Similar Publications

High spatial or temporal variability in community composition makes it challenging for natural resource managers to predict ecosystem trajectories at scales relevant to management. This is commonly the case in nearshore marine environments, where the frequency and intensity of disturbance events vary at the sub-kilometer to meter scale, creating a patchwork of successional stages within a single ecosystem. The successional stage of a community impacts its stability, recovery potential, and trajectory over time in predictable ways.

View Article and Find Full Text PDF

A significant challenge in commercializing electrochemical CO reduction (COR) is achieving catalyst durability. In this study, online inductively coupled mass spectrometry (ICP-MS) was used to investigate catalyst degradation via nanoparticle detachment and/or dissolution into metal ions under COR operating conditions in 0.1 M KHCO.

View Article and Find Full Text PDF

Background: To date, there has been limited exploration, particularly on a national scale, of the prevalence patterns of comorbidities and complications associated with rheumatoid arthritis (RA) in Colombia. We aimed to analyze the prevalence patterns of comorbidities and disease-related complications of RA patients enrolled in Colombia's contributory healthcare regime.

Methods: We performed a nationwide observational descriptive cross-sectional study using administrative claims data.

View Article and Find Full Text PDF

Seed size is a trait which determines survival rates for individual plants and can vary as a result of numerous trade-offs. In the palm family (Arecaceae) today, there is great variation in seed sizes. Past studies attempting to establish drivers for palm seed evolution have sometimes yielded contradictory findings in part because modern seed size variations are complicated by long-term legacies, including biogeographic differences across lineages.

View Article and Find Full Text PDF

The large-scale insect rearing sector is expected to grow significantly in the next few years, with L. (black soldier fly, BSF) playing a pivotal role. As with traditional livestock, it is essential to improve and ensure BSF welfare.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!