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Coarsening in a driven Ising chain with conserved dynamics.

V Spirin1, P L Krapivsky, S Redner

  • 1Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

This study reveals anomalous ordering dynamics in Ising chains due to unique domain behaviors. Short domains, or dimers, exhibit long-range hopping, altering the system's overall coarsening process.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Investigating low-temperature coarsening dynamics in magnetic systems.
  • Understanding the role of spin-exchange dynamics and driving forces in ordering processes.

Purpose of the Study:

  • To analyze the anomalous ordering dynamics of an Ising chain under specific conditions.
  • To characterize the behavior of domain diffusion and hopping, particularly for dimers.

Main Methods:

  • Simulating an Ising chain with spin-exchange dynamics and a driving force.
  • Modeling the system as a domain diffusion process with distinct dimer behavior.
  • Analyzing characteristic length scales and their impact on domain density decay.

Main Results:

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  • Observed anomalous ordering dynamics driven by two length scales: average domain length L(t) ~ t(1/2) and average dimer hopping distance l(t) ~ t(1/4).
  • Found that the density of short domains decays as t(-5/4).
  • This decay deviates from the expected t(-3/2) decay seen in pure domain diffusion.

    • Conclusions:

    • The presence of long-range dimer hopping leads to a deviation from standard coarsening behavior.
    • The identified anomalous dynamics are a direct consequence of the interplay between different domain sizes.
    • This research provides insights into complex ordering phenomena in statistical physics systems.