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Dynamical cluster size heterogeneity.

Amanda de Azevedo-Lopes1, André R de la Rocha1, Paulo Murilo C de Oliveira2,3

  • 1Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil.

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Summary
This summary is machine-generated.

This study introduces a new method to analyze spin domain dynamics after a temperature change. The developed parameter, cluster size heterogeneity over time H(t), effectively distinguishes between short percolative and long coarsening timescales.

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Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Dynamical Systems

Background:

  • The role of the percolation critical point in spin domain dynamics post-temperature quench is a recent area of study.
  • Equilibrium cluster size heterogeneity, H_{eq}(T), distinguishes thermal and percolative effects on finite lattices.

Purpose of the Study:

  • To extend the equilibrium measure of cluster size heterogeneity to its temporal evolution, H(t), after a temperature quench.
  • To investigate the ability of H(t) to detect and separate distinct dynamical regimes and timescales.

Main Methods:

  • Studying the temporal evolution of cluster size heterogeneity, H(t), in a system driven out of equilibrium by a sudden temperature quench.
  • Analyzing the relationship between H(t) and the characteristic timescales of spin domain dynamics.

Main Results:

  • The temporal evolution of cluster size heterogeneity, H(t), successfully captures the system's dynamics after a temperature quench.
  • H(t) effectively differentiates between the short percolative timescale and the long coarsening timescale.

Conclusions:

  • The parameter H(t) provides a unified measure to analyze non-equilibrium spin dynamics.
  • This approach offers a powerful tool for understanding the distinct time regimes governed by percolation and coarsening.