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Evolution of speckle during spinodal decomposition.

G Brown1, P A Rikvold, M Sutton

  • 1Supercomputer Computations Research Institute, Center for Materials Research and Technology, and Department of Physics, Florida State University, Tallahassee, Florida 32306-4130, USA.

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

This study investigates time-dependent speckle patterns from materials undergoing spinodal decomposition. The research reveals scaling functions for intensity covariance and order-parameter correlations, providing insights into dynamic properties.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Spinodal decomposition is a phase transition process in binary systems.
  • Speckle patterns arise from coherent radiation scattering off heterogeneous materials.
  • Understanding time-dependent properties is crucial for materials characterization.

Purpose of the Study:

  • To investigate the time-dependent properties of speckle intensity patterns during spinodal decomposition.
  • To analyze the scaling behavior of intensity covariance and order-parameter correlations.
  • To compare numerical results with theoretical predictions and explore universality classes.

Main Methods:

  • Numerical integration of the Cahn-Hilliard-Cook equation.
  • Analysis of time-dependent speckle intensity patterns.

Related Experiment Videos

  • Calculation of two-time intensity covariance and order-parameter correlation functions.

    • Main Results:

    • Speckle intensities exhibit nonstationary, persistent time series.
    • Two-time intensity covariance collapses onto a scaling function, dependent on time ratios.
    • The speckle-intensity covariance equals the square of the two-time structure factor.
    • Order-parameter correlation functions show scaling behavior even at large distances.
    • An asymptotic power-law exponent for autocorrelation violates a conjectured upper bound.

    Conclusions:

    • The study provides a comprehensive analysis of dynamic properties in spinodal decomposition.
    • Scaling functions offer a universal description applicable to various systems.
    • The findings challenge existing theoretical bounds and offer new avenues for research.