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Crossover behavior in interface depinning.

Y J Chen1, Stefano Zapperi2, James P Sethna1

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Summary
This summary is machine-generated.

This study investigates interface depinning in random media, revealing a crossover between two universality classes. Our findings offer a general strategy for analyzing scaling properties in such complex systems.

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Area of Science:

  • Physics
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Interface depinning in random media is a critical phenomenon with applications in various fields.
  • Understanding the scaling behavior of such systems is crucial for predicting their macroscopic properties.
  • Previous studies have focused on single universality classes, leaving crossover phenomena less explored.

Purpose of the Study:

  • To investigate the crossover scaling behavior of the height-height correlation function in interface depinning systems.
  • To analyze experimental data from fracture experiments and simulated elastic line models.
  • To develop a general strategy for extracting scaling properties in systems exhibiting crossover phenomena.

Main Methods:

  • Analysis of experimental data from a fracture experiment.
  • Simulation of an elastic line model with nonlinear couplings and disorder.
  • Fitting functional forms to universal crossover scaling functions and multiparameter scaling functions.

Main Results:

  • Both experimental and simulated data exhibit a crossover between two distinct universality classes.
  • A universal crossover scaling function was fitted to the experimental data.
  • A multiparameter scaling function was developed to describe the crossover in the simulated model by varying system size and nonlinear term strength.

Conclusions:

  • Interface depinning in random media demonstrates crossover scaling behavior between different universality classes.
  • The developed methods provide a robust strategy for characterizing scaling properties in complex depinning systems.
  • This research advances the understanding of critical phenomena in disordered systems.