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Characterization of Thermal Transport in One-dimensional Solid Materials
05:20

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Published on: January 26, 2014

Heat diffusion in a two-dimensional thermal fuse model.

Glenn Tørå1, Alex Hansen

  • 1Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway. glenn.tora@ntnu.no

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Electrical breakdown in disordered materials was studied using a thermal fuse model. Breakdown time depends on current and system size in limiting cases, but shows complex behavior in intermediate regimes.

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Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Electrical breakdown in disordered materials is a critical phenomenon with implications for material reliability.
  • Understanding the interplay of heating, diffusion, and disorder is key to predicting material failure.

Purpose of the Study:

  • To numerically investigate the electrical breakdown dynamics in disordered materials.
  • To analyze the influence of quenched disorder on breakdown time.
  • To explore the behavior of breakdown time across different time scales and system parameters.

Main Methods:

  • Utilized a two-dimensional thermal fuse model incorporating Joule heating and heat diffusion.
  • Simulated the process where fuses transition from conducting to insulating states upon reaching a temperature threshold.
  • Analyzed the time dynamics governed by competing time scales of heating and diffusion.

Main Results:

  • Identified power-law relationships for breakdown time (t) with applied current (I) and system size (L) in limiting domains: t ~ I^2 and t ~ L^2.
  • Observed that these power laws do not hold in intermediate domains due to competing thermal and diffusion effects.
  • Characterized a subtle, complex behavior in the breakdown dynamics within the intermediate regime.

Conclusions:

  • The electrical breakdown time in disordered materials is strongly dependent on the relative importance of Joule heating and heat diffusion.
  • Simple power-law scaling is insufficient to describe breakdown dynamics across all parameter regimes.
  • Further investigation is needed to fully elucidate the complex behavior in the intermediate domain.