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Finite-size correction for the diffusion front roughness exponent

Author

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  • Albano, Ezequiel V
  • Chappa, Verónica C

Abstract

The width of the diffusion front originated by the random motion of particles under a concentration gradient is evaluated by means of Monte Carlo simulations. It is found that the roughness exponent of the front exhibits a systematic dependence on the sample size that can be rationalized in terms of a finite-size correction. Extrapolation to the thermodynamic limit allows us to evaluate the actual roughness exponent in excellent agreement with theoretical predictions linking the diffusion system to the percolation problem.

Suggested Citation

  • Albano, Ezequiel V & Chappa, Verónica C, 2003. "Finite-size correction for the diffusion front roughness exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 18-22.
    • Handle: RePEc:eee:phsmap:v:327:y:2003:i:1:p:18-22
    DOI: 10.1016/S0378-4371(03)00431-X
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