Finite-size correction for the diffusion front roughness exponent

Ezequiel V Albano and Verónica C Chappa

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 18-22

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.

Keywords: Diffusion fronts; Brownian motion; Random systems; Interfaces (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:1:p:18-22

DOI: 10.1016/S0378-4371(03)00431-X

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