 Growing interfaces in quenched disordered mediaL.a Braunstein, R.c Buceta and A Dı́az-Sánchez Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 334-338 Abstract: We present the microscopic equation of growing interface with quenched noise for the Tang and Leschhorn model (Phys. Rev. A 45(1992) R8309). The evolution equations for the mean height and the roughness are reached in a simple way. Also, an equation for the interface activity density (i.e. interface density of free sites) as function of time is obtained. The microscopic equation allows us to express these equations in two contributions: the diffusion and the substratum one. All the equation shows the strong interplay between both contributions in the dynamics. A macroscopic evolution equation for the roughness is presented for this model for the critical pressure p=0.461. The dynamical exponent β=0.629 is analytically obtained in a simple way. Theoretical results are in excellent agreement with the Monte Carlo simulation. Keywords: Growth dynamics; Disordered media; Microscopic equations (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:334-338 DOI: 10.1016/S0378-4371(98)00611-6 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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