Microscopic Equation for Growing Interfaces in Quenched Disordered Media
نویسنده
چکیده
We present the microscopic equation of growing interface with quenched noise for the Tang and Leschhorn model [L. H. Tang and H. Leschhorn, Phys. Rev. A 45, R8309 (1992)]. The evolution equation for the height, the mean height, and the roughness are reached in a simple way. An equation for the interface activity density (or free sites density) as function of time is obtained. The microscopic equation allows us to express these equations into two contributions: the diffusion and the substratum contributions. All these equations shows the strong interplay between the diffusion and the substratum contribution in the dynamics. PACS numbers: 47.55.Mh, 68.35.Fx Typeset using REVTEX 1
منابع مشابه
Theoretical continuous equation derived from the microscopic dynamics for growing interfaces in quenched media
We present an analytical continuous equation for the Tang and Leschhorn model [Phys. Rev. A 45, R8309 (1992)] derived from their microscopic rules using a regularization procedure. As well in this approach, the nonlinear term (nablah)(2) arises naturally from the microscopic dynamics even if the continuous equation is not the Kardar-Parisi-Zhang equation [Phys. Rev. Lett. 56, 889 (1986)] with q...
متن کاملGrowing interfaces in quenched disordered media
We present the microscopic equation of growing interface with quenched noise for the Tang and Leschhorn model [Phys. Rev. A 45, R8309 (1992)]. The evolution equations for the mean heigth 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 ...
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