Andre C Barato and Mário J de Oliveira 2007 J. Phys. A: Math. Theor. 40 8205 doi:10.1088/1751-8113/40/29/001
Andre C Barato and Mário J de Oliveira
Show affiliationsWe study models for surface growth with a wetting and a roughening transition using simple and pair mean-field approximations. The simple mean-field equations are solved exactly and they predict the roughening transition and the correct growth exponents in a region of the phase diagram. The pair mean-field equations, which are solved numerically, show a better accordance with numerical simulation and correctly predict a growing interface with a constant velocity at the moving phase. Also, when detailed balance is fulfilled, the pair mean field becomes the exact solution of the model.
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
Issue 29 (20 July 2007)
Received 2 March 2007, in final form 25 May 2007
Published 3 July 2007
Andre C Barato and Mário J de Oliveira 2007 J. Phys. A: Math. Theor. 40 8205
Roger J Narayan et al 2008 Biomed. Mater. 3 034107
Giuseppe Zaccai 2003 J. Phys.: Condens. Matter 15 S1673
Sunil K Sinha 2001 J. Phys.: Condens. Matter 13 7511
Reese Salmon et al 2002 Eur. J. Phys. 23 249
Avner Peleg and Yeojin Chung 2003 J. Phys. A: Math. Gen. 36 10039
Gregory S Mitchell and Simon R Cherry 2009 Phys. Med. Biol. 54 1291
Sung-Joon Ye et al 2004 Phys. Med. Biol. 49 387
Tom Timusk and Bryan Statt 1999 Rep. Prog. Phys. 62 61
Yeojin Chung and Avner Peleg 2005 Nonlinearity 18 1555