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Phys. Rev. Lett. 81, 630–632 (1998)

Macroscopic Equation for the Roughness of Growing Interfaces in Quenched Disordered Media

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L. A. Braunstein* and R. C. Buceta
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, (7600) Mar del Plata, Argentina

Received 11 March 1998; published in the issue dated 20 July 1998

A macroscopic evolution equation for the roughness is presented for a growing interface in quenched disorder media for the Tang and Leschhorn model [Phys. Rev. A 45, R8309 (1992)]. We work only at the critical pressure, because we show that the power-law behavior does not hold apart from this value. Theoretical results are compared with the Monte Carlo simulation. The dynamical exponent is analytically obtained in a simple way.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.630
DOI:
10.1103/PhysRevLett.81.630
PACS:
68.35.Ct, 05.20.-y, 05.40.+j, 81.30.Hd

*Email address: lbrauns@mdp.edu.ar

See Also

Comment: Juan M. López, José J. Ramasco, and Miguel A. Rodríguez, Comment on “Macroscopic Equation for the Roughness of Growing Interfaces in Quenched Disordered Media”, Phys. Rev. Lett. 82, 1337 (1999).

Reply: L. A. Braunstein, R. C. Buceta, and N. Giovambattista, Braunstein, Buceta, and Giovambattista Reply:, Phys. Rev. Lett. 82, 1338 (1999).