Abstract
The short-time evolution of a growing interface is studied analytically and numerically for the Kadar-Pari8i-Zhang (KPZ) universality class. The scaling behavior of response and correlation functions is reminiscent of the “initial slip” behavior found in purely dissipative critical relaxation (model A). Unlike model A the initial slip exponent for the KPZ equation can be expressed by the dynamical exponent z. In 2+1 dimensions z is estimated from the short-time evolution of the correlation function for ballistic deposition and for the RSOS model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.-L. Barabasi and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University press, New York, 1995) and references therein.
S. Das Sarma, C.J. Lanczycki, R. Kotlyar, and S.V. Ghaisas, Phys. Rev. E 53, 359 (1996) and references therein.
J. Krug and H. Spohn, Phys. Rev. A 38, 4271 (1988);
J. Krug, J. Phys A 22, L769 (1989);
J. Krug, M. Plischke, and M. Siegert, Phys. Rev. Lett. 70, 3271 (1993).
J. Krug, Phys. Rev. Lett. 72, 2907 (1994).
S. Pal and D.P. Landau, Phys. Rev. B 49, 10597 (1994) and references therein.
J. Krim, I. Heyvaert, C. Van Haesendock, and Y. Bruynseraede, Phys. Rev. Lett. 70, 57 (1993).
M. Kadar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett 56, 889 (1986).
E. Frey and U.C. Täuber, Phys. Rev. E 50, 1024 (1994).
U. Deker and F. Haake, Phys. Rev A 11, 2043 (1975).
K. Sneppen, J. Krug, M.H. Jensen, C. Jayaprakash, and T. Bohr, Phys. Rev. A 46, R7351 (1992).
H.K. Janssen, B. Schaub, and B. Schmittmann, Z. Phys. B 73, 539 (1989).
P.C. Martin, E.D. Siggia, and H.H. Rose, Phys. Rev. A 8, 423 (1973).
P.C. Hohenberg and B.I. Halperin, Rev. Mod. Phys. 49, 435 (1977).
M. Lässig, Nucl. Phys. B 448, 559, (1995).
M. Krech, Phys. Rev. E 55, 668 (1997).
J. Krug, Phys. Rev. A 44, R801 (1991).
J. M. Kim and J. M. Kosterlitz, Phys. Rev. Lett. 62, 2289 (1989).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Krech, M. (1998). Short-Time-Scaling Behavior of Growing Interfaces. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics X. Springer Proceedings in Physics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46851-3_29
Download citation
DOI: https://doi.org/10.1007/978-3-642-46851-3_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-46853-7
Online ISBN: 978-3-642-46851-3
eBook Packages: Springer Book Archive