Abstract
We define growth models through a stochastic bulk dynamics. In this way shadowing effects and interfacial overhangs are naturally taken into account. The model is initially defined by means of a master equation. From it, we derive its corresponding Langevin mesoscopic description. In this way, the influence of the microscopic dynamics into the Langevin equation is shown explicitly. Finally, we relate our density equations with the better known interfacial equations. Several examples are commented and in particular, we show the way to obtain the Euclidean-invariant Kardar-Parisi-Zhang equation with a particular election of the bulk dynamics.
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References
López C. and Garrido P.L. (1997): submitted to Phys. Rev. E.
Marsili M., Maritan A., Toigo F. and Banavar J.R. (1996): to appear in Rev. Mod. Phys. (cond-mat/9606026).
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© 1997 Springer-Verlag Berlin Heidelberg
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López, C., Garrido, P.L. (1997). Description of Growth Models with Density Equations. In: Garrido, P.L., Marro, J. (eds) Fourth Granada Lectures in Computational Physics. Lecture Notes in Physics, vol 493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-14148-9_12
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DOI: https://doi.org/10.1007/978-3-662-14148-9_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-14150-2
Online ISBN: 978-3-662-14148-9
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