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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/53318
Title: Bulk dynamics for interfacial growth models
Authors: López, Cristóbal ; Santos, Fernando; Garrido, P. L.
Issue Date: 2000
Publisher: American Physical Society
Citation: Physical Review E- Statistical, Nonlinear, and Soft Matter Physics 62: 4747-4751 (2000)
Abstract: We study the influence of the bulk dynamics of a growing cluster of particles on the properties of its interface. First, we define a general bulk growth model by means of a continuum Master equation for the evolution of the bulk density field. This general model just considers an arbitrary addition of particles (though it can be easily generalized to consider subtraction) with no other physical restriction. The corresponding Langevin equation for this bulk density field is derived where the influence of the bulk dynamics is explicitly shown. Finally, when a well-defined interface is assumed for the growing cluster, the Langevin equation for the height field of this interface for some particular bulk dynamics is written. In particular, we obtain the celebrated Kardar-Parisi-Zhang equation. A Monte Carlo simulation illustrates the theoretical results. ©2000 The American Physical Society.
URI: http://hdl.handle.net/10261/53318
DOI: 10.1103/PhysRevE.62.4747
Identifiers: doi: 10.1103/PhysRevE.62.4747
issn: 1063-651X
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