On the Geometric Principles of Surface Growth

Details On the Geometric Principles of Surface Growth On the Geometric Principles of Surface Growth

2008-11-18

arxiv.org/abs/0811.2890v1

Phys. Rev. Lett. 101, 196102 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.101.196102

We introduce a new equation describing epitaxial growth processes. This equation is derived from a simple variational geometric principle and it has a straightforward interpretation in terms of continuum and microscopic physics. It is also able to reproduce the critical behavior already observed, mound formation and mass conservation, but however does not fit a divergence form as the most commonly spread models of conserved surface growth. This formulation allows us to connect the results of the dynamic renormalization group analysis with intuitive geometric principles, whose generic character may well allow them to describe surface growth and other phenomena in different areas of physics.

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