Interfacial roughening in field theory

Details Interfacial roughening in field theory Interfacial roughening in field theory

2008-01-23

arxiv.org/abs/0801.3598v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 Postscript figure

Scientific paper

10.1007/s10955-008-9572-5

In the rough phase, the width of interfaces separating different phases of statistical systems increases logarithmically with the system size. This phenomenon is commonly described in terms of the capillary wave model, which deals with fluctuating, infinitely thin membranes, requiring ad hoc cut-offs in momentum space. We investigate the interface roughening from first principles in the framework of the Landau-Ginzburg model, that is renormalized field theory, in the one-loop approximation. The interface profile and width are calculated analytically, resulting in finite expressions with definite coefficients. They are valid in the scaling region and depend on the known renormalized coupling constant.

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