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Effect of Long-Range Interactions in the Conserved Kardar-Parisi-Zhang Equation

Youngkyun Jung·In-mook Kim·Jin Min Kim
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Abstract

The conserved Kardar-Parisi-Zhang equation in the presence of long-range nonlinear interactions is studied by the dynamic renormalization group method. The long-range effect produces new fixed points with continuously varying exponents and gives distinct phase transitions, depending on both the long-range interaction strength and the substrate dimension $d$. The long-range interaction makes the surface width less rough than that of the short-range interaction. In particular, the surface becomes a smooth one with a negative roughness exponent at the physical dimension d=2.

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Youngkyun Jung, In-mook Kim, Jin Min Kim. 1998-06-02. Effect of Long-Range Interactions in the Conserved Kardar-Parisi-Zhang Equation. https://doi.org/10.1103/physreve.58.5467

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