Prog. Theor. Phys. Vol. 74 No. 5 (1985) pp. 1155-1157

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Letters

Dynamics of Noninteger Derivative Models

Akira Onuki

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received July 18, 1985)

Abstract:

A dynanmic model is generalized by replacing ∇² by -(-∇²)^a where a is in the region 0≤a≤1. The interface velocity is determined by the local curvature for a<1/2, whereas its equation is nonlocal for a>1/2. The Gibbs-Thomson relation holds for a>1/2. If 0<ε≡2a-1≪1, we can use an ε-expansion approximation.

URL : http://ptp.ipap.jp/link?PTP/74/1155/
DOI : 10.1143/PTP.74.1155

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Citing Article(s) :

Journal of the Physical Society of Japan 59 (1990) pp. 3012-3013 :
Structure Function at Small Wave Numbers in Ordering Dynamics

Hiroshi Furukawa
Journal of the Physical Society of Japan 59 (1990) pp. 3542-3552 :
Spinodal Decomposition in a Long-Range Exchange Model

Hisao Hayakawa and Tsuyoshi Koga