Fogedby Hans C
Department of Physics and Astronomy, University of Aarhus, Denmark.
Phys Rev Lett. 2005 May 20;94(19):195702. doi: 10.1103/PhysRevLett.94.195702. Epub 2005 May 16.
A weak-noise scheme is applied to the Kardar-Parisi-Zhang equation for a growing interface in all dimensions. It is shown that the solutions can be interpreted in terms of a growth morphology of a dynamically evolving texture of localized growth modes with superimposed diffusive modes. By applying Derrick's theorem, it is conjectured that the upper critical dimension is four.
一种弱噪声方案被应用于所有维度下描述生长界面的 Kardar-Parisi-Zhang 方程。结果表明，解可以用局部生长模式的动态演化纹理与叠加扩散模式的生长形态来解释。通过应用德里克定理，推测上临界维度为 4。
