Correlations, soliton modes, and non-Hermitian linear mode transmutation in the 1D noisy Burgers equation

Details Correlations, soliton modes, and non-Hermitian linear mode transmutation in the 1D noisy Burgers equation Correlations, soliton modes, and non-Hermitian linear mode transmutation in the 1D noisy Burgers equation

2003-03-31

arxiv.org/abs/cond-mat/0303632v1

Physics

Condensed Matter

Statistical Mechanics

50 pages, 15 figures, revtex4 file

Scientific paper

10.1103/PhysRevE.68.026132

Using the previously developed canonical phase space approach applied to the noisy Burgers equation in one dimension, we discuss in detail the growth morphology in terms of nonlinear soliton modes and superimposed linear modes. We moreover analyze the non-Hermitian character of the linear mode spectrum and the associated dynamical pinning and mode transmutation from diffusive to propagating behavior induced by the solitons. We discuss the anomalous diffusion of growth modes, switching and pathways, correlations in the multi-soliton sector, and in detail the correlations and scaling properties in the two-soliton sector.

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