Weak Turbulence and the Dynamics of Topological Defects
Low dimensional chaos appears in physical systems whose spatial extent is small. In large aspect-ratio systems chaos sets in concurrently with the loss of spatial coherencel, leading to a state known as weak turbulence, whose description with low dimensional dynamical systems theory seems at present impossible. Typically, the spatial correlations are destroyed by the spontaneous generation of defects in the macroscopic patterns, and the dynamics of these defects is responsible for much of the chaotic motion in such systems.
KeywordsGauge Field Nematic Liquid Crystal Chaotic Motion Topological Defect Weizmann Institute
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