1. Random wavefunctions and percolation
- Author
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E. Bogomolny, C. Schmit, Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), and Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)
- Subjects
Statistics and Probability ,Physics ,Non critical ,Conjecture ,010102 general mathematics ,FOS: Physical sciences ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Renormalization group ,Nonlinear Sciences - Chaotic Dynamics ,01 natural sciences ,Random waves ,Percolation theory ,Modeling and Simulation ,Percolation ,0103 physical sciences ,Statistical physics ,Chaotic Dynamics (nlin.CD) ,0101 mathematics ,010306 general physics ,Wave function ,Mathematical Physics - Abstract
Recently it was conjectured that nodal domains of random wave functions are adequately described by critical percolation theory. In this paper we strengthen this conjecture in two respects. First, we show that, though wave function correlations decay slowly, a careful use of Harris' criterion confirms that these correlations are unessential and nodal domains of random wave functions belong to the same universality class as non critical percolation. Second, we argue that level domains of random wave functions are described by the non-critical percolation model., Comment: 13 pages more...
- Published
- 2007
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