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Distribution of nearest distances between nodal points for the Berry function in two dimensions
Nizhny Novgorod Univ, Dept Radiophys, Nizhnii Novgorod 603600, Russia Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia.
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics .
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology.
2001 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 64, no 3Article in journal (Refereed) Published
Abstract [en]

According to Berry a wave-chaotic state may be viewed as a superposition of monochromatic plane waves with random phases and amplitudes. Here we consider the distribution of nodal points associated with this state. Using the property that both the real and imaginary parts of the wave function are random Gaussian fields we analyze the correlation function and densities of the nodal points. Using two approaches (the Poisson and Bernoulli) we derive the distribution of nearest neighbor separations. Furthermore the distribution functions for nodal points with specific chirality are found. Comparison is made with results from numerical calculations for the Berry wave function.

Place, publisher, year, edition, pages
2001. Vol. 64, no 3
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-49135OAI: oai:DiVA.org:liu-49135DiVA: diva2:270031
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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Berggren, Karl-FredrikSadreev, Almas

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The Institute of TechnologyTheoretical Physics Department of Physics, Chemistry and Biology
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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Engineering and Technology

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