Journal
PHYSICS LETTERS A
Volume 375, Issue 6, Pages 984-989Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.01.004
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Funding
- Russian Federal Nuclear Energy Agency
- Russian Federal Agency for Science and Innovations [02.740.11.5029]
- Russian President's Grant of Support for the Scientific Schools [NSh-3035.2008.2]
- RFBR [07-02-00645]
- Moebius Contest Foundation for Young Scientists
- [09-02-90493-Ukr]
- [09-01-92440-CE]
- [09-02-91005-ANF]
- [09-02-93105-CNRS]
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Using the replica method, we calculate the mean Coulomb energy of two-dimensional (2d) Dyson gas (in quadratic potential and for particular value of Coulomb charge beta = 1). We find a recursive relation on mean energy and obtain its finite N solution in closed form in terms of the hypergeometric function F-3(2). Using this exact solution, we derive the large-N asymptotics (thermodynamical limit) of mean energy. (C) 2011 Elsevier B.V. All rights reserved.
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