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Thermodynamics of the self-gravitating ring model: Analyses with new iterative method

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, , Citation Takayuki Tatekawa et al 2006 J. Phys.: Conf. Ser. 31 163 DOI 10.1088/1742-6596/31/1/034

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1 Department of Physics, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo, 169-8555, Japan

2 Advanced Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo, 169-8555, Japan

3 Department of Physics, Ochanomizu University, 2-1-1 Otsuka, Bunkyo, 112-8610, Japan

4 Institut Non Linéaire de Nice (INLN) Sophia Antipolis, UMR 6618 CNRS 1361, Allée des Lucioles 06560 Valbonne, France

5 Laboratoire de Physique, UMR-CNRS 5672, ENS Lyon, 46 Allée d'Italie, 69364 Lyon cédex 07, France

6 Dipartimento di Energetica, ''S. Stecco'' and CSDC, Università di Firenze, and INFN, via S. Marta, 3, 50139 Firenze, Italy

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1742-6596/31/1/163

Abstract

In order to obtain the stable stationary mass distribution, we apply a new iterative method, inspired by a previous one used in 2D turbulence, which ensures entropy increase and, hence, convergence towards an equilibrium state. Applying new iterative method, we analyze the phase transition and the difference between microcanonical and canonical ensemble in an intermediate energy region.

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10.1088/1742-6596/31/1/034