Phase Transition in Modified Newtonian Dynamics (MONDian) Self-Gravitating Systems |
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| Authors: | Mohammad Hossein Zhoolideh Haghighi Sohrab Rahvar Mohammad Reza Rahimi Tabar |
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| Affiliation: | 1.Department of Physics, K.N. Toosi University of Technology, Tehran P.O. Box 15875-4416, Iran;2.School of Astronomy, Institute for Research in Fundamental Sciences (IPM), Tehran 19395-5746, Iran;3.Department of Physics, Sharif University of Technology, Tehran P.O. Box 11365-9161, Iran; (S.R.); (M.R.R.T.);4.Institute of Physics and ForWind, Carl von Ossietzky University of Oldenburg, Carl-von-Ossietzky-Straße 9–11, 26111 Oldenburg, Germany |
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| Abstract: | We study the statistical mechanics of binary systems under the gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems in the microcanonical and canonical ensembles, we show that in the microcanonical systems, unlike the Newtonian gravity, there is a sharp phase transition, with a high-temperature homogeneous phase and a low-temperature clumped binary one. Defining an order parameter in the canonical systems, we find a smoother phase transition and identify the corresponding critical temperature in terms of the physical parameters of the binary system. |
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| Keywords: | Modified Newtonian Dynamics (MOND) phase transition structure formation binary systems |
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