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Paper   IPM / Astronomy / 16737
School of Astronomy
  Title:   Phase Transition in Modified Newtonian Dynamics (MONDian) Self-Gravitating Systems
  Author(s): 
1.  Mohammad Hossein . Zhoolideh Haghighi
2.  Sohrab . Rahvar
3.  Mohammad Reza . Rahimi Tabar
  Status:   Published
  Journal: Entropy
  Vol.:  23
  Year:  2021
  Supported by:            ipm IPM
  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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