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Phase transition in modified newtonian dynamics (Mondian) self-gravitating systems

Zhoolideh Haghighi, M. H ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.3390/e23091158
  3. Publisher: MDPI , 2021
  4. Abstract:
  5. 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. © 2021 by the authors. Licensee MDPI, Basel, Switzerland
  6. Keywords:
  7. Binary systems ; Modified Newtonian Dynamics (MOND) ; Phase transition ; Structure formation
  8. Source: Entropy ; Volume 23, Issue 9 , 2021 ; 10994300 (ISSN)
  9. URL: https://www.mdpi.com/1099-4300/23/9/1158