Kinetic theory of collisionless relaxation for systems with long-range interactions
Physica A: Statistical Mechanics and its Applications, ISSN: 0378-4371, Vol: 606, Page: 128089
2022
- 15Citations
- 3Captures
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Article Description
We develop the kinetic theory of collisionless relaxation for systems with long-range interactions in relation to the statistical theory of Lynden-Bell. We treat the multi-level case. We make the connection between the kinetic equation obtained from the quasilinear theory of the Vlasov equation and the relaxation equation obtained from a maximum entropy production principle. We propose a method to close the infinite hierarchy of kinetic equations for the phase level moments and obtain a kinetic equation for the coarse-grained distribution function in the form of a generalized Landau, Lenard–Balescu or Kramers equation associated with a generalized form of entropy (Chavanis, 2004). This allows us to go beyond the two-level case associated with a Fermi–Dirac-type entropy. We discuss the numerous analogies with two-dimensional turbulence. We also mention possible applications of the present formalism to fermionic and bosonic dark matter halos.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0378437122006756; http://dx.doi.org/10.1016/j.physa.2022.128089; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85138082932&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0378437122006756; https://dx.doi.org/10.1016/j.physa.2022.128089
Elsevier BV
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