Author(s)

Nikolay N. Fimin

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia.

In the paper, author considers a new method for constructing the quasi-equilibrium thermodynamics of a system of gravitationally interacting particles with the modified (by including a cosmological term) Newton potential. Since the dynamics of each pair of particles changes fundamentally with increasing distance between them, the work uses a technique previously used for similar behavior of vortex structures by L. Onsager. In this case, the concept of negative temperature in the system is associated with the definition of the kinetic temperature of A. A. Vlasov. We constructed the approximating expressions for the configuration integral and the full statistical sum of the canonical ensemble in the case of negative temperatures. A methodology for studying quasi-equilibrium manifolds in the system under study is proposed.

Vlasov-Poisson Equation, Cosmological Structures, Canonical Ensemble, Equation of State, Thermodynamic Potentials

Fimin, N.N. (2025) Quasi-Equilibrium Statistical Mechanics of Cosmological Systems in the Presence of Negative Temperatures. Journal of High Energy Physics, Gravitation and Cosmology, 11, 815-826. doi: 10.4236/jhepgc.2025.113052.