Kinetics of collisionless continuous medium for non-maxwellian initial density

Being periodically under gravitational force field, collisionless ideal gas in a rectangular parallelepiped performs the non-equilibrium irreversible Poincare cycles. We prove, that for any initial probability distribution density this system irreversibly tends to the Maxwell distribution on the velocities, and uniform distribution on the coordinates. © 2018 IEEE.

Authors
Salnikova T. 1 , Salnikov V.2
Conference proceedings
Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018
Publisher
Institute of Electrical and Electronics Engineers Inc.
Language
English
Pages
1-4
Status
Published
DOI
10.1109/STAB.2018.8408394
Year
2018
Organizations
  • 1 Moscow State Lomonosov University, Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
  • 2 NAXYS, University of Namur, Namur, Belgium
Keywords
Nonlinear control systems; Probability distributions; Continuous medium; Gravitational forces; Initial density; Maxwell distributions; Non equilibrium; Probability distribution densities; Rectangular parallelepipeds; Uniform distribution; Control system stability
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