Dispersion chain of Vlasov equations
arXiv:2111.09952 · doi:10.1088/1742-5468/ac4515
Abstract
On the basis of the Vlasov chain of equations, a new infinite dispersion chain of equations is obtained for the distribution functions of mixed higher order kinematical values. In contrast to the Vlasov chain, the dispersion chain contains distribution functions with an arbitrary set of kinematical values and has a tensor form of writing. For the dispersion chain, new equations for mixed Boltzmann functions and the corresponding chain of conservation laws for fluid dynamics are obtained. The probability is proved to be a constant value for a particle to belong the region where the quasi-probability density is negative (Wigner function).
arXiv comment42 pages
References in corpus (5)
- A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
- The Vlasov-Poisson system with radiation damping
- The properties of the first equation of the Vlasov chain of equations
- Simplified models of electromagnetic and gravitational radiation damping
- The new modified Vlasov equation for the systems with dissipative processes