Vlasov-Klimontovich Equation in Action

Ł.A. Turski Center for Theoretical Physics, Polish Academy of Science, al. Lotników 32/46, 02-668 Warsaw, Poland

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This paper outlines a variety of possible applications of the Vlasov equation and its generalization, i.e., the Klimontovich equation, in various areas of many-body physics. In particular, these equations are shown to be used in relativistic plasma physics, the theory of semi-classical Bloch electrons, and the metriplectic description of dissipative processes.

DOI:10.12693/APhysPolA.143.183 topics: kinetic theory of relativistic plasma, semi-classical theory of Bloch electrons, metriplectic description of dissipative processes