Kinetic Equations I. Information-Theoretical Derivation of a General Equation of Motion for the One-Particle Distribution Function
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چکیده
In order to derive kinetic equations one starts from the Liouville-equation, which can be transformed into the BBGKY-hierarchy by reduction. Breaking off the hierarchy1-3 or evaluation of the hierarchy by B O G O L J U B O V ' S synchronization assumption 4 then leads to closed, explicitly time-independent equations of motion for the one-particle distribution function, which are called kinetic equations (Vlasov-, Boltzmann-, Fokker-Planck-, Lenard-Balescu-equation and so on). However, each of these equations demands particular physical assumptions and suppositions, which allow for systematic corrections only under certain conditions. Only recently
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تاریخ انتشار 2012