A stochastic representation for the Poisson-Vlasov equation
R. Vilela Mendes, Fernanda Cipriano
Abstract
A stochastic representation for the solutions of the Poisson-Vlasov equation is obtained. The representation involves both an exponential and a branching process. The stochastic representation, besides providing an alternative existence proof and an intuitive characterization of the solutions, may also be used to obtain an intrinsic definition of the fluctuations.
Create a lesson
Related papers
Experimental setup for testing nanocalorimeter sensors as a plasma diagnostics tool
Carles Corbella, Feng Yi, Andrei Kolmakov
Gradient-Based Construction of Collisionless Steady-State Guiding-Center Distributions in Tokamaks and Stellarators
Jingyi Yu, Chang Liu
Indirect-Drive Fusion Target Design for Commercial Fusion Energy
C. R. Weber, A. L. Kritcher, S. Bhandarkar et al.
Efficient laser ion acceleration in near-critical density plasmas in the picosecond pulse regime
Joshua Luoma, Andreas Kemp, Andrew Longman et al.
Helicon wave propagation, plasma generation and interaction with low-frequency waves in toroidal magnetic configurations
Simon P. H. Vincent, Mounir Alfazzaa, Patrick Quigley et al.
Kilojoule-scale laser acceleration enabling efficient generation of electron-positron and muon beams
R. Babjak, M. Pouyez, C. Badiali et al.