Abstract
Problems related to the transport processes in plasmas are often expressed as stochastic equations. We develop a formalism where the averages over statistical ensembles are obtained as functional integrations with appropriate measures. For a broad class of noise functions the calculation can be carried out analytically. The method has been successfully applied in the study of the particle motion in stochastic magnetic field and of the magnetic field line diffusion. We have obtained explicit results for the diffusion of particles in the presence of random trapping and for continuum time random walks with Levy distribution.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Spineanu, F., Vlad, M. (1997). Application of the Functional Method to the Study of the Stochastic Processes in Plasmas. In: DeWitt-Morette, C., Cartier, P., Folacci, A. (eds) Functional Integration. NATO ASI Series, vol 361. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0319-8_31
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0319-8_31
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0321-1
Online ISBN: 978-1-4899-0319-8
eBook Packages: Springer Book Archive