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Transport in a high-dimensional mean-field Hamiltonian model Calleja, Renato
Description
I will present a Hamiltonian mean-field model. The model provides a simplified description of transport in marginally stable systems including vorticity mixing in strong shear flow and electron dynamics in plasmas. Self-consistency is incorporated through a mean-field that couples all the degrees of freedom. The model is formulated as a large set of N coupled standard-like twist maps. Invariant tori and their breakup play a central role in the study of global transport in these self-consistent map examples. I will present an algorithm to compute, continue and approximate the breakdown of analyticity of invariant tori in a simplified version of a self-consistent model. This is joint work with Diego del Castillo, David Martinez and Arturo Olvera.
Item Metadata
Title |
Transport in a high-dimensional mean-field Hamiltonian model
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-22T17:35
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Description |
I will present a Hamiltonian mean-field model. The model provides a simplified description of transport in marginally stable systems including vorticity mixing in strong shear flow and electron dynamics in plasmas. Self-consistency is incorporated through a mean-field that couples all the degrees of freedom. The model is formulated as a large set of N coupled standard-like twist maps. Invariant tori and their breakup play a central role in the study of global transport in these self-consistent map examples. I will present an algorithm to compute, continue and approximate the breakdown of analyticity of invariant tori in a simplified version of a self-consistent model. This is joint work with Diego del Castillo, David Martinez and Arturo Olvera.
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Extent |
35 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: IIMAS-UNAM
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Series | |
Date Available |
2017-01-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340425
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International