Projects per year
Abstract
In purely non-dissipative systems, Lagrangian and Hamiltonian reduction have been proven to be powerful tools for deriving physical models with exact conservation laws. We have discovered a hint that an analogous reduction method exists also for dissipative systems that respect the first and second laws of thermodynamics. In this paper, we show that modern electrostatic gyrokinetics, a reduced plasma turbulence model, exhibits a serendipitous metriplectic structure. Metriplectic dynamics, in general, is a well developed formalism for extending the concept of Poisson brackets to dissipative systems. Better yet, our discovery enables an intuitive particle-in-cell discretization of the collision operator that also satisfies the first and second laws of thermodynamics. These results suggest that collisional gyrokinetics, and other dissipative physical models that obey the laws of thermodynamics, could be obtained using an as-yet undiscovered metriplectic reduction theory and that numerical methods could benefit from such theory significantly. Once uncovered, the theory would generalize Lagrangian and Hamiltonian reduction in a substantial manner.
Original language | English |
---|---|
Article number | 082307 |
Number of pages | 6 |
Journal | Physics of Plasmas |
Volume | 27 |
Issue number | 8 |
DOIs | |
Publication status | Published - 1 Aug 2020 |
MoE publication type | A1 Journal article-refereed |
Keywords
- BRACKET FORMULATION
Fingerprint
Dive into the research topics of 'Collisional gyrokinetics teases the existence of metriplectic reduction'. Together they form a unique fingerprint.Projects
- 1 Finished
-
-: Structure-preserving Algorithms for Kinetic Simulations of Plasmas
Hirvijoki, E. (Principal investigator)
01/09/2018 → 31/08/2023
Project: Academy of Finland: Other research funding