Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collisional Gyrokinetics Teases the Existence of Metriplectic Reduction   In purely non-dissipative systems, Lagrangian and Hamiltonian reduction have
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.

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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat