Physics-Consistent Methods in Theory, Computation and Inference of Plasma Particle Orbits and Classical Fields
Dr. Christopher Albert
Insitute of Theoretical and Computational Physics, Graz University of Technology
16:15 - 17:15 Tuesday 19 December 2023 TUG This talk is on the interplay of theoretical physics, computation and probabilistic inference. Theoretical physics seeks to understand physics phenomena by formulating laws in terms of mathematical objects. Computational physics makes numerical predictions based on discretized forms of such laws. Probabilistic inference allows to take into account both, observed data, and physics prior information. Physics-consistency will be emphasized: A discretized system should behave like an actual physical system following the stated continuous laws.
Theory and computation is not decoupled from practical reality. The presented work derives directly from requirements in fusion plasma physics, electromagnetics and acoustics. The methodological developments are symplectic integrators in non-canonical coordinates [1,2], structure-preserving finite element methods for magnetic fields in symmetric domains [3], and Gaussian process regression for physical fields [4] and orbits [5]. It is concluded how these developments can be useful conceptually, in general application, and for their respective use case.
[1] C.G. Albert, et al. J. Comput. Phys. 403 109065 (2020)
[2] M. Eder, et al. Phys. Plasmas 27 122508 (2020)
[3] C.G. Albert, et al. Comp. Phys. Comm. 277 108401 (2022)
[4] C.G. Albert and K. Rath Entropy 22 152 (2020)
[5] K. Rath, et al. Chaos 31 053121 (2021)
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