Zobrazeno 1 - 10
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pro vyhledávání: '"Burby, Joshua"'
We propose a novel reformulation of the Vlasov-Amp{\`e}re equations for plasmas. This reformulation exposes discrete symmetries to achieve simultaneous conservation of mass, momentum, and energy; preservation of Gauss's law involution; positivity of
Externí odkaz:
http://arxiv.org/abs/2410.20106
We provide a geometric perspective on the kinetic interaction of matter and radiation, based on a metriplectic approach. We discuss the interaction of kinetic theories via dissipative brackets, with our fundamental example being the coupling of matte
Externí odkaz:
http://arxiv.org/abs/2409.11495
Autor:
Kevrekidis, George A., Serino, Daniel A., Kaltenborn, Alexander, Gammel, J. Tinka, Burby, Joshua W., Klasky, Marc L.
Equations of State model relations between thermodynamic variables and are ubiquitous in scientific modelling, appearing in modern day applications ranging from Astrophysics to Climate Science. The three desired properties of a general Equation of St
Externí odkaz:
http://arxiv.org/abs/2406.19957
Singularly perturbed dynamical systems, commonly known as fast-slow systems, play a crucial role in various applications such as plasma physics. They are closely related to reduced order modeling, closures, and structure-preserving numerical algorith
Externí odkaz:
http://arxiv.org/abs/2402.15839
Autor:
Updike, Michael, Burby, Joshua
We present a Hamiltonian method of constructing BBGKY-like hierarchies for quantum field theories. With suitable choices, our method creates a hierarchical system of evolution equations for the k-th order reduced density matrices. These equations can
Externí odkaz:
http://arxiv.org/abs/2310.10940
The Weak-form Sparse Identification of Nonlinear Dynamics algorithm (WSINDy) has been demonstrated to offer coarse-graining capabilities in the context of interacting particle systems (https://doi.org/10.1016/j.physd.2022.133406). In this work we ext
Externí odkaz:
http://arxiv.org/abs/2310.05879
Publikováno v:
Plasma Physics and Controlled Fusion 65(4): 045004 (2022)
A simple property of magnetic fields that minimizes bouncing to passing type transitions of guiding center orbits is defined and discussed. This property, called isoprominence, is explored through the framework of a near-axis expansion. It is shown t
Externí odkaz:
http://arxiv.org/abs/2210.10218
A continuous-time dynamical system with parameter $\varepsilon$ is nearly-periodic if all its trajectories are periodic with nowhere-vanishing angular frequency as $\varepsilon$ approaches 0. Nearly-periodic maps are discrete-time analogues of nearly
Externí odkaz:
http://arxiv.org/abs/2210.05087
Autor:
Linot, Alec J., Burby, Joshua W., Tang, Qi, Balaprakash, Prasanna, Graham, Michael D., Maulik, Romit
In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers. This problem becomes especially challenging when the system of interest exhibits shocks or chaotic dyn
Externí odkaz:
http://arxiv.org/abs/2203.15706
This letter reports on a metriplectic formulation of collisional, nonlinear full-$f$ electromagnetic gyrokinetic theory compliant with energy conservation and monotonic entropy production. In an axisymmetric background magnetic field, the toroidal an
Externí odkaz:
http://arxiv.org/abs/2203.08464