A low-rank projector-splitting integrator for the Vlasov--Poisson equation
L Einkemmer, C Lubich - SIAM Journal on Scientific Computing, 2018 - SIAM
Many problems encountered in plasma physics require a description by kinetic equations,
which are posed in an up to six-dimensional phase space. A direct discretization of this …
which are posed in an up to six-dimensional phase space. A direct discretization of this …
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
We propose a new pressure-based structure-preserving (SP) and quasi asymptotic
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …
Structure-preserving geometric particle-in-cell methods for Vlasov-Maxwell systems
Recent development of structure-preserving geometric particle-in-cell (PIC) algorithms for
Vlasov-Maxwell systems is summarized. With the arrival of 100 petaflop and exaflop …
Vlasov-Maxwell systems is summarized. With the arrival of 100 petaflop and exaflop …
Symplectic foliation structures of non-equilibrium thermodynamics as dissipation model: application to metriplectic nonlinear lindblad quantum master equation
F Barbaresco - Entropy, 2022 - mdpi.com
The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for
a symplectic manifold where a Lie group has a Hamiltonian action. A novel symplectic …
a symplectic manifold where a Lie group has a Hamiltonian action. A novel symplectic …
[HTML][HTML] Symplectic Gaussian process regression of maps in Hamiltonian systems
We present an approach to construct structure-preserving emulators for Hamiltonian flow
maps and Poincaré maps based directly on orbit data. Intended applications are in …
maps and Poincaré maps based directly on orbit data. Intended applications are in …
[HTML][HTML] Evolution of hybrid quantum–classical wavefunctions
F Gay-Balmaz, C Tronci - Physica D: Nonlinear Phenomena, 2022 - Elsevier
A gauge-invariant wave equation for the dynamics of hybrid quantum–classical systems is
formulated by combining the variational setting of Lagrangian paths in continuum theories …
formulated by combining the variational setting of Lagrangian paths in continuum theories …
MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell
F Holderied, S Possanner, X Wang - Journal of Computational Physics, 2021 - Elsevier
Abstract We present a STRUcture-Preserving HYbrid code-STRUPHY-for the simulation of
magneto-hydrodynamic (MHD) waves interacting with a population of energetic particles far …
magneto-hydrodynamic (MHD) waves interacting with a population of energetic particles far …
Fast neural Poincaré maps for toroidal magnetic fields
Poincaré maps for toroidal magnetic fields are routinely employed to study gross
confinement properties in devices built to contain hot plasmas. In most practical applications …
confinement properties in devices built to contain hot plasmas. In most practical applications …
Hamiltonian closures in fluid models for plasmas
E Tassi - The European Physical Journal D, 2017 - Springer
This article reviews recent activity on the Hamiltonian formulation of fluid models for plasmas
in the non-dissipative limit, with emphasis on the relations between the fluid closures …
in the non-dissipative limit, with emphasis on the relations between the fluid closures …
Inclusive curvaturelike framework for describing dissipation: Metriplectic 4-bracket dynamics
PJ Morrison, MH Updike - Physical Review E, 2024 - APS
An inclusive framework for joined Hamiltonian and dissipative dynamical systems that are
thermodynamically consistent, ie, preserve energy and produce entropy, is given. The …
thermodynamically consistent, ie, preserve energy and produce entropy, is given. The …