6 papers
A conservative adaptive rank method for the Wigner-Poisson system
Andrew Christlieb, Sining Gong, F. Alejandro Padilla-Gomez +1
We propose a conservative adaptive rank method for the 1D1V Wigner-Poisson system. The method targets a central challenge in deterministic quantum kinetic simulations: reducing the…
A Structure-preserving Adaptive-Rank Approach to the High-Dimensional Wigner-Poisson System
Andrew J. Christlieb, Sining Gong, Jing-Mei Qiu +1
The Wigner-Poisson system is a deterministic phase-space model for quantum kinetic electron dynamics, but high-dimensional simulations are limited by the full 3D3V phase space and…
An Energy-Conserving Unstaggered Electromagnetic-Potential Particle-in-Cell Method, Part I: Non-relativistic Generalized-Momentum Formulation
Andrew J. Christlieb, Luis Chacon, Sining Gong
We develop an unstaggered, potential-based particle-in-cell method for the nonrelativistic Vlasov-Maxwell system in the Lorenz gauge. The field update is written as a Crank-Nicolso…
Boundary corrections for kernel approximation to differential operators
Andrew Christlieb, Sining Gong, Hyoseon Yang
Kernel-based approach to operator approximation for partial differential equations has been shown to be unconditionally stable for linear PDEs and numerically exhibit unconditional…
Quantum Kinetic Modeling of KEEN waves in a Warm-Dense Regime
F. Alejandro Padilla-Gomez, Sining Gong, Michael S. Murillo +2
We report a fully kinetic, quantum study of Kinetic Electrostatic Electron Nonlinear (KEEN) waves, showing that quantum diffraction systematically erodes the classical trapping mec…
A Sampling-Based Adaptive Rank Approach to the Wigner-Poisson System
Andrew Christlieb, Sining Gong, Jing-Mei Qiu +1
We develop a mass-conserving, adaptive-rank solver for the 1D1V Wigner-Poisson system. Our work is motivated by applications to the study of the stopping power of particles at…