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…
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…
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…