87 citations · 520 across the 17 of their papers we have counts for
18 papers
Error and long-term analysis of two-step symmetric methods for relativistic charged-particle dynamics
Ting Li, Bin Wang, Ruili Zhang
In this work, we consider the error estimates and the long-time conservation or near-conservation of geometric structures, including energy, mass shell and phase-space volume, for…
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
Luigi Brugnano, Felice Iavernaro, Ruili Zhang
Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics. In particular, accuracy and conservation of energy are important features for correctly perform…
PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
Ruili Zhang, Hong Qin, Jianyuan Xiao
We prove that in finite dimensions, a Parity-Time (PT)-symmetric Hamiltonian is necessarily pseudo-Hermitian regardless of whether it is diagonalizable or not. This result is diffe…
Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
Hong Qin, Ruili Zhang, Alexander S. Glasser +1
Parity-Time (PT)-symmetry is being actively investigated as a fundamental property of observables in quantum physics. We show that the governing equations of the classical two-flui…
What breaks parity-time-symmetry? -- pseudo-Hermiticity and resonance between positive- and negative-action modes
Ruili Zhang, Hong Qin, Jianyuan Xiao +1
It is generally believed that Parity-Time (PT)-symmetry breaking occurs when eigenvalues or both eigenvalues and eigenvectors coincide. However, we show that this well-accepted pic…
On the physical mechanism of three-wave instabilities -- resonance between positive- and negative-action modes
Ruili Zhang, Hong Qin, Yuan Shi +2
Three-wave instability is a fundamental process that has important applications in many branches of physics. It is widely accepted that the resonant condition $ω_{z}\approxω_{x}+ω_…
A lattice Maxwell system with discrete space-time symmetry and local energy-momentum conservation
Jianyuan Xiao, Hong Qin, Yuan Shi +2
A lattice Maxwell system is developed with gauge-symmetry, symplectic structure and discrete space-time symmetry. Noether's theorem for Lie group symmetries is generalized to discr…
Local Energy Conservation Law for Spatially-Discretized Hamiltonian Vlasov-Maxwell System
Jianyuan Xiao, Hong Qin, Jian Liu +1
Structure-preserving geometric algorithm for the Vlasov-Maxwell (VM) equations is currently an active research topic. We show that spatially-discretized Hamiltonian systems for the…
Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems
Qiang Chen, Hong Qin, Jian Liu +4
An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrödinger-M…
Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
Ruili Zhang, Yulei Wang, Yang He +4
Relativistic dynamics of a charged particle in time-dependent electromagnetic fields has theoretical significance and a wide range of applications. It is often multi-scale and requ…
High order volume-preserving algorithms for relativistic charged particles in general electromagnetic fields
Yang He, Yajuan Sun, Ruili Zhang +3
We construct high order symmetric volume-preserving methods for the relativistic dynamics of a charged particle by the splitting technique with processing. Via expanding the phase…
Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
Jianyuan Xiao, Hong Qin, Philip J. Morrison +4
An explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the el…
On the structure of the two-stream instability -- complex G-Hamiltonian structure and Krein collisions between positive- and negative-action modes
Ruili Zhang, Hong Qin, Ronald C. Davidson +2
The two-stream instability is probably the most important elementary example of collective instabilities in plasma physics and beam-plasma systems. For a warm plasma with two charg…
Explicit symplectic algorithms based on generating functions for charged particle dynamics
Ruili Zhang, Hong Qin, Yifa Tang +3
Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical…
Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
Jianyuan Xiao, Hong Qin, Jian Liu +3
Explicit high-order non-canonical symplectic particle-in-cell algorithms for classical particle-field systems governed by the Vlasov-Maxwell equations are developed. The algorithm…
Hamiltonian integration methods for Vlasov-Maxwell equations
Yang He, Hong Qin, Yajuan Sun +3
Hamiltonian integration methods for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, i.e., the…
Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"
Hong Qin, Yang He, Ruili Zhang +3
The paper [1] by Crouseilles, Einkemmer, and Faou used an incorrect Poisson bracket for the Vlasov-Maxwell equations. If the correct Poisson bracket is used, the solution of one of…
Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell system
Hong Qin, Jian Liu, Jianyuan Xiao +7
Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we…