30 citations · 228 across the 45 of their papers we have counts for
13 papers · 1 filter
Inchworm Monte Carlo method for open quantum systems
Zhenning Cai, Jianfeng Lu, Siyao Yang
We investigate in this work a recently proposed diagrammatic quantum Monte Carlo method --- the inchworm Monte Carlo method --- for open quantum systems. We establish its validity…
On discrete Wigner transforms
Zhenning Cai, Jianfeng Lu, Kevin Stubbs
In this work, we derive a discrete analog of the Wigner transform over the space for any prime and any positive integer . We show that the Wigne…
A Framework on Moment Model Reduction for Kinetic Equation
Zhenning Cai, Yuwei Fan, Ruo Li
By a further investigation on the structure of the coefficient matrix of the globally hyperbolic regularized moment equations for Boltzmann equation in [Z. Cai, Y. Fan and R. Li, C…
On Hyperbolicity of 13-Moment System
Zhenning Cai, Yuwei Fan, Ruo Li
We point out that the thermodynamic equilibrium is not an interior point of the hyperbolicity region of Grad's 13-moment system. With a compact expansion of the phase density, whic…
Solving Vlasov Equations Using NRxx Method
Zhenning Cai, Ruo Li, Yanli Wang
In this paper, we propose a moment method to numerically solve the Vlasov equations using the framework of the NRxx method developed in [6, 8, 7] for the Boltzmann equation. Due to…
Quantum Hydrodynamic Model by Moment Closure of Wigner Equation
Zhenning Cai, Yuwei Fan, Ruo Li +2
In this paper, we derive the quantum hydrodynamics models based on the moment closure of the Wigner equation. The moment expansion adopted is of the Grad type firstly proposed in \…