A random cloud model for the Wigner equation

DOI10.3934/KRM.2016.9.217zbMath1329.60352OpenAlexW2553679672MaRDI QIDQ891646

Wolfgang Wagner

Publication date: 17 November 2015

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2016.9.217

zbMATH Keywords

Wigner equationprobabilistic representationpiecewise deterministic Markov processstochastic particle model

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (9)

A random cloud algorithm for the Schrödinger equation ⋮ A benchmark study of the signed-particle Monte Carlo algorithm for the Wigner equation ⋮ A stochastic algorithm without time discretization error for the Wigner equation ⋮ The Wigner Branching Random Walk: Efficient Implementation and Performance Evaluation ⋮ A random walk model for the Schrödinger equation ⋮ Overcoming the numerical sign problem in the Wigner dynamics via adaptive particle annihilation ⋮ A Class of Stochastic Algorithms for the Wigner Equation ⋮ Branching Random Walk Solutions to the Wigner Equation ⋮ Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier

Cites Work

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• Stochastic weighted particle methods for population balance equations
• Direct simulation of the uniformly heated granular Boltzmann equation.
• An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation
• A stochastic weighted particle method for the Boltzmann equation
• A low-variance deviational simulation Monte Carlo for the Boltzmann equation
• A random cloud model for the Schrödinger equation
• A Stochastic Weighted Particle Method for Coagulation--Advection Problems
• On the equivalence of the Schrödinger and the quantum Liouville equations
• Deviational particle Monte Carlo for the Boltzmann equation
• An Analysis of the Quantum Liouville Equation
• A benchmark study of the Wigner Monte Carlo method
• Simulation of rare events by the stochastic weighted particle method for the Boltzmann equa\-tion.

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