Volume-preserving algorithms for charged particle dynamics. (English) Zbl 1351.82076
Summary: The paper reports the development of volume-preserving algorithms using the splitting technique for charged particle motion under the Lorentz force. The source-free nature of the Lorentz vector field has been investigated. Based on the volume-preserving property of the dynamics, a class of numerical methods for advancing charged particles in a general electromagnetic field has been constructed by splitting the classical evolution operator. This new class of numerical methods, which includes the Boris algorithm as a special case, conserves phase space volume, and globally bounds the numerical errors of energy, momentum, and other adiabatic invariants up to the order of the method over a very long simulation time. These algorithms can be computed explicitly, and thus are effective for the long-term simulation of the multi-scale dynamics of plasmas.
MSC:
| 82C80 | Numerical methods of time-dependent statistical mechanics (MSC2010) |
| 65P10 | Numerical methods for Hamiltonian systems including symplectic integrators |
| 82D10 | Statistical mechanics of plasmas |
Keywords:
Lorentz force equation; splitting method; volume-preserving integrator; boris algorithm; conservative quantitiesReferences:
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