Commit b5eeedd2 authored by Stephanie Radel's avatar Stephanie Radel
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Update SimplecticParticle-in-Cell.md

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Simplectic Particle-in-Cell
#### Authors:
T. Planche, P.M. Jung, S.D. Radel
T. Planche, P.M. Jung, S.D. Rädel
#### Abstract:
In this paper we will present a symplectic Particle-in-Cell algorithm which has the particularity to use a space coordinate (instead of time) as the independent variable. The algorithm follows from canonical transformation to the Frenet-Serret coordinate system of the relativistic Low Hamiltonian for collisionless plasma. It presents the advantage to greatly simplify numerical simulation of problems such as tracking with space-charge throughout an electron gun.
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A symplectic Particle-in-Cell algorithm which has the particularity to use a space coordinate as the independent variable instead of time is presented. The algorithm follows from canonical transformation to the Frenet-Serret coordinate system of the relativistic Low Hamiltonian for collisionless plasma. It presents the advantage to greatly simplify numerical simulation of problems such as tracking with space-charge throughout an electron gun.
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