Commit 889c225a authored by Thomas Planche's avatar Thomas Planche
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Update SimplecticParticle-in-Cell.md

parent 9c6bfd44
......@@ -7,6 +7,6 @@ T. Planche, P.M. Jung, S.D. Rädel
#### Abstract:
We present a symplectic Particle-in-Cell algorithm which uses a space coordinate, instead of time, as the independent variable.
The algorithm derives from a Hamiltonian. The Hamiltonian is obtained from canonical transformation of the relativistic Low Hamiltonian for collisionless plasma.
This method presents the advantage to greatly simplify numerical simulation of problems such as tracking with space charge throughout an electron gun.
The algorithm derives from a Hamiltonian which is obtained from canonical transformation of the relativistic Low Hamiltonian for collisionless plasma.
This method has the advantage of greatly simplifying simulations such as tracking with space charge throughout an electron gun.
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