Exact momentum conservation laws for truncated gyrokinetic Vlasov-Poisson equations

The exact momentum conservation laws are derived by Noether method for the truncated gyrokinetic Vlasov-Poisson equations based on a variational formulation constructed in [1]. We thus obtain results similar to our previous work [2], which may find applications in the numerical investigations of intrinsic rotation of axisymmetric tokamak plasmas by delta-f gyrokinetic simulation methods. \\[4pt] [1] A.J. Brizard, Phys. Plasmas \underline {17}, 042303 (2010). \\[0pt] [2] A.J. Brizard and N. Tronko, Phys. Plasmas \underline {18}, 082307 (2011).