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This is an incomplete and somewhat misleading picture of the approach required to develop physically-useful gyrokinetic equations. For example, there are typically sources of particles, momentum and energy, and there is always a collisional sink. Moreover, because of collisions, the system must generally remain close to Maxwellian in velocity space. Treating these effects consistently requires a non-Hamiltonian approach. -- Jcandy (talk) 17:21, 7 February 2011 (UTC)