Non-MHD gravity-driven Hamiltonian dynamo for driving astrophysical jets

Physics

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Scientific paper

Conservation of canonical angular momentum Pφ=mσr^2φ+ (2π)-1qσψ(r,z,t) shows that charged particles are typically constrained to stay within a poloidal Larmor radius of a poloidal magnetic flux surface ψ(r,z,t) . However, more detailed consideration shows that particles with a critical charge to mass ratio can have zero canonical angular momentum and so be both immune from centrifugal force and not constrained to stay in the vicinity of a specific flux surface. Suitably charged dust grains can have zero canonical angular momentum and in the presence of a gravitational field will spiral inwards across poloidal magnetic surfaces toward the central object and accumulate. This accumulation results in a gravitationally-driven dynamo [1], i.e., a mechanism for converting gravitational potential energy into a battery-like electric power source. [1] P. M. Bellan, Phys. Plasmas 14, Art. No. 122901, 2007

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