A class of stationary nonlinear dusty plasma equilibria

It is shown that nonparallel density and temperature gradients can produce magnetic fields in dusty plasmas. Spontaneously created magnetic fields can be maintained if there exists plasma vorticity. In order to understand thi s phenomena, a self-consistent dusty plasma equilibrium model is constructe d by employing a kinetic description and invoking the Hamiltonian approach. Stationary nonlinear dusty plasma equilibria contain specific profiles for the plasma number density, the plasma current, and the magnetic field. The relevance of this investigation to low-temperature laboratory dusty and sp ace plasmas is discussed. (C) 1999 American Institute of Physics. [S1070-66 4X(99)01407-X].