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|Paper IPM / Physic / 6510||
We show that an infinite number of non-unitary minimal models may describe two
dimensional turbulent magnetohydrodynamics (MHD), both in the presence and
absence of the Alf'ven effect. We argue that the existence of a critical
dynamical index results in the Alf'ven effect or equivalently the
equipartition of energy. We show that there are an infinite number of conserved
quantities in 2D−MHD turbulent systems both in the limit of vanishing the
viscocities and in force free case. In the force free case,
using the non-unitary minimal model M2,7 we derive the correlation
functions for the velocity stream function and magnetic flux function.
Generalising this simple model we find the exponents of the energy spectrum in
the inertial range for a class of conformal field theories.
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