Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory.

Details Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory. Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory.

1995-03-01

arxiv.org/abs/hep-th/9503005v1

Annals Phys. 246 (1996) 446-458

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex , no Figures, 2 Tables.

Scientific paper

10.1006/aphy.1996.0033

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 equivelently 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 $ M_{2,7} $ 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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