Turbulent Two-Dimensional Magnetohydrodynamics and Conformal Field Theory

✍ Scribed by M.R. Rahimi Tabar; S. Rouhani

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 350 KB
• Volume: 246
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1996.0033

✦ Synopsis

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 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.

1996 Academic Press, Inc.

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article no. 0033