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Statistical properties of driven Magnetohydrodynamic turbulence in three dimensions: Novel universality

By Abhik Basu and Abteilung Theorie

Abstract

Abstract. – We analyse the universal properties of nonequilibrium steady states of driven Magnetohydrodynamic (MHD) turbulence in three dimensions (3d). We elucidate the dependence of various phenomenologically important dimensionless constants on the symmetries of the two-point correlation functions. We, for the first time, also suggest the intriguing possibility of multiscaling universality class varying continuously with certain dimensionless parameters. The experimental and theoretical implications of our results are discussed. In the vicinity of a critical point, equilibrium systems show universal scaling properties for thermodynamic functions and correlation functions: These are characterised by universal scaling exponents that depend on the spatial dimension d and the symmetry of the order parameter (e.g., Ising, XY etc.) [1], but not on the parameters that specify the details of the Hamiltonian. A notable exception is the class of two-dimensional models, such as the XY model in d = 2, in which continuously varying scaling exponents are found [2]. Dynamic scaling exponents, that characterise the behaviour of time-dependent correlation functions also show universality [3]. A different situation arises in driven, dissipative, nonequilibrium systems with nonequilibrium statistical steady states (NESS). We show here that driven homogeneou

Year: 2003
OAI identifier: oai:CiteSeerX.psu:10.1.1.306.49
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