1996/06/25 by Ph. Brax, Brax, Ph.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9606156
9 pages , tex file
arxiv created 1996/06/25 · openalex publication_date 1996/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study two dimensional freely decaying magnetohydrodynamic turbulence. We investigate the time evolution of the probability law of the gauge field and the stream function. Assuming that this probability law is initially defined by a statistical field theory in the basin of attraction of a renormalisation group fixed point, we show that its time evolution is generated by renormalisation transformations. In the long time regime, the probability law is described by non-unitary conformal field theories. In that case, we prove that the kinetic and magnetic energy spectra are proportional. We then construct a family of fixed points using the (p,p+2) non-unitary minimal models of conformal field theories.