@article{ISI:000332162800001,
 abstract = {We generalize the method of A. M. Polyakov, [Phys. Rev. E 52, 6183
(1995)] for obtaining structure-function relations in turbulence in the
stochastically forced Burgers equation, to develop structure-function
hierarchies for turbulence in three models for magnetohydrodynamics
(MHD). These are the Burgers analogs of MHD in one dimension [Eur.
Phys. J.B 9, 725 (1999)], and in three dimensions (3DMHD and 3D Hall
MHD). Our study provides a convenient and unified scheme for the
development of structure-function hierarchies for turbulence in a
variety of coupled hydrodynamical equations. For turbulence in the three
sets of MHD equations mentioned above, we obtain exact relations for
third-order structure functions and their derivatives; these expressions
are the analogs of the von Karman-Howarth relations for fluid
turbulence. We compare our work with earlier studies of such relations
in 3DMHD and 3D Hall MHD.},
 article-number = {012117},
 author = {Basu, Abhik and Naji, Ali and Pandit, Rahul},
 doi = {10.1103/PhysRevE.89.012117},
 eissn = {1550-2376},
 issn = {1539-3755},
 journal = {PHYSICAL REVIEW E},
 month = {JAN 14},
 number = {1},
 orcid-numbers = {Naji, Ali/0000-0003-3436-1499},
 researcherid-numbers = {Naji, Ali/F-6352-2010},
 times-cited = {3},
 title = {Structure-function hierarchies and von Karman-Howarth relations for
turbulence in magnetohydrodynamical equations},
 unique-id = {ISI:000332162800001},
 volume = {89},
 year = {2014}
}