@article{ISI:000373585400008,
 abstract = {It is shown how suitably scaled, order-m moments, D-m(+/-), of the
Elsasser vorticity fields in three-dimensional magnetohydrodynamics
(MHD) can be used to identify three possible regimes for solutions of
the MHD equations with magnetic Prandtl number P-M = 1. These vorticity
fields are defined by omega(+/-) = curl z(+/-) = omega +/- j, where
z(+/-) are Elsasser variables, and where omega and j are, respectively,
the fluid vorticity and current density. This study follows recent
developments in the study of three-dimensional Navier-Stokes fluid
turbulence [Gibbon et al., Nonlinearity 27, 2605 (2014)]. Our
mathematical results are then compared with those from a variety of
direct numerical simulations, which demonstrate that all solutions that
have been investigated remain in only one of these regimes which has
depleted nonlinearity. The exponents q(+/-) that characterize the
inertial range power-law dependencies of the z(+/-) energy spectra,
epsilon(+/-)(k), are then examined, and bounds are obtained. Comments
are also made on (a) the generalization of our results to the case P-M
not equal 1 and (b) the relation between D-m(+/-) and the order-m
moments of gradients of magnetohydrodynamic fields, which are used to
characterize intermittency in turbulent flows.},
 article-number = {043104},
 author = {Gibbon, J. D. and Gupta, A. and Krstulovic, G. and Pandit, R. and
Politano, H. and Ponty, Y. and Pouquet, A. and Sahoo, G. and Stawarz, J.},
 doi = {10.1103/PhysRevE.93.043104},
 eissn = {2470-0053},
 issn = {2470-0045},
 journal = {PHYSICAL REVIEW E},
 month = {APR 4},
 number = {4},
 orcid-numbers = {Gupta, Anupam/0000-0002-7335-0584
Stawarz, Julia E/0000-0002-5702-5802
Sahoo, Ganapati/0000-0003-2730-7822
Krstulovic, Giorgio/0000-0002-9934-6292},
 researcherid-numbers = {Gupta, Anupam/N-4777-2018
Stawarz, Julia E/L-7387-2016
},
 times-cited = {3},
 title = {Depletion of nonlinearity in magnetohydrodynamic turbulence: Insights
from analysis and simulations},
 unique-id = {ISI:000373585400008},
 volume = {93},
 year = {2016}
}