Journal
PHYSICAL REVIEW LETTERS
Volume 118, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.118.055102
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Funding
- NSF Astrophysics and Astronomy Grant Program [1615940, 1615100]
- Research Council of Norway (FRINATEK) [231444]
- Swiss NSF SCOPES Grant [IZ7370-152581]
- Georgian Shota Rustaveli NSF Grant [FR/264/6-350/ 14]
- National Science Foundation [CNS-0821794]
- University of Colorado Boulder
- University of Colorado Denver
- National Center for Atmospheric Research
- Direct For Mathematical & Physical Scien
- Division Of Astronomical Sciences [1615100] Funding Source: National Science Foundation
- Division Of Astronomical Sciences
- Direct For Mathematical & Physical Scien [1615940] Funding Source: National Science Foundation
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We perform numerical simulations of decaying hydrodynamic and magnetohydrodynamic turbulence. We classify our time-dependent solutions by their evolutionary tracks in parametric plots between instantaneous scaling exponents. We find distinct classes of solutions evolving along specific trajectories toward points on a line of self-similar solutions. These trajectories are determined by the underlying physics governing individual cases, while the infrared slope of the initial conditions plays only a limited role. In the helical case, even for a scale-invariant initial spectrum (inversely proportional to wave number k), the solution evolves along the same trajectory as for a Batchelor spectrum (proportional to k(4)).
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