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Электронный каталог: Hnatic, M. - Two-Loop Turbelent Helical Magnetohydrodynamics : Large-Scale Dynamo and Energy Spectrum
Hnatic, M. - Two-Loop Turbelent Helical Magnetohydrodynamics : Large-Scale Dynamo and Energy Spectrum
Статья
Автор: Hnatic, M.
Physical Review E: Two-Loop Turbelent Helical Magnetohydrodynamics : Large-Scale Dynamo and Energy Spectrum
б.г.
ISBN отсутствует
Автор: Hnatic, M.
Physical Review E: Two-Loop Turbelent Helical Magnetohydrodynamics : Large-Scale Dynamo and Energy Spectrum
б.г.
ISBN отсутствует
На полку
Статья
Hnatic, M.
Two-Loop Turbelent Helical Magnetohydrodynamics : Large-Scale Dynamo and Energy Spectrum / M.Hnatic, L.Mizisin, Yu.Molotkov, [a.o.]. – Text : electronic // Physical Review E. – 2025. – Vol. 112, No. 1. – P. 015211. – URL: https://doi.org/10.1103/xhzb-5hr4.
We present a two-loop field-theoretic analysis of incompressible helical magnetohydrodynamics (MHD) in fully developed stationary turbulence. A key feature of helical MHD is the appearance of an infrared-unstable “masslike” term in the loop diagrams of the magnetic response function. Physically, this term corresponds to the relevant perturbation of the Joule damping, proportional to 𝛁×𝒃 (𝒃= magnetic field). Its presence destabilizes the trivial ground state ⟨𝒃⟩=0 and forces us to look for a mechanism for stabilizing the system. We show that such stabilization can be achieved in two ways: (i) by introducing into induction equation an external masslike parameter that precisely cancels these dangerous loop corrections (kinematic regime), or (ii) via spontaneous breaking of the rotational symmetry, leading to a new ground state with nonzero large-scale magnetic field (turbulent dynamo regime). For the latter case, we study the two-loop correction to the spontaneously generated magnetic field and demonstrate that Goldstone-like corrections to Alfvén modes along with some other anisotropic structures arise. Our results also confirm that the emergent mean magnetic field leads to a steeper slope of the magnetic energy spectrum, −11/3+2𝛾𝑏★ (with 𝛾𝑏★=−0.1039−0.4202𝜌2, for |𝜌|⩽1 as the degree of helicity), compared to the Kolmogorov velocity spectrum of −11/3, thereby breaking equipartition.
ОИЯИ = ОИЯИ (JINR)2025
Hnatic, M.
Two-Loop Turbelent Helical Magnetohydrodynamics : Large-Scale Dynamo and Energy Spectrum / M.Hnatic, L.Mizisin, Yu.Molotkov, [a.o.]. – Text : electronic // Physical Review E. – 2025. – Vol. 112, No. 1. – P. 015211. – URL: https://doi.org/10.1103/xhzb-5hr4.
We present a two-loop field-theoretic analysis of incompressible helical magnetohydrodynamics (MHD) in fully developed stationary turbulence. A key feature of helical MHD is the appearance of an infrared-unstable “masslike” term in the loop diagrams of the magnetic response function. Physically, this term corresponds to the relevant perturbation of the Joule damping, proportional to 𝛁×𝒃 (𝒃= magnetic field). Its presence destabilizes the trivial ground state ⟨𝒃⟩=0 and forces us to look for a mechanism for stabilizing the system. We show that such stabilization can be achieved in two ways: (i) by introducing into induction equation an external masslike parameter that precisely cancels these dangerous loop corrections (kinematic regime), or (ii) via spontaneous breaking of the rotational symmetry, leading to a new ground state with nonzero large-scale magnetic field (turbulent dynamo regime). For the latter case, we study the two-loop correction to the spontaneously generated magnetic field and demonstrate that Goldstone-like corrections to Alfvén modes along with some other anisotropic structures arise. Our results also confirm that the emergent mean magnetic field leads to a steeper slope of the magnetic energy spectrum, −11/3+2𝛾𝑏★ (with 𝛾𝑏★=−0.1039−0.4202𝜌2, for |𝜌|⩽1 as the degree of helicity), compared to the Kolmogorov velocity spectrum of −11/3, thereby breaking equipartition.
ОИЯИ = ОИЯИ (JINR)2025
