Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
arXiv:1801.06826 · doi:10.1063/1.5023089
Abstract
The direction of cascades in a two-dimensional model that takes electron inertia and ion sound Larmor radius into account is studied, resulting in analytical expressions for the absolute equilibrium states of the energy and helicities. It is found that typically both the energy and magnetic helicity at scales shorter than electron skin depth have direct cascade, while at large scales the helicity has an inverse cascade as established earlier for reduced magnetohydrodynamics (MHD). It is also found that the introduction of gyro-effects allows for the existence of negative temperature (conjugate to energy) states and the condensation of energy to the large scales. Comparisons between two- and three-dimensional extended MHD models (MHD with two-fluid effects) show qualitative agreement between the two.
8 pages, 5 figures, 2 tables
References in corpus (16)
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
- Critical Transitions in Thin Layer Turbulence
- Coherent structures at ion scales in fast solar wind: {\it Cluster} observations
- Discontinuous transition from direct to inverse cascade in three-dimensional turbulence
- On the edge of an inverse cascade
- Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
- Extended MHD turbulence and its applications to the solar wind
- Inertial magnetohydrodynamics
- Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
- Gyrokinetic statistical absolute equilibrium and turbulence
- On the structure and statistical theory of turbulence of extended magnetohydrodynamics
- Structure and computation of two-dimensional incompressible extended MHD
- Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria
- Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence
- Chirality, extended MHD statistics and solar wind turbulence
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