In homogeneous isotropic turbulence, two-point enstrophy analysis shows vortex stretching production balancing destruction above 10 Kolmogorov scales with diffusion dominating below, and a dual direct-reverse inertial flux arising from longitudinal and transverse vorticity dynamics due to stretching
Onsager, Statistical hydrodynamics, Il Nuovo Cimento (1943-1954)6, 279 (1949)
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General theory for low-T superfluid stiffness depletion without Galilean symmetry, reproducing Landau's result as a special case and predicting universal T^{d+1} and 1/L^{d+1} scaling.
A new coarse-graining operator applied to phase-coupled motile oscillators reveals an inverse energy cascade and macroscopic vortex clustering in overdamped chiral active matter.
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Two-point enstrophy dynamics in homogeneous isotropic turbulence
In homogeneous isotropic turbulence, two-point enstrophy analysis shows vortex stretching production balancing destruction above 10 Kolmogorov scales with diffusion dominating below, and a dual direct-reverse inertial flux arising from longitudinal and transverse vorticity dynamics due to stretching
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Low-temperature Depletion of Superfluid Density in the Absence of Galilean Symmetry
General theory for low-T superfluid stiffness depletion without Galilean symmetry, reproducing Landau's result as a special case and predicting universal T^{d+1} and 1/L^{d+1} scaling.