Reveals a pristine scale-invariant 3D Kolmogorov turbulence cascade in the Polaris Flare with an analytical mapping showing the apparent transition arises from projection and density fractal dimension changes.
Turbulence in cascading: Origin of the variance and skewness of density function
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
Turbulent systems typically exhibit log-normal volume density probability density functions (PDFs) on the $s = \ln\rho$ scale, with their variance ($\sigma^2$) and skewness ($\tau$) empirically regulated by the Mach number ($M$). In this work, we explain both the $\sigma^2$--$M$ and $\tau$--$M$ relationships from a thermodynamic and cascade perspective. Entropy conservation within the compressive modes yields the fiducial relation $\sigma^2 = \ln\left(1 + M^2\right)$, while deviations from a monotonic energy cascade modify this law into a dilogarithm function. Although skewness exerts a negligible impact on the global $\sigma^2$--$M$ scaling, the characteristic skewness parameter $\tau$ obeys a similar scaling law, $\tau \propto \ln\left(1 + M^2\right)$. We demonstrate that the asymmetric wings of the global density PDF originate from underlying low-$s$ and high-$s$ skewed kernels. These kernels are governed by two distinct structural redistribution mechanisms -- the mass-fraction and volume-fraction approaches -- which exhibit a profound duality symmetry. Crucially, the high-$s$ skewed kernels are physically realizable and closely mirror the gravity-driven power-law tails of column density PDFs observed in molecular clouds.
fields
astro-ph.GA 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
A new 100 deg² CO survey at high Galactic latitude maps the Polaris Flare, finds seven complexes with a 0.18 km/s/pc gradient and optical thickness, and proposes a three-layer hierarchy traced by different CO isotopes.
Linear decomposition of Planck dust maps using PMO CO and EBHIS HI surveys attributes 20-40% of dust to CO gas, negligible amounts to broad warm HI, and significant fractions to narrow cold HI and CO-dark molecular gas at boundaries.
citing papers explorer
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Kolmogorov turbulence across multi-fractal gas in Polaris Flare
Reveals a pristine scale-invariant 3D Kolmogorov turbulence cascade in the Polaris Flare with an analytical mapping showing the apparent transition arises from projection and density fractal dimension changes.
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PMO Polaris CO survey. I. A 100 deg$^2$ view of the Polaris Flare
A new 100 deg² CO survey at high Galactic latitude maps the Polaris Flare, finds seven complexes with a 0.18 km/s/pc gradient and optical thickness, and proposes a three-layer hierarchy traced by different CO isotopes.
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PMO Polaris CO survey. II. Where is the dust?
Linear decomposition of Planck dust maps using PMO CO and EBHIS HI surveys attributes 20-40% of dust to CO gas, negligible amounts to broad warm HI, and significant fractions to narrow cold HI and CO-dark molecular gas at boundaries.