{
  "abstract": "We extend the generalized anomalous diffusion framework established in Part 1 to the short-range forcing regime ($β>2/3$), where the multiscale-force dominated (MFD) subrange is intercalated after the inertial subrange, competing directly with the dissipation ranges. Focusing on electrokinetic (EK) turbulence as the prototypical example with $β=1$, we derive the relations for the velocity and scalar dissipation wavenumbers, $k_{\\mathrm{MD}}$ and $k_{\\mathrm{SD}}$, across all four subranges of the Quad-cascade process (inertial, constant-$Π_u$, constant-$Π_s$, and variable flux). By incorporating Golestanian's predicted anomalous diffusion regimes for electrolytes, we construct comprehensive phase diagrams showing how the relative magnitudes of $k_{\\mathrm{MD}}$ and $k_{\\mathrm{SD}}$ are governed by the scale-dependent anomalous Schmidt number $\\mathrm{Sc}_Z$. We identify two new spectral subranges that emerge exclusively in this short-range forcing regime: (i) the convective-forcing-viscous subrange ($k_{\\mathrm{MU}}\\ll k\\ll k_{\\mathrm{CFVD}}$) for either $\\mathrm{Sc}_Z\\gg1$ or $\\mathrm{Sc}_Z\\ll1$ with $γ>α$, where the scalar field drives viscous flow through electric body force; and (ii) the diffusive-forcing-convective subrange ($k_{\\mathrm{MU}}\\ll k\\ll k_{\\mathrm{DFCD}}$) for $\\mathrm{Sc}_Z\\ll1$ and $γ\\leα$, where the scalar structure dominated by diffusion determines electric body force, which in turn causes momentum convection. These results provide a complete analytical map of EK turbulence under anomalous diffusion, revealing how external parameters such as electric field strength and ionic diffusivity determine the cascade topology.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Transport Phenomena (2026)",
  "arxiv": "2608.23947",
  "author_total": 1,
  "authors": [
    {
      "name": "Wei Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6bbb2g1xtyar4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.23947",
  "fulltext_url": null,
  "id": "6bbb2g1xtyar4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.23947",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7204265553",
  "pdf_url": "https://arxiv.org/pdf/2608.23947",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6bbb2g1xtyar4.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2608.23947",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.23947"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Momentum-scalar coupled turbulence with anomalous momentum and scalar diffusions. Part 2: With short-range external force and implementation in electrokinetic turbulence",
  "title_text": "Momentum-scalar coupled turbulence with anomalous momentum and scalar diffusions. Part 2: With short-range external force and implementation in electrokinetic turbulence",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:50Z",
  "url": "https://research.draconitic.com/paper/6bbb2g1xtyar4",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1515/tp-2026-0130",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}