Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 12 min ago
PreprintCC BY 4.0arXiv

The conductance filtration: sink-relative persistence and exact edge sensitivity for heat transport in particle-filled composites

  • Daisuke Yasufuku
Open at sourcePDFDOICite

Abstract

We formulate the thermal conductance ge of a particle pair as three branch types -- contact, near-contact and bond -- within a single construction, and we introduce the filtration that takes this ge as its axis (the conductance filtration) together with persistence taken relative to the sink boundary. We then show that the dissipation share is exactly the logarithmic sensitivity of the effective conductance, and that a finite change of a single edge is predicted exactly in closed form. The allocation of the dissipation among branch types, and the idealisation ratio of each mechanism (interface, matrix and particle), are thereby obtained as diagnostic quantities on one and the same graph representation.

Related

  1. Benchmarking and sensitivity analysis of segmentation methods for image-based fiber detection in composites
    Onur Yuksel, Guillaume Broggi, Robin Hartley +20
    Composites Part A: Applied Science and ManufacturingPeer-reviewedCC BY-NC 4.0Full textGeneral physicsHAL
  2. Random-walk scaling without Bernoulli statistics: transport, persistence and resonances in the triangle map
    Mirko Degli Esposti
    arXivPreprintCC BY 4.0Full textMathematical physicsStatistical & nonlinear physicsarXiv
  3. Hall conductance in a weakly time-reversal invariant open system
    Alexander Fagerlund, Christopher Ekman, Rodrigo Arouca
    Physical Review ResearchPeer-reviewedPublisher termsAtomic, molecular & optical physicsCrossref
  4. Fractional Hall Conductance of Laughlin States from a Topological Index
    Sven Bachmann, Severin Schraven, Jacob Shapiro +1
    arXivPreprintCC BY 4.0Full textMathematical physicsCondensed matterarXiv
  5. Giant Conductance Enhancement in Graphene Nanoscrolls via Interlayer-Coupled States
    Jia-Cheng Li, Ying-Je Lee, Yu An Cheng +6
    arXivPreprintCC BY 4.0Full textApplied physics & instrumentationCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{yasufuku2026conductance,
  title = {{The conductance filtration: sink-relative persistence and exact edge sensitivity for heat transport in particle-filled composites}},
  author = {Daisuke Yasufuku},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30810},
  eprint = {2609.30810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30810},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The conductance filtration: sink-relative persistence and exact edge sensitivity for heat transport in particle-filled composites
AU  - Daisuke Yasufuku
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.30810
UR  - https://arxiv.org/abs/2609.30810
AB  - We formulate the thermal conductance g_e of a particle pair as three branch types -- contact, near-contact and bond -- within a single construction, and we introduce the filtration that takes this g_e as its axis (the conductance filtration) together with persistence taken relative to the sink boundary. We then show that the dissipation share is exactly the logarithmic sensitivity of the effective conductance, and that a finite change of a single edge is predicted exactly in closed form. The allocation of the dissipation among branch types, and the idealisation ratio of each mechanism (interface, matrix and particle), are thereby obtained as diagnostic quantities on one and the same graph representation.
ER  -