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PreprintCC BY 4.0arXiv

Emergence of Nonlocal Hydrodynamics in Many-Body Radiative Heat Transport

  • Mauricio Gomez Viloria
  • Florian Herz
  • Riccardo Messina
  • Philippe Ben-Abdallah
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Abstract

We develop a nonlocal hydrodynamic theory of radiative heat transport in many-body systems by coarse graining their microscopic electrodynamic interactions. Long-range radiative exchange naturally generates a spatially nonlocal constitutive relation in which the heat current at a given position depends on temperature gradients over an extended region, while energy conservation retains its local conservative form. Fourier transport emerges as a controlled long-wavelength limit when the interaction kernel has a finite second spatial moment. When this moment fails to converge, spatial nonlocality survives coarse graining and gives rise to non-Fourier transport. The resulting framework establishes a systematic bridge between discrete many-body fluctuational electrodynamics and a continuous description of radiative heat transport.

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Cite

BibTeXRIS
BibTeX
@misc{viloria2026emergence,
  title = {{Emergence of Nonlocal Hydrodynamics in Many-Body Radiative Heat Transport}},
  author = {Mauricio Gomez Viloria and Florian Herz and Riccardo Messina and Philippe Ben-Abdallah},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.16488},
  eprint = {2610.16488},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.16488},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Emergence of Nonlocal Hydrodynamics in Many-Body Radiative Heat Transport
AU  - Mauricio Gomez Viloria
AU  - Florian Herz
AU  - Riccardo Messina
AU  - Philippe Ben-Abdallah
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.16488
UR  - https://arxiv.org/abs/2610.16488
AB  - We develop a nonlocal hydrodynamic theory of radiative heat transport in many-body systems by coarse graining their microscopic electrodynamic interactions. Long-range radiative exchange naturally generates a spatially nonlocal constitutive relation in which the heat current at a given position depends on temperature gradients over an extended region, while energy conservation retains its local conservative form. Fourier transport emerges as a controlled long-wavelength limit when the interaction kernel has a finite second spatial moment. When this moment fails to converge, spatial nonlocality survives coarse graining and gives rise to non-Fourier transport. The resulting framework establishes a systematic bridge between discrete many-body fluctuational electrodynamics and a continuous description of radiative heat transport.
ER  -