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PreprintarXiv licencearXiv

Entropy Production in Mesoscopic Electronic Transport Beyond Weak-Coupling

  • Ivana R. A. C. Lucena
  • Caio H. Lewenkopf
  • Alexandre R. Rocha
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Abstract

We investigate the full statistics of entropy production in coherent mesoscopic conductors beyond the weak-coupling regime. Using the inside-outside perspective and the Landauer-Büttiker scattering framework, we relate entropy production to the full counting statistics of particle transport and show that the corresponding cumulant-generating function satisfies the fluctuation symmetry independently of the coupling strength. We obtain closed analytical expressions for the cumulant-generating function in the weak- and strong-coupling limits, enabling a detailed characterization of entropy production distributions and higher-order cumulants. These cumulants reveal distinct signatures of resonant transport and coherent fermionic partitioning. While coupling-induced broadening substantially modifies the transport statistics, the fluctuation symmetry imposed by microscopic reversibility remains preserved in the long-time limit.

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Cite

BibTeXRIS
BibTeX
@misc{lucena2026entropy,
  title = {{Entropy Production in Mesoscopic Electronic Transport Beyond Weak-Coupling}},
  author = {Ivana R. A. C. Lucena and Caio H. Lewenkopf and Alexandre R. Rocha},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12652},
  eprint = {2610.12652},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12652},
}
RIS
TY  - UNPB
TI  - Entropy Production in Mesoscopic Electronic Transport Beyond Weak-Coupling
AU  - Ivana R. A. C. Lucena
AU  - Caio H. Lewenkopf
AU  - Alexandre R. Rocha
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12652
UR  - https://arxiv.org/abs/2610.12652
AB  - We investigate the full statistics of entropy production in coherent mesoscopic conductors beyond the weak-coupling regime. Using the inside-outside perspective and the Landauer-Büttiker scattering framework, we relate entropy production to the full counting statistics of particle transport and show that the corresponding cumulant-generating function satisfies the fluctuation symmetry independently of the coupling strength. We obtain closed analytical expressions for the cumulant-generating function in the weak- and strong-coupling limits, enabling a detailed characterization of entropy production distributions and higher-order cumulants. These cumulants reveal distinct signatures of resonant transport and coherent fermionic partitioning. While coupling-induced broadening substantially modifies the transport statistics, the fluctuation symmetry imposed by microscopic reversibility remains preserved in the long-time limit.
ER  -