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PreprintarXiv licencearXiv

Current fluctuations of diffusive systems with a battery

  • Thibaut Jonckheere
  • Bernard Derrida
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Abstract

For a diffusive system on a ring, with a battery at the origin, we use the macroscopic fluctuation theory (MFT) to obtain the large deviation function of the current. In the case of non-interacting particles, the predictions of the MFT agree with the result of a direct exact microscopic calculation. To our surprise, the large deviation function of non-interacting particles with a battery has the same form as for the Symmetric Simple Exclusion Process (SSEP) with open boundary conditions. For the SSEP on a ring with a battery, the predictions of the MFT seem to agree with the results of long Monte Carlo simulations, although much longer simulations would be needed to better test the validity of these predictions.

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Cite

BibTeXRIS
BibTeX
@misc{jonckheere2026current,
  title = {{Current fluctuations of diffusive systems with a battery}},
  author = {Thibaut Jonckheere and Bernard Derrida},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18851},
  eprint = {2609.18851},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18851},
}
RIS
TY  - UNPB
TI  - Current fluctuations of diffusive systems with a battery
AU  - Thibaut Jonckheere
AU  - Bernard Derrida
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18851
UR  - https://arxiv.org/abs/2609.18851
AB  - For a diffusive system on a ring, with a battery at the origin, we use the macroscopic fluctuation theory (MFT) to obtain the large deviation function of the current. In the case of non-interacting particles, the predictions of the MFT agree with the result of a direct exact microscopic calculation. To our surprise, the large deviation function of non-interacting particles with a battery has the same form as for the Symmetric Simple Exclusion Process (SSEP) with open boundary conditions. For the SSEP on a ring with a battery, the predictions of the MFT seem to agree with the results of long Monte Carlo simulations, although much longer simulations would be needed to better test the validity of these predictions.
ER  -