• Corpus ID: 211132470

# Non-Archimedean Electrostatics

@article{Sinclair2020NonArchimedeanE,
title={Non-Archimedean Electrostatics},
author={Christopher D. Sinclair},
journal={arXiv: Mathematical Physics},
year={2020}
}
• C. Sinclair
• Published 17 February 2020
• Mathematics
• arXiv: Mathematical Physics
We introduce ensembles of repelling charged particles restricted to a ball in a non-archimedean field (such as the $p$-adic numbers) with interaction energy between pairs of particles proportional to the logarithm of the ($p$-adic) distance between them. In the {\em canonical ensemble}, a system of $N$ particles is put in contact with a heat bath at fixed inverse temperature $\beta$ and energy is allowed to flow between the system and the heat bath. Using standard axioms of statistical physics…

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