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Gaussian fluctuating generally covariant diffusion

Giorgio Torrieri and David Montenegro

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Phys. Rev. D 113, 096021 – Published 26 May, 2026

DOI: https://doi.org/10.1103/9bg6-shp6

Abstract

We extend the previously developed generally covariant formalism to include diffusion of conserved charges. We construct a partition function with chemical potential, and calculate the dynamics of the diffusion matrix in terms of the Ward identity enforcing charge conservation and linear response. We comment on the differences between diffusion of conserved scalar charges and full viscous hydrodynamics, and outline possible physical applications.

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Phys. Rev. D 113, 096021– Published 26 May, 2026
  • Received 9 January 2026
  • Accepted 17 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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