Phase-Twist Instability in a Coprecessing Neutrino Plasma
Abstract
Dense neutrino plasmas support collective flavor motion. We derive the first explicit dispersion relation about a flavor-nondiagonal background, focusing on the coprecession solution underlying spectral-split formation during the prompt neutrino burst of an electron-capture supernova. We show that slow phase modulations are unstable Goldstone modes, causing the coprecession plane to wobble with increasing amplitude. The instability emerges in the hydrodynamic limit, governed by conservation laws and without resolving flavor-precession resonances. Coprecessing neutrino plasmas resemble magnetized plasmas: a coherent flavor field drives flavor isospins to precess, and the phase-twist instability is the flavor analog of the firehose instability.
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BibTeX
@misc{fiorillo2026phasetwist,
title = {{Phase-Twist Instability in a Coprecessing Neutrino Plasma}},
author = {Damiano F. G. Fiorillo and Dwaipayan Mukherjee and Basudeb Dasgupta and Georg G. Raffelt},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36101},
eprint = {2610.36101},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36101},
}
RIS
TY - UNPB
TI - Phase-Twist Instability in a Coprecessing Neutrino Plasma
AU - Damiano F. G. Fiorillo
AU - Dwaipayan Mukherjee
AU - Basudeb Dasgupta
AU - Georg G. Raffelt
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36101
UR - https://arxiv.org/abs/2610.36101
AB - Dense neutrino plasmas support collective flavor motion. We derive the first explicit dispersion relation about a flavor-nondiagonal background, focusing on the coprecession solution underlying spectral-split formation during the prompt neutrino burst of an electron-capture supernova. We show that slow phase modulations are unstable Goldstone modes, causing the coprecession plane to wobble with increasing amplitude. The instability emerges in the hydrodynamic limit, governed by conservation laws and without resolving flavor-precession resonances. Coprecessing neutrino plasmas resemble magnetized plasmas: a coherent flavor field drives flavor isospins to precess, and the phase-twist instability is the flavor analog of the firehose instability.
ER -