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PreprintCC BY 4.0arXiv

Only the immortal can (almost) flock while turning: Two-dimensional chiral immortal flocks, time crystals and non-universal sub-logarithmic roughness

  • Sudip Mukherjee
  • Abhik Basu
  • Leiming Chen
  • John Toner
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Abstract

We study two-dimensional chiral ``dry'' (non-momentum conserving) ``immortal'' (number conserving) ``flocks'' (polar ordered active fluids). Noise driven fluctuations about the noise-free ``time crystal'' state, in which the velocity rotates uniformly in time, obey coupled Kardar-Parisi-Zhang-like equations for the local velocity orientation and a conserved concentration field; the latter field stabilizes order. Orientational fluctuations grow only sub-logarithmically, and number fluctuations are suppressed (``hyperuniform''); both exhibit nonuniversal scaling exponents. There are three different universality classes of disordering transitions.

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Cite

BibTeXRIS
BibTeX
@misc{mukherjee2026only,
  title = {{Only the immortal can (almost) flock while turning: Two-dimensional chiral immortal flocks, time crystals and non-universal sub-logarithmic roughness}},
  author = {Sudip Mukherjee and Abhik Basu and Leiming Chen and John Toner},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41316},
  eprint = {2610.41316},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41316},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Only the immortal can (almost) flock while turning: Two-dimensional chiral immortal flocks, time crystals and non-universal sub-logarithmic roughness
AU  - Sudip Mukherjee
AU  - Abhik Basu
AU  - Leiming Chen
AU  - John Toner
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41316
UR  - https://arxiv.org/abs/2610.41316
AB  - We study two-dimensional chiral ``dry'' (non-momentum conserving) ``immortal'' (number conserving) ``flocks'' (polar ordered active fluids). Noise driven fluctuations about the noise-free ``time crystal'' state, in which the velocity rotates uniformly in time, obey coupled Kardar-Parisi-Zhang-like equations for the local velocity orientation and a conserved concentration field; the latter field stabilizes order. Orientational fluctuations grow only sub-logarithmically, and number fluctuations are suppressed (``hyperuniform''); both exhibit nonuniversal scaling exponents. There are three different universality classes of disordering transitions.
ER  -