Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 29 min ago
PreprintCC BY-NC-SA 4.0arXiv

Mixed symmetries in active non-reciprocal systems

  • Yuv Agarwal
  • Ylann Rouzaire
  • Daniel J. G. Pearce
Open at sourcePDFDOICite

Abstract

Active materials are driven out of equilibrium at the microscopic scale and display diverse phenomenology; non-reciprocity is a subclass of activity in which action-reaction symmetry is also broken. These models are often grouped by the order of symmetry of their components, such as polar bird flocks or hexatic cellular tissues. However, many biological examples exist in which the components appear to have two or more symmetries simultaneously. To study this effect we introduce two independently controllable symmetries to the non-reciprocal XY model. This lattice model demonstrates wide ranging behavior dictated by the chosen symmetries. We derive a full hydrodynamic description of our lattice model that highlights the mechanisms driving its behavior. Each combination of symmetries can lead to a different hydrodynamic model with one or two simultaneous order parameters with different levels of orientational order that can appear active or not.

Related

  1. Emergent non-reciprocal pair interactions in catalytically propelled active polyhedra
    Silvana A. Caipa Cure, Sander C. Kammeraat, Jerome Hem +2
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  2. Bootstrapping symmetries in quantum many-body systems from the cross spectral form factor
    Chen Bai, Zihan Zhou, Bastien Lapierre +1
    Physical Review XPeer-reviewedPublisher termsAtomic, molecular & optical physicsCrossref
  3. Constructing SU(N) strongly coupled dark sectors by extending the Standard Model: mixed representations, flavor structure, global symmetries and various portals
    Yi Chung
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  4. Typical number and stability of equilibria in large non-reciprocal complex systems
    Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal, Valentina Ros
    arXivPreprintarXiv licenceFull textMathematical physicsCondensed matterarXiv
  5. Large Deviation Functions of Open Quantum Systems with Strong Symmetries
    Jiayi Gu, Hailong Wang, Shanhe Su +1
    arXivPreprintCC0Full textStatistical & nonlinear physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{agarwal2026mixed,
  title = {{Mixed symmetries in active non-reciprocal systems}},
  author = {Yuv Agarwal and Ylann Rouzaire and Daniel J. G. Pearce},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36817},
  eprint = {2610.36817},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36817},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Mixed symmetries in active non-reciprocal systems
AU  - Yuv Agarwal
AU  - Ylann Rouzaire
AU  - Daniel J. G. Pearce
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36817
UR  - https://arxiv.org/abs/2610.36817
AB  - Active materials are driven out of equilibrium at the microscopic scale and display diverse phenomenology; non-reciprocity is a subclass of activity in which action-reaction symmetry is also broken. These models are often grouped by the order of symmetry of their components, such as polar bird flocks or hexatic cellular tissues. However, many biological examples exist in which the components appear to have two or more symmetries simultaneously. To study this effect we introduce two independently controllable symmetries to the non-reciprocal XY model. This lattice model demonstrates wide ranging behavior dictated by the chosen symmetries. We derive a full hydrodynamic description of our lattice model that highlights the mechanisms driving its behavior. Each combination of symmetries can lead to a different hydrodynamic model with one or two simultaneous order parameters with different levels of orientational order that can appear active or not.
ER  -