Code and data associated with the paper "Non-reciprocal phase transitions"

This record contains the code needed to reproduce the main results of the paper Non-reciprocal phase transitions, Michel Fruchart, Ryo Hanai, Peter B. Littlewood, Vincenzo Vitelli, Nature (2021) doi: 10. 1038/s41586-021-03375-9 arXiv: 2003. 13176 The scripts use Mathematica (Mathematica 12. 2. 0, WolframScript 1. 5. 0), Julia (version 1. 5. 0), and Python (version 3. 8. 8). Some of the numerical simulations are performed using Dedalus (version 2. 1810 ; https: //dedalus-project. org). All code is released under the 2-clause BSD license (see LICENSE), except the file complexderivative. wl (CC BY-SA 4. 0, see details in the file). Below, we give a list of the files corresponding to each figure. Main text Fig. 1: - ab: nothing - cd: vicsek/* plot: same directory - ef: nothing - ghi: nothing Fig. 2: - abc: computeₚhasediagram. wl and analyticalₚhaseboundaries. wl plot: figureₚhasediagram. ipynb - de: nothing - fg: computeₛpectrogram. wl plot: figurefrequenciesₛteadyₛtate. ipynb Fig. 3: - a: computechiralₛtabilitydiagram. wl plot: figureₛtabilitydiagramwithchiral. ipynb - b: nothing - c: growthᵣateₘomentumₛpace. wl plot: figuregrowthᵣateₖspace. ipynb - def: dedaluscluster/* plot: figureₘovieₚatternsdataₐnalysisdedalus. ipynb Fig. 4: nothing Methods EDF1: nothing EDF2: kuramotoₛqrtn/* plot: figureₖuramotoₛqrtN. ipynb EDF3: nothing EDF4: kuramotoₐoLop. nb plot: figureₖuramotoₚhasediagram. ipynb EDF5: kuramotoₐoₕysteresis. nb plot: figureₖuramotoₕysteresis. ipynb EDF6: coupledₛwiftₕohenberg. py plot: figurecoupledₛh. ipynb EDF7: paritybreakingfingering. nb plot: figureₛiₑxceptionalₚointⱼacobianfingering. ipynb SI S1: nothing S2: same as main Fig. 1cd S3: nothing S4: generalizedₛystemₚhasediagram. wl plot: figureₛiₑffectₚerturbationsO2. ipynb S5: nothing S6: nothing S7: flockingₐlignedchiralgrowthᵣateₛifigdata. wl plot: figuregrowthᵣatechiralₜransition. ipynb S8: swapₜransitiongrowthᵣates. wl plot: figureₛigrowthᵣateₛwapₜransition. ipynb S9: simplifiedbifurcationdiagramcomputedata. nb plot: figuresₛibifurcationdiagram. ipynb S10: same as S7 S11: kuramotocomparisonₘeanfield/* plot: same directory S12: same as EDF2 S13: same as S11 S14: nothing S15: dynamicalₛystem₃DO3. nb plot: figureₛiEPO3. ipynb S16: laserₑp. nb plot: figureₛiEPₗaser. ipynb S17: nothing S18: same as main Fig. 3def S19: linearₛtabilityₕydroₛimus. wl plot: figureₛiₗinearₛtabilityₕydroₛimus. ipynb