powspechi

A simple python library for angular power spectral analysis of heavy-ion data - coupled to HEALPix. Explore the combination of methods used to analyze the early universe with debris from the matter created in accelerators. In other words, quark-gluon plasma meets spherical harmonics.

Below it is possible to see examples of maps created from simulated particle distributions as well as some of the spherical harmonics that contribute to their geometries (left). One can also see the final spectra (right) extracted from ALICE public data from Run 1 and the mALICE repository. The spectra are shown for the 10-20% most central events at different ranges of transverse momentum (pT). Figures taken from "Geometry in heavy ions: estimating an angular power spectrum".

Anyone simply interested in performing an angular power spectral analysis of heavy-ion collisions is welcome to use powspechi. Feel free to test your 3+1D theoretical models, to test on the Run 2 data of LHC, or to just have fun creating your own spharical maps and spectra! Any questions, just contact me at machado.meera@protonmail.com.

Prerequisites

In order to run powspechi, the HEALPix-based python package healpy should be installed. Preferably healpy >= 1.12.10, which can be installed as follows:

Conda

conda config --add channels conda-forge
conda install healpy

Pip

pip install --user healpy

Installing

In order to install powspechi, just follow the procedure below:

pip install powspechi

Documentation

Check the full documentation for the lastest version of powspechi here!

Tutorial

A Jupyter notebook tutorial along with some example files can be downloaded here; be warned that it is around 200 MB due to the example files. Alternatively, the tutorial can be visualized with Jupyter nbviewer here.

Publications

• Angular power spectrum of heavy ion collisions, by M. Machado, P.H. Damgaard, J.J. Gaardhoeje and C. Bourjau;
• Heavy ion anisotropies: a closer look at the angular power spectrum, by M. Machado