Open-Source Numerical Solver for Neutrino Collective Effects -- I: Isotropic Neutrino Gas

TL;DR

This paper presents an open-source numerical code for simulating neutrino collective effects in isotropic gases, advancing the computational tools available for studying neutrino interactions in astrophysical environments.

Contribution

The paper introduces a new open-source code implementing polarization vector formalism for neutrino evolution, specifically addressing collective effects in isotropic neutrino gases.

Findings

Code successfully models neutrino evolution with collective effects

Results include mono-energetic and spectral neutrino distributions

Provides a foundation for future complex neutrino system simulations

Abstract

In this paper, we introduce a new open-source code to find numerical solutions for the neutrino evolution considering neutrino-neutrino interactions, which result in the so-called collective effects. We first describe the theoretical background of this type of evolution, explaining the polarization vector formalism in which we implement our numerical code. We then show the results for different neutrino systems. In this first paper, we focus on the case of an isotropic neutrino gas, exploring a mono-energetic scenario and one with a spectral distribution. The resulting code of this work is available at https://github.com/pedrodedin/Neutrino-Collective-Effects.