# Simulating chiral anomalies with spin dynamics

## TL;DR

This paper uses spin kinetic equations of motion to simulate chiral anomalies in a box system, revealing differences in chiral magnetic effects and wave damping compared to traditional chiral kinetic equations.

## Contribution

It introduces a novel simulation approach based on spin dynamics to study chiral anomalies, highlighting differences from conventional methods.

## Key findings

- Chiral magnetic effect is weaker in SEOM simulations.
- Damping of chiral magnetic wave is stronger with SEOM.
- Effects from chiral anomalies are less sensitive to magnetic field decay in SEOM.

## Abstract

Considering that the chiral kinetic equations of motion (CEOM) can be derived from the spin kinetic equations of motion (SEOM) for massless particles with approximations, we simulate the chiral anomalies by using the latter in a box system with the periodic boundary condition under a uniform external magnetic field. We found that the chiral magnetic effect is weaker while the damping of the chiral magnetic wave is stronger from the SEOM compared with that from the CEOM. In addition, effects induced by chiral anomalies from the SEOM are less sensitive to the decay of the magnetic field than from the CEOM due to the spin relaxation process.