# Thermal Diffusion and Quantum Chaos in Neutral Magnetized Plasma

## TL;DR

This paper investigates thermal diffusion and quantum chaos in neutral magnetized plasma using holography, revealing bounds on diffusion constants, magnetic field effects, and a pole-skipping phenomenon related to Lyapunov exponents.

## Contribution

It provides a holographic calculation of thermal diffusion and butterfly velocity in magnetized plasma, showing bounds and special points related to quantum chaos.

## Key findings

- Thermal diffusion constant satisfies Blake's bound.
- The bound's constant decreases with magnetic field, approaching 0.5.
- A pole-skipping point is identified related to Lyapunov exponent and butterfly velocity.

## Abstract

We calculate the thermal diffusion constant $D_T$ and butterfly velocity $v_B$ in neutral magnetized plasma using holographic magnetic brane background. We find the thermal diffusion constant satisfies Blake's bound. The constant in the bound $D_T2\pi T/v_B^2$ is a decreasing function of magnetic field. It approaches one half in the large magnetic field limit. We also find the existence of a special point defined by Lyapunov exponent and butterfly velocity on which pole-skipping phenomenon occurs.