Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas

TL;DR

This paper explains how classical collisions in an ion trap lead to power-law distributions with tails described by Tsallis statistics, depending on buffer gas and ion mass ratios, matching experimental results.

Contribution

It introduces a statistical model showing how buffer gas interactions produce non-Maxwellian power-law distributions in trapped ions, aligning with experimental data.

Findings

Power-law tails depend on buffer gas to ion mass ratio.

Monte Carlo simulations match experimental distributions.

Distribution approximates a Tsallis form over various parameters.

Abstract

Classical collisions with an ideal gas generate non-Maxwellian distribution functions for a single ion in a radio frequency ion trap. The distributions have power-law tails whose exponent depends on the ratio of buffer gas to ion mass. This provides a statistical explanation for the previously observed transition from cooling to heating. Monte Carlo results approximate a Tsallis distribution over a wide range of parameters and have ab initio agreement with experiment.