Particle yields from numerical simulations

TL;DR

This paper uses numerical simulations in classical and quantum field models to analyze particle yields, showing deviations from exponential distributions and fitting Tsallis-Pareto-like functions, aligning with experimental data.

Contribution

It demonstrates that local particle creation models naturally produce non-exponential distributions, supported by simulations in classical and quantum field theories.

Findings

Deviation from pure exponential distribution occurs even in equilibrium

Tsallis-Pareto-like distribution fits simulated yields well

Simulation results align with experimental observations

Abstract

In this paper we use numerical simulations to calculate the particle yields. We demonstrate that in the model of local particle creation the deviation from the pure exponential distribution is natural even in equilibrium, and an approximate Tsallis-Pareto-like distribution function can be well fitted to the calculated yields, in accordance with the experimental observations. We present numerical simulations in classical $\Phi^4$ model as well as in the SU(3) quantum Yang-Mills theory to clarify this issue.