  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.
