Hot spots are small features that some authors suppose are created by a sudden local release of thermal energy. For example, the estimation of the energy involved in the formation of a 2 µm crater is 3 × 10–8 J or 2 × 105 MeV. Some theories attempting to explain these phenomena, and excess heat in general, involve the role of Exotic Neutral Particles (ENP), like Polyneutrons or Erzions. According to such theories, these ENPs are relatively rare. The problem investigated in this paper is whether a single particle may trigger a series of many reactions within a short time in solids that are properly loaded. A Monte-Carlo simulation has been written to study the potential behavior of ENPs. It is shown that the ENPs follow a developed and Brownian type movement. The number of reactions occurring at a given depth below the surface is calculated, as well as the probability for a series to exceed a given value. From a pure mathematical viewpoint, a parallel can be made between the diffusion laws and Brownian motion. It is shown that a small fraction of the ENP flux can trigger large series of reaction, to the point that the energy that can be produced is not limited if the ENP is stable as long as it is present in the lattice. It is necessary to introduce a limited lifetime with a decay to reconcile the model with the experimental observations. The discussion of the simulation results in the light of experimental data leads me to propose a mean free path on the order of 100 Å, and a lifetime in the nanosecond range. © 2017 ISCMNS. All rights reserved.