To the Theoretical Explanation of the “Universal Response”
Abstract
Abstract The observation of a universal response of electromagnetic, acoustic, and mechanical influences shows the existence of some transfer processes in a medium, which are not described by a usual diffusion equation. It is shown that these processes can be explained by making use of the diffusion equation taking into account the ‘non‐Marcovian’ character of the excitation transfer process. In accordance with the experimental data a memory function is found which in one limiting case describes pure diffusion (absence of memory) and in another case turns into the wave equation (full memory). A local field frequency distribution function is suggested which confirms the suppositions made. The conditions of the realisation of the transfer process with ‘remnant’ memory are found and described by a generalized linear transfer equations in fractional derivations.