Mechanism for Powerlaws without Self-Organization

Abstract

A recent claim has been made in the journal Nature that there must be a self-regulation in the waiting times to see hospital consultants on the ground that the relative changes in the size of waiting lists follow a power law. In agreement with simulations of Frecketon and Sutherland, we explain the general non-self-regulating mechanism underlying this result and derive the exact value -2 of the exponent found empirically and numerically. In addition, we provide links with related phenomena encountered in many other fields.Comment: Latex document of 3 pages, no figures, in press in Int. J. Mod. Phys.