SCATTERING INVOLVING PROMPT AND EQUILIBRATED COMPONENTS, INFORMATION THEORY, AND CHAOTIC QUANTUM DOTS

Abstract

We propose an information-theoretic statistical model to describe the universal features of those chaotic scattering processes characterized by a prompt and an equilibrated component. The model, introduced in the past in nuclear physics, incorporates the average value of the scattering matrix to describe the prompt processes, and satisfies the requirements of flux conservation, causality, and ergodicity. We show that the model successfully describes electronic transport through chaotic quantum dots. The predicted distribution of the conductance may show a remarkable two-peak structure.