Exact relations and links for two-dimensional thermoelectric composites

TL;DR

This paper presents comprehensive exact relations and links for two-dimensional thermoelectric composites, providing valuable theoretical insights despite being in an unfinished manuscript form.

Contribution

It offers a complete set of exact relations and links for 2D thermoelectric composites, advancing theoretical understanding in this field.

Findings

Derived all exact relations for 2D thermoelectric composites

Identified key links connecting composite properties

Summarized results in concise, accessible form

Abstract

This is a report of the massive multi-year effort by the author and two graduate students Huilin Chen and Sarah Childs to compute all exact relations and links for two-dimensional thermoelectric composites. At the moment I have no time to prepare a proper "archival quality" manuscript with a good introduction and references. However, I believe that the results, concisely summarized in the last three sections of this report, should be made available to the research community even in this unfinished form.