Microscopic Origins of Macroscopic Behavior

TL;DR

This paper discusses the microscopic origins of macroscopic physical behavior, highlighting recent collaborative research and theoretical insights in mathematical physics.

Contribution

It presents new theoretical perspectives on how microscopic interactions lead to macroscopic phenomena, based on extensive collaborative work.

Findings

New insights into microscopic-macroscopic links

Theoretical framework for physical behavior

Collaborative research advances

Abstract

This article is mostly based on a talk I gave at the March 2021 meeting (virtual) of the American Physical Society on the occasion of receiving the Dannie Heineman prize for Mathematical Physics from the American Institute of Physics and the American Physical Society. I am greatly indebted to many colleagues for the results leading to this award. To name them all would take up all the space allotted to this article. (I have had more than 200 collaborators so far), I will therefore mention just a few: Michael Aizenman, Bernard Derrida, Shelly Goldstein, Elliott Lieb, Oliver Penrose, Errico Presutti, Gene Speer and Herbert Spohn. I am grateful to all of my collaborators, listed and unlisted. I would also like to acknowledge here long time support form the AFOSR and the NSF.