Range separation: the divide between local structures and field theories

Research output: Contribution to journalArticlepeer-review

Abstract

This work presents parallel histories of the development of two modern theories of condensed matter: the theory of electron structure in quantum mechanics, and the theory of liquid structure in statistical mechanics. Comparison shows that key revelations in both are not only remarkably similar, but even follow along a common thread of controversy that marks progress from antiquity through to the present. This theme appears as a creative tension between two competing philosophies, that of short range structure (atomistic models) on the one hand, and long range structure (continuum or density functional models) on the other. The timeline and technical content are designed to build up a set of key relations as guideposts for using density functional theories together with atomistic simulation.

Original languageEnglish
Pages (from-to)43-62
Number of pages20
JournalSubstantia
Volume3
Issue number1
DOIs
StatePublished - 2019
Externally publishedYes

Funding

I thank the anonymous reviewers for their comments and suggestions.

Keywords

  • Bayes’ theorem
  • Electronic structure
  • density functional theory
  • liquid state structure
  • molecular dynamics
  • vapor interface

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