Variational Principle for Mass Transport

Trinkle, Dallas R.

doi:10.1103/physrevlett.121.235901

Title: Variational Principle for Mass Transport

Journal Article · 02 December 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.121.235901 · OSTI ID:1609689

Trinkle, Dallas R. ^[1]

Univ. of Illinois, Urbana-Champaign, IL (United States); DOE/OSTI

A variation principle for mass transport in solids is derived that recasts transport coefficients as minima of local thermodynamic average quantities. The result is independent of diffusion mechanisms and applies to amorphous and crystalline systems. This unifies different computational approaches for diffusion and provides a framework for the creation of new approximation methods with error estimation. It gives a different physical interpretation of the Green function. Lastly, the variational principle quantifies the accuracy of competing approaches for a nontrivial diffusion problem.

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Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Office of Naval Research

Grant/Contract Number:: FG02-05ER46217

OSTI ID:: 1609689

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Variational Principle for Mass Transport

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