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Computation 2016, 4(2), 16; doi:10.3390/computation4020016

Current Issues in Finite-T Density-Functional Theory and Warm-Correlated Matter †

1
National Research Council of Canada, 1200, Montreal Rd, Ottawa, ON K1A 0R6, Canada
2
Département de Physique, Université de Montreal, Montreal, QC H3C 3J7, Canada
This paper is an extended version of our paper published in “Current Issues in Finite-T Density-Functional Theory and Warm-Correlated Matter”. In Proceedings of the 16th International Conference on Density Functional Theory and Its Applications, Celebrating the 50th Anniversary of the Kohn-Sham Theory, Debrecen, Hungary, 31 August–4 September 2015.
Academic Editors: Karlheinz Schwarz and Agnes Nagy
Received: 18 February 2016 / Revised: 14 March 2016 / Accepted: 16 March 2016 / Published: 28 March 2016
View Full-Text   |   Download PDF [322 KB, uploaded 28 March 2016]   |  

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Abstract

Finite-temperature density functional theory (DFT) has become of topical interest, partly due to the increasing ability to create novel states of warm-correlated matter (WCM).Warm-dense matter (WDM), ultra-fast matter (UFM), and high-energy density matter (HEDM) may all be regarded as subclasses of WCM. Strong electron-electron, ion-ion and electron-ion correlation effects and partial degeneracies are found in these systems where the electron temperature Te is comparable to the electron Fermi energy EF. Thus, many electrons are in continuum states which are partially occupied. The ion subsystem may be solid, liquid or plasma, with many states of ionization with ionic charge Zj. Quasi-equilibria with the ion temperature Ti Te are common. The ion subsystem in WCM can no longer be treated as a passive “external potential”, as is customary in T = 0 DFT dominated by solid-state theory or quantum chemistry. Many basic questions arise in trying to implement DFT for WCM. Hohenberg-Kohn-Mermin theory can be adapted for treating these systems if suitable finite-T exchange-correlation (XC) functionals can be constructed. They are functionals of both the one-body electron density ne and the one-body ion densities ρj. Here, j counts many species of nuclei or charge states. A method of approximately but accurately mapping the quantum electrons to a classical Coulomb gas enables one to treat electron-ion systems entirely classically at any temperature and arbitrary spin polarization, using exchange-correlation effects calculated in situ, directly from the pair-distribution functions. This eliminates the need for any XC-functionals. This classical map has been used to calculate the equation of state of WDM systems, and construct a finite-T XC functional that is found to be in close agreement with recent quantum path-integral simulation data. In this review, current developments and concerns in finite-T DFT, especially in the context of non-relativistic warm-dense matter and ultra-fast matter will be presented. View Full-Text
Keywords: exchange and correlation; warm dense matter; density functional theory; ultra-fast matter; high-energy density matter; finite-temperature effects exchange and correlation; warm dense matter; density functional theory; ultra-fast matter; high-energy density matter; finite-temperature effects
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Dharma-wardana, M.W.C. Current Issues in Finite-T Density-Functional Theory and Warm-Correlated Matter †. Computation 2016, 4, 16.

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