Grand-Canonical Quantized Liquid Density-Functional Theory in a Car-Parrinello Implementation
Christian F. J. Walther, Serguei Patchkovskii, Thomas Heine

TL;DR
This paper reformulates Quantized Liquid Density-Functional Theory within the grand canonical ensemble, enabling direct thermodynamic comparisons and improving computational efficiency at low temperatures using a Car-Parrinello approach.
Contribution
The authors introduce a grand canonical formulation of QLDFT with a Car-Parrinello implementation, enhancing computational efficiency and enabling direct thermodynamic analysis.
Findings
Validated against original QLDFT results
Applied to model potentials and graphite slit pores
Achieved significant computational advantages at low temperatures
Abstract
Quantized Liquid Density-Functional Theory [Phys. Rev. E 2009, 80, 031603], a method developed to assess the adsorption of gas molecules in porous nanomaterials, is reformulated within the grand canonical ensemble. With the grand potential it is possible to compare directly external and internal thermodynamic quantities. In our new implementation, the grand potential is minimized utilizing the Car-Parrinello approach and gives, in particular for low temperature simulations, a significant computational advantage over the original canonical approaches. The method is validated against original QLDFT, and applied to model potentials and graphite slit pores.
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