The Library
Locality of the Thomas-Fermi-von Weizsäcker Equations
Tools
Tools
Tools
Nazar, Faizan Q. and Ortner, Christoph (2016) Locality of the Thomas-Fermi-von Weizsäcker Equations. Archive for Rational Mechanics and Analysis, 224 (3). 817. doi:10.1007/s00205-017-1075-6
|
PDF
WRAP_art%3A10.1007%2Fs00205-017-1075-6.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (1260Kb) | Preview |
|
![[img]](http://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
WRAP_maths-080117-paper_1_-_joint_version_3.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (606Kb) |
Official URL: http://doi.org/10.1007/s00205-017-1075-6
Abstract
We establish a pointwise stability estimate for the Thomas-Fermi-von Weizs\"acker (TFW) model, which demonstrates that a local perturbation of a nuclear arrangement results also in a local response in the electron density and electrostatic potential. The proof adapts the arguments for existence and uniqueness of solutions to the TFW equations in the thermodynamic limit by Catto et al. (1998).
To demonstrate the utility of this combined locality and stability result we derive several consequences, including an exponential convergence rate for the thermodynamic limit, partition of total energy into exponentially localised site energies (and consequently, exponential locality of forces), and generalised and strengthened results on the charge neutrality of local defects.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Differential equations, Nonlinear -- Numerical solutions., Thomas-Fermi theory., Quantum theory., Mathematical physics. | ||||||
| Journal or Publication Title: | Archive for Rational Mechanics and Analysis | ||||||
| Publisher: | Springer | ||||||
| ISSN: | 0003-9527 | ||||||
| Official Date: | June 2016 | ||||||
| Dates: |
|
||||||
| Date of first compliant deposit: | 9 January 2017 | ||||||
| Volume: | 224 | ||||||
| Number: | 3 | ||||||
| Article Number: | 817 | ||||||
| DOI: | 10.1007/s00205-017-1075-6 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access | ||||||
| Related URLs: | |||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
