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Density functionals for inhomogeneous systems

Oberseminar Darmstadt

Datum: 01.12.2022

Zeit: 16:15–18:00 Uhr

Abstract: We compute free energy functionals as power series in infinite dimensional spaces. We provide a rigorous framework to prove validity of density functionals for inhomogeneous, non-translation invariant systems with applications in classical density functional theory, liquid crystals, molecules with various shapes or other degrees of freedom. We use cluster expansions and compare them to large deviations techniques. A key technical tool is a combinatorial identity for trees which allows us to obtain convergence estimates in situations  where Banach inversion fails. This is joint work with Sabine Jansen and Tobias Kuna.



Referent

Dimitrios Tsagkarogiannis, Università degli Studi dell´Aquila

Ort

TU Darmstadt S2|15 Raum 401
Schlossgartenstr. 7, 64289 Darmstadt

Veranstalter

Technische Universität Darmstadt

Fachbereich Mathematik - Stochastik
Schlossgartenstraße 7
64289 Darmstadt
Telefon: +49 6151 16-23380
Telefax: +49 6151 16-23381
info(at)stochastik-rhein-mainde


Kooperationspartner

Goethe-Universität Frankfurt am Main, Johannes Gutenberg-Universität Mainz

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