Classical density functional theory: The local density approximation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00379690" target="_blank" >RIV/68407700:21340/25:00379690 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0129055X24500375" target="_blank" >https://doi.org/10.1142/S0129055X24500375</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0129055X24500375" target="_blank" >10.1142/S0129055X24500375</a>

Result language
angličtina
Original language name
Classical density functional theory: The local density approximation
Original language description
We prove that the lowest free energy of a classical interacting system at temperature T with a prescribed density profile rho(x) can be approximated by the local free energy integral f(T)(rho(x))dx, provided that rho varies slowly over sufficiently large length scales. A quantitative error on the difference is provided in terms of the gradient of the density. Here fT is the free energy per unit volume of an infinite homogeneous gas of the corresponding uniform density. The proof uses quantitative Ruelle bounds (estimates on the local number of particles in a large system), which are derived in an appendix.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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