Hydrodynamic fluctuations, diffusion and correlation functions in systems of particles adsorbed on solid surfaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F24%3A00587256" target="_blank" >RIV/68378271:_____/24:00587256 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.susc.2024.122501" target="_blank" >https://doi.org/10.1016/j.susc.2024.122501</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.susc.2024.122501" target="_blank" >10.1016/j.susc.2024.122501</a>

Result language

angličtina

Original language name

Hydrodynamic fluctuations, diffusion and correlation functions in systems of particles adsorbed on solid surfaces

Original language description

We present the detailed derivation of the equations describing the evolution of the hydrodynamic fluctuations of the coverage of particles adsorbed on homogeneous lattices. Using the method of the non-equilibrium statistical operator, we reduce the balance equation governing the behavior of the individual particles to the diffusion equation. On a macroscopic level, this equation describes the approach to equilibrium of the hydrodynamic coverage fluctuations. We obtain the analytical expressions for the Fickian diffusivity and Onsager phenomenological coefficient. These expressions are derived with account of the lateral interaction between the particles. They are simple functions of the thermodynamic quantities — derivatives of the thermodynamic potential over its arguments. The transport coefficients accurately describe the development of fluctuations in the entire coverage region and in the wide range of lateral interactions. We presented an elementary introduction to the theory of fluctuations in the lattice gas systems. For calculations of the correlation function and spectral density of fluctuations, we use the Langevin approach and the method of moments. The exact coincidence of the analytical expressions for the diffusion coefficients obtained by the two independent calculations is the direct proof of the accuracy of the approach developed in Chumak and Tarasenko (1980).

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10403 - Physical chemistry

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Surface Science

ISSN

0039-6028

e-ISSN

1879-2758

Volume of the periodical

746

Issue of the periodical within the volume

Aug

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

5

Pages from-to

122501

UT code for WoS article

001236826000001

EID of the result in the Scopus database

2-s2.0-85191452033