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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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).

Název v anglickém jazyce

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

Popis výsledku anglicky

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).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10403 - Physical chemistry

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Surface Science

ISSN

0039-6028

e-ISSN

1879-2758

Svazek periodika

746

Číslo periodika v rámci svazku

Aug

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

5

Strana od-do

122501

Kód UT WoS článku

001236826000001

EID výsledku v databázi Scopus

2-s2.0-85191452033