Surface diffusion near first-order phase transitions for a model on a triangular lattice

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00192384" target="_blank" >RIV/68407700:21110/12:00192384 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1088/1742-5468/2012/01/P01025" target="_blank" >http://dx.doi.org/10.1088/1742-5468/2012/01/P01025</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1742-5468/2012/01/P01025" target="_blank" >10.1088/1742-5468/2012/01/P01025</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Surface diffusion near first-order phase transitions for a model on a triangular lattice

Popis výsledku v původním jazyce

We rigorously study the thermodynamic factor of surface diffusion for a two-dimensional one-component lattice-gas system on a regular triangular lattice. First, we prove that four low-temperature phases exist in the system, their surface coverages being0, 1/3, 2/3 and 1, and that, depending on the interparticle interactions, a phase transition between any two of them can occur. Three of these transitions are shown to be of first order at low temperatures, while in the other three cases there is an infinite number of ground states, yielding in fact a residual entropy. Then, for the three first-order phase transitions, we provide explicit finite-size formulae for the free energy, surface coverage and isothermal susceptibility, showing their low-temperature dependence on the chemical potential and the total number of adsorption sites. Using these formulae, we numerically obtain the coverage dependence of the thermodynamic factor and compare it with analytical results.

Název v anglickém jazyce

Surface diffusion near first-order phase transitions for a model on a triangular lattice

Popis výsledku anglicky

We rigorously study the thermodynamic factor of surface diffusion for a two-dimensional one-component lattice-gas system on a regular triangular lattice. First, we prove that four low-temperature phases exist in the system, their surface coverages being0, 1/3, 2/3 and 1, and that, depending on the interparticle interactions, a phase transition between any two of them can occur. Three of these transitions are shown to be of first order at low temperatures, while in the other three cases there is an infinite number of ground states, yielding in fact a residual entropy. Then, for the three first-order phase transitions, we provide explicit finite-size formulae for the free energy, surface coverage and isothermal susceptibility, showing their low-temperature dependence on the chemical potential and the total number of adsorption sites. Using these formulae, we numerically obtain the coverage dependence of the thermodynamic factor and compare it with analytical results.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BM - Fyzika pevných látek a magnetismus

OECD FORD obor

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Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Journal of Statistical Mechanics: Theory and Experiment

ISSN

1742-5468

e-ISSN

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Svazek periodika

2012

Číslo periodika v rámci svazku

01

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

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Kód UT WoS článku

000300903600027

EID výsledku v databázi Scopus

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