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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BM - Solid-state physics and magnetism

OECD FORD branch

—

Project

—

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

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

Name of the periodical

Journal of Statistical Mechanics: Theory and Experiment

ISSN

1742-5468

e-ISSN

—

Volume of the periodical

2012

Issue of the periodical within the volume

01

Country of publishing house

GB - UNITED KINGDOM

Number of pages

15

Pages from-to

—

UT code for WoS article

000300903600027

EID of the result in the Scopus database

—