Small-parameter series for the surface tension in a lattice model
For a lattice model a new method of description is proposed. It is based on the use of the particle number density and the vacancy number density simultaneously and makes it possible to use the well-known diagram technique of the theory of a classical liquid for two-phase states. In the low-temperat...
Gespeichert in:
Veröffentlicht in: | Theoretical and mathematical physics 1989-03, Vol.76:3 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | Theoretical and mathematical physics |
container_volume | 76:3 |
creator | Kuz'min, V.L. |
description | For a lattice model a new method of description is proposed. It is based on the use of the particle number density and the vacancy number density simultaneously and makes it possible to use the well-known diagram technique of the theory of a classical liquid for two-phase states. In the low-temperature region an expansion for the surface tension with respect to a small parameter is obtained. The critical temperature and critical exponent of the surface tension are determined by the standard methods from the coefficients of the low-temperature expansion. The problem of an adsorption layer is considered. |
format | Article |
fullrecord | <record><control><sourceid>osti</sourceid><recordid>TN_cdi_osti_scitechconnect_5394567</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>5394567</sourcerecordid><originalsourceid>FETCH-osti_scitechconnect_53945673</originalsourceid><addsrcrecordid>eNqNyk0KwjAQQOEgCtafOwzuAylpjF2KKO51X0Kc0EiaSGa8vy48gKsHH28mmtZYLXut9Vw0SnVKGmv7pVgRPZVqlTq0jTjeJpeSfLnqJmSsQFgjEoRSgUcEetfgPAJjplgyxAwOkmOOX5zKA9NGLIJLhNtf12J3Od9PV1mI40A-MvrRl5zR82B035m91X9NH_YhOpY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Small-parameter series for the surface tension in a lattice model</title><source>SpringerNature Journals</source><creator>Kuz'min, V.L.</creator><creatorcontrib>Kuz'min, V.L.</creatorcontrib><description>For a lattice model a new method of description is proposed. It is based on the use of the particle number density and the vacancy number density simultaneously and makes it possible to use the well-known diagram technique of the theory of a classical liquid for two-phase states. In the low-temperature region an expansion for the surface tension with respect to a small parameter is obtained. The critical temperature and critical exponent of the surface tension are determined by the standard methods from the coefficients of the low-temperature expansion. The problem of an adsorption layer is considered.</description><identifier>ISSN: 0040-5779</identifier><identifier>EISSN: 1573-9333</identifier><language>eng</language><publisher>United States</publisher><subject>656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-) ; 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics ; ADSORPTION ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; CLASSICAL MECHANICS ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; CRITICAL TEMPERATURE ; CRYSTAL DEFECTS ; CRYSTAL LATTICES ; CRYSTAL MODELS ; CRYSTAL STRUCTURE ; CRYSTALS ; DIAGRAMS ; FLUIDS ; FUNCTIONS ; GASES ; HAMILTONIANS ; INTERACTIONS ; ISING MODEL ; LIQUID CRYSTALS ; LIQUIDS ; MATHEMATICAL MODELS ; MATHEMATICAL OPERATORS ; MECHANICS ; PADE APPROXIMATION ; PARTICLE INTERACTIONS ; PARTITION FUNCTIONS ; PHASE DIAGRAMS ; PHYSICAL PROPERTIES ; POINT DEFECTS ; POTENTIALS ; QUANTUM OPERATORS ; SERIES EXPANSION ; SORPTION ; SURFACE PROPERTIES ; SURFACE TENSION ; THERMODYNAMIC PROPERTIES ; THERMODYNAMICS ; TRANSITION TEMPERATURE ; VACANCIES</subject><ispartof>Theoretical and mathematical physics, 1989-03, Vol.76:3</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/5394567$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Kuz'min, V.L.</creatorcontrib><title>Small-parameter series for the surface tension in a lattice model</title><title>Theoretical and mathematical physics</title><description>For a lattice model a new method of description is proposed. It is based on the use of the particle number density and the vacancy number density simultaneously and makes it possible to use the well-known diagram technique of the theory of a classical liquid for two-phase states. In the low-temperature region an expansion for the surface tension with respect to a small parameter is obtained. The critical temperature and critical exponent of the surface tension are determined by the standard methods from the coefficients of the low-temperature expansion. The problem of an adsorption layer is considered.</description><subject>656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)</subject><subject>657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics</subject><subject>ADSORPTION</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>CLASSICAL MECHANICS</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>CRITICAL TEMPERATURE</subject><subject>CRYSTAL DEFECTS</subject><subject>CRYSTAL LATTICES</subject><subject>CRYSTAL MODELS</subject><subject>CRYSTAL STRUCTURE</subject><subject>CRYSTALS</subject><subject>DIAGRAMS</subject><subject>FLUIDS</subject><subject>FUNCTIONS</subject><subject>GASES</subject><subject>HAMILTONIANS</subject><subject>INTERACTIONS</subject><subject>ISING MODEL</subject><subject>LIQUID CRYSTALS</subject><subject>LIQUIDS</subject><subject>MATHEMATICAL MODELS</subject><subject>MATHEMATICAL OPERATORS</subject><subject>MECHANICS</subject><subject>PADE APPROXIMATION</subject><subject>PARTICLE INTERACTIONS</subject><subject>PARTITION FUNCTIONS</subject><subject>PHASE DIAGRAMS</subject><subject>PHYSICAL PROPERTIES</subject><subject>POINT DEFECTS</subject><subject>POTENTIALS</subject><subject>QUANTUM OPERATORS</subject><subject>SERIES EXPANSION</subject><subject>SORPTION</subject><subject>SURFACE PROPERTIES</subject><subject>SURFACE TENSION</subject><subject>THERMODYNAMIC PROPERTIES</subject><subject>THERMODYNAMICS</subject><subject>TRANSITION TEMPERATURE</subject><subject>VACANCIES</subject><issn>0040-5779</issn><issn>1573-9333</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1989</creationdate><recordtype>article</recordtype><recordid>eNqNyk0KwjAQQOEgCtafOwzuAylpjF2KKO51X0Kc0EiaSGa8vy48gKsHH28mmtZYLXut9Vw0SnVKGmv7pVgRPZVqlTq0jTjeJpeSfLnqJmSsQFgjEoRSgUcEetfgPAJjplgyxAwOkmOOX5zKA9NGLIJLhNtf12J3Od9PV1mI40A-MvrRl5zR82B035m91X9NH_YhOpY</recordid><startdate>19890301</startdate><enddate>19890301</enddate><creator>Kuz'min, V.L.</creator><scope>OTOTI</scope></search><sort><creationdate>19890301</creationdate><title>Small-parameter series for the surface tension in a lattice model</title><author>Kuz'min, V.L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-osti_scitechconnect_53945673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1989</creationdate><topic>656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)</topic><topic>657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics</topic><topic>ADSORPTION</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>CLASSICAL MECHANICS</topic><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>CRITICAL TEMPERATURE</topic><topic>CRYSTAL DEFECTS</topic><topic>CRYSTAL LATTICES</topic><topic>CRYSTAL MODELS</topic><topic>CRYSTAL STRUCTURE</topic><topic>CRYSTALS</topic><topic>DIAGRAMS</topic><topic>FLUIDS</topic><topic>FUNCTIONS</topic><topic>GASES</topic><topic>HAMILTONIANS</topic><topic>INTERACTIONS</topic><topic>ISING MODEL</topic><topic>LIQUID CRYSTALS</topic><topic>LIQUIDS</topic><topic>MATHEMATICAL MODELS</topic><topic>MATHEMATICAL OPERATORS</topic><topic>MECHANICS</topic><topic>PADE APPROXIMATION</topic><topic>PARTICLE INTERACTIONS</topic><topic>PARTITION FUNCTIONS</topic><topic>PHASE DIAGRAMS</topic><topic>PHYSICAL PROPERTIES</topic><topic>POINT DEFECTS</topic><topic>POTENTIALS</topic><topic>QUANTUM OPERATORS</topic><topic>SERIES EXPANSION</topic><topic>SORPTION</topic><topic>SURFACE PROPERTIES</topic><topic>SURFACE TENSION</topic><topic>THERMODYNAMIC PROPERTIES</topic><topic>THERMODYNAMICS</topic><topic>TRANSITION TEMPERATURE</topic><topic>VACANCIES</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kuz'min, V.L.</creatorcontrib><collection>OSTI.GOV</collection><jtitle>Theoretical and mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kuz'min, V.L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Small-parameter series for the surface tension in a lattice model</atitle><jtitle>Theoretical and mathematical physics</jtitle><date>1989-03-01</date><risdate>1989</risdate><volume>76:3</volume><issn>0040-5779</issn><eissn>1573-9333</eissn><abstract>For a lattice model a new method of description is proposed. It is based on the use of the particle number density and the vacancy number density simultaneously and makes it possible to use the well-known diagram technique of the theory of a classical liquid for two-phase states. In the low-temperature region an expansion for the surface tension with respect to a small parameter is obtained. The critical temperature and critical exponent of the surface tension are determined by the standard methods from the coefficients of the low-temperature expansion. The problem of an adsorption layer is considered.</abstract><cop>United States</cop></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0040-5779 |
ispartof | Theoretical and mathematical physics, 1989-03, Vol.76:3 |
issn | 0040-5779 1573-9333 |
language | eng |
recordid | cdi_osti_scitechconnect_5394567 |
source | SpringerNature Journals |
subjects | 656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-) 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics ADSORPTION CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CLASSICAL MECHANICS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CRITICAL TEMPERATURE CRYSTAL DEFECTS CRYSTAL LATTICES CRYSTAL MODELS CRYSTAL STRUCTURE CRYSTALS DIAGRAMS FLUIDS FUNCTIONS GASES HAMILTONIANS INTERACTIONS ISING MODEL LIQUID CRYSTALS LIQUIDS MATHEMATICAL MODELS MATHEMATICAL OPERATORS MECHANICS PADE APPROXIMATION PARTICLE INTERACTIONS PARTITION FUNCTIONS PHASE DIAGRAMS PHYSICAL PROPERTIES POINT DEFECTS POTENTIALS QUANTUM OPERATORS SERIES EXPANSION SORPTION SURFACE PROPERTIES SURFACE TENSION THERMODYNAMIC PROPERTIES THERMODYNAMICS TRANSITION TEMPERATURE VACANCIES |
title | Small-parameter series for the surface tension in a lattice model |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T16%3A30%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-osti&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Small-parameter%20series%20for%20the%20surface%20tension%20in%20a%20lattice%20model&rft.jtitle=Theoretical%20and%20mathematical%20physics&rft.au=Kuz'min,%20V.L.&rft.date=1989-03-01&rft.volume=76:3&rft.issn=0040-5779&rft.eissn=1573-9333&rft_id=info:doi/&rft_dat=%3Costi%3E5394567%3C/osti%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |