深进入亚稳区的铝的熔融相和结晶相的状态方程

Vladimir Ivanovich Mazhukin, Mikhail Mikhailovich Demin, Aleksandr Viktorovich Shapranov, Olga Nikolaevna Koroleva, Alexander Vladimirovich Mazhukin
{"title":"深进入亚稳区的铝的熔融相和结晶相的状态方程","authors":"Vladimir Ivanovich Mazhukin, Mikhail Mikhailovich Demin, Aleksandr Viktorovich Shapranov, Olga Nikolaevna Koroleva, Alexander Vladimirovich Mazhukin","doi":"10.20948/mathmontis-2023-57-6","DOIUrl":null,"url":null,"abstract":"The article is devoted to the problem of constructing equations of state with deep entry into metastable regions (overheating/undercooling) of the molten and crystalline phases of aluminum. For mathematical modeling of hydrodynamic processes, the knowledge of the equations of state is the source of the most important information about the dependence of the thermodynamic properties of a substance on the microscopic internal structure. Moreover, for modeling, the equations of state are required in the form of smooth analytical dependencies with the characteristics of metastable states. Molecular dynamics simulation was used as the main tool for obtaining the equations of state. Based on the results of molecular dynamics calculations, the work obtained mutually consistent single-phase equations of state for molten and crystalline aluminum in tabular form. For tabular values, the approximating analytical dependences of low degrees were obtained. The results are presented in the form of tables and graphs. The thermodynamic consistency of the resulting equations is investigated. The simulation results of this work are compared with the equations of state for aluminum obtained by other authors.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Equations of state of the molten and crystalline phases of aluminum with deep entry into metastable regions\",\"authors\":\"Vladimir Ivanovich Mazhukin, Mikhail Mikhailovich Demin, Aleksandr Viktorovich Shapranov, Olga Nikolaevna Koroleva, Alexander Vladimirovich Mazhukin\",\"doi\":\"10.20948/mathmontis-2023-57-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article is devoted to the problem of constructing equations of state with deep entry into metastable regions (overheating/undercooling) of the molten and crystalline phases of aluminum. For mathematical modeling of hydrodynamic processes, the knowledge of the equations of state is the source of the most important information about the dependence of the thermodynamic properties of a substance on the microscopic internal structure. Moreover, for modeling, the equations of state are required in the form of smooth analytical dependencies with the characteristics of metastable states. Molecular dynamics simulation was used as the main tool for obtaining the equations of state. Based on the results of molecular dynamics calculations, the work obtained mutually consistent single-phase equations of state for molten and crystalline aluminum in tabular form. For tabular values, the approximating analytical dependences of low degrees were obtained. The results are presented in the form of tables and graphs. The thermodynamic consistency of the resulting equations is investigated. The simulation results of this work are compared with the equations of state for aluminum obtained by other authors.\",\"PeriodicalId\":170315,\"journal\":{\"name\":\"Mathematica Montisnigri\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Montisnigri\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20948/mathmontis-2023-57-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Montisnigri","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20948/mathmontis-2023-57-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文研究了铝的熔融相和结晶相深度进入亚稳区(过热/过冷)时的状态方程的建立问题。对于流体动力学过程的数学建模,状态方程的知识是关于物质的热力学性质对微观内部结构的依赖的最重要信息的来源。此外,为了进行建模,需要状态方程以具有亚稳态特征的光滑解析依赖形式存在。分子动力学模拟是获得状态方程的主要工具。基于分子动力学计算结果,得到了熔融铝和结晶铝相互一致的单相状态方程。对于表值,得到了近似的低度解析相关性。结果以表格和图表的形式呈现。研究了所得方程的热力学一致性。本文的模拟结果与其他作者得到的铝的状态方程进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Equations of state of the molten and crystalline phases of aluminum with deep entry into metastable regions
The article is devoted to the problem of constructing equations of state with deep entry into metastable regions (overheating/undercooling) of the molten and crystalline phases of aluminum. For mathematical modeling of hydrodynamic processes, the knowledge of the equations of state is the source of the most important information about the dependence of the thermodynamic properties of a substance on the microscopic internal structure. Moreover, for modeling, the equations of state are required in the form of smooth analytical dependencies with the characteristics of metastable states. Molecular dynamics simulation was used as the main tool for obtaining the equations of state. Based on the results of molecular dynamics calculations, the work obtained mutually consistent single-phase equations of state for molten and crystalline aluminum in tabular form. For tabular values, the approximating analytical dependences of low degrees were obtained. The results are presented in the form of tables and graphs. The thermodynamic consistency of the resulting equations is investigated. The simulation results of this work are compared with the equations of state for aluminum obtained by other authors.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信