{"title":"Correlation Function of Equilibrium Thermal Pressure Fluctuations in Viscous Heat-Conducting Gas","authors":"M. A. Demyanov, V. F. Kopiev, M. A. Yudin","doi":"10.1134/S1063771024603108","DOIUrl":null,"url":null,"abstract":"<div><p>The problem of finding the spatiotemporal correlation function of pressure thermal fluctuations of gas near thermodynamic equilibrium is considered. The correlation function of pressure field equilibrium thermal fluctuations is obtained for viscous heat-conducting perfect gas filling an unbounded Euclidean space. The influence of the boundary on the correlation characteristics of thermal fluctuations of pressure is investigated using the example of a viscous isentropic perfect gas filling a small-section pipe with boundary conditions of a solid wall at the ends and periodic conditions for the case of a pipe closed in a circle.</p></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"240 - 252"},"PeriodicalIF":1.2000,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acoustical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063771024603108","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of finding the spatiotemporal correlation function of pressure thermal fluctuations of gas near thermodynamic equilibrium is considered. The correlation function of pressure field equilibrium thermal fluctuations is obtained for viscous heat-conducting perfect gas filling an unbounded Euclidean space. The influence of the boundary on the correlation characteristics of thermal fluctuations of pressure is investigated using the example of a viscous isentropic perfect gas filling a small-section pipe with boundary conditions of a solid wall at the ends and periodic conditions for the case of a pipe closed in a circle.
期刊介绍:
Acoustical Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It covers theoretical and experimental aspects of basic and applied acoustics: classical problems of linear acoustics and wave theory; nonlinear acoustics; physical acoustics; ocean acoustics and hydroacoustics; atmospheric and aeroacoustics; acoustics of structurally inhomogeneous solids; geological acoustics; acoustical ecology, noise and vibration; chamber acoustics, musical acoustics; acoustic signals processing, computer simulations; acoustics of living systems, biomedical acoustics; physical principles of engineering acoustics. The journal publishes critical reviews, original articles, short communications, and letters to the editor. It covers theoretical and experimental aspects of basic and applied acoustics. The journal welcomes manuscripts from all countries in the English or Russian language.