{"title":"Thermodynamics of Irreversible Processes in the Isothermal Catalyst Grain","authors":"A. P. Gerasev","doi":"10.1134/S0036024425700815","DOIUrl":null,"url":null,"abstract":"<p>A numerical analysis of local and total entropy production in the simplest linear and nonlinear reaction-diffusion systems depending on the boundary and initial conditions has been performed. It is shown that the results of calculations for linear and nonlinear differential equations for large values of the equilibrium constant are practically indistinguishable. It was established that the total entropy production in a system is not a problem solution functional possessing extreme properties. As a selective potential with extreme properties it is possible to use entropy production in the system only due to one of the irreversible processes—diffusion or reaction.</p>","PeriodicalId":767,"journal":{"name":"Russian Journal of Physical Chemistry A","volume":"99 7","pages":"1461 - 1467"},"PeriodicalIF":0.8000,"publicationDate":"2025-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Physical Chemistry A","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1134/S0036024425700815","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A numerical analysis of local and total entropy production in the simplest linear and nonlinear reaction-diffusion systems depending on the boundary and initial conditions has been performed. It is shown that the results of calculations for linear and nonlinear differential equations for large values of the equilibrium constant are practically indistinguishable. It was established that the total entropy production in a system is not a problem solution functional possessing extreme properties. As a selective potential with extreme properties it is possible to use entropy production in the system only due to one of the irreversible processes—diffusion or reaction.
期刊介绍:
Russian Journal of Physical Chemistry A. Focus on Chemistry (Zhurnal Fizicheskoi Khimii), founded in 1930, offers a comprehensive review of theoretical and experimental research from the Russian Academy of Sciences, leading research and academic centers from Russia and from all over the world.
Articles are devoted to chemical thermodynamics and thermochemistry, biophysical chemistry, photochemistry and magnetochemistry, materials structure, quantum chemistry, physical chemistry of nanomaterials and solutions, surface phenomena and adsorption, and methods and techniques of physicochemical studies.