{"title":"非理想尘埃组分行星等离子体中尘埃声波的非线性理论","authors":"Alexander E. Dubinov, Ilya N. Kitayev","doi":"10.1016/j.pss.2025.106199","DOIUrl":null,"url":null,"abstract":"<div><div>A non-ideal dusty planetary plasma was considered, consisting of a mixture of three gases – gases of inertialess electrons and ions, and a gas of negatively charged dust particles. Electrons and ions in the plasma were thought to be Boltzmann-distributed, and the dust gas obeyed the equation of state of the non-ideal gas previously deduced by Avinash. Stationary dust-acoustic waves DAWs in such plasma were studied for the first time. The study was carried out in the gas dynamic approach.</div><div>The linear theory of DAWs has been developed, within the framework of which a dispersion equation was derived and an exact expression for the linear velocity of a dust sound was obtained.</div><div>The non-linear theory of large amplitude DAWs in a non-ideal dust plasma based on the Bernoulli pseudopotential method was first developed. Pseudopotential analysis showed that stationary DAWs in the considered plasma can have the form of either a nonlinear periodic wave or the form of solitons. The wave velocity ranges in these two forms are defined.</div><div>The dependence of the maximum velocity of DA-solitons and the maximum Mach number on the value of the parameter of non-ideality is calculated. It was also found that with an increase of the parameter of non-ideality, the amplitude of the extreme soliton decreases, and its width at half-maximum practically does not depend on this parameter.</div><div>The developed theory can be used to describe DAWs appearing in dense non-ideal plasmas near planets, their satellites and comets.</div></div>","PeriodicalId":20054,"journal":{"name":"Planetary and Space Science","volume":"268 ","pages":"Article 106199"},"PeriodicalIF":1.7000,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear theory of dust-acoustic waves in planetary plasmas with non-ideal dust fraction\",\"authors\":\"Alexander E. Dubinov, Ilya N. Kitayev\",\"doi\":\"10.1016/j.pss.2025.106199\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A non-ideal dusty planetary plasma was considered, consisting of a mixture of three gases – gases of inertialess electrons and ions, and a gas of negatively charged dust particles. Electrons and ions in the plasma were thought to be Boltzmann-distributed, and the dust gas obeyed the equation of state of the non-ideal gas previously deduced by Avinash. Stationary dust-acoustic waves DAWs in such plasma were studied for the first time. The study was carried out in the gas dynamic approach.</div><div>The linear theory of DAWs has been developed, within the framework of which a dispersion equation was derived and an exact expression for the linear velocity of a dust sound was obtained.</div><div>The non-linear theory of large amplitude DAWs in a non-ideal dust plasma based on the Bernoulli pseudopotential method was first developed. Pseudopotential analysis showed that stationary DAWs in the considered plasma can have the form of either a nonlinear periodic wave or the form of solitons. The wave velocity ranges in these two forms are defined.</div><div>The dependence of the maximum velocity of DA-solitons and the maximum Mach number on the value of the parameter of non-ideality is calculated. It was also found that with an increase of the parameter of non-ideality, the amplitude of the extreme soliton decreases, and its width at half-maximum practically does not depend on this parameter.</div><div>The developed theory can be used to describe DAWs appearing in dense non-ideal plasmas near planets, their satellites and comets.</div></div>\",\"PeriodicalId\":20054,\"journal\":{\"name\":\"Planetary and Space Science\",\"volume\":\"268 \",\"pages\":\"Article 106199\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Planetary and Space Science\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0032063325001667\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Planetary and Space Science","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0032063325001667","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Nonlinear theory of dust-acoustic waves in planetary plasmas with non-ideal dust fraction
A non-ideal dusty planetary plasma was considered, consisting of a mixture of three gases – gases of inertialess electrons and ions, and a gas of negatively charged dust particles. Electrons and ions in the plasma were thought to be Boltzmann-distributed, and the dust gas obeyed the equation of state of the non-ideal gas previously deduced by Avinash. Stationary dust-acoustic waves DAWs in such plasma were studied for the first time. The study was carried out in the gas dynamic approach.
The linear theory of DAWs has been developed, within the framework of which a dispersion equation was derived and an exact expression for the linear velocity of a dust sound was obtained.
The non-linear theory of large amplitude DAWs in a non-ideal dust plasma based on the Bernoulli pseudopotential method was first developed. Pseudopotential analysis showed that stationary DAWs in the considered plasma can have the form of either a nonlinear periodic wave or the form of solitons. The wave velocity ranges in these two forms are defined.
The dependence of the maximum velocity of DA-solitons and the maximum Mach number on the value of the parameter of non-ideality is calculated. It was also found that with an increase of the parameter of non-ideality, the amplitude of the extreme soliton decreases, and its width at half-maximum practically does not depend on this parameter.
The developed theory can be used to describe DAWs appearing in dense non-ideal plasmas near planets, their satellites and comets.
期刊介绍:
Planetary and Space Science publishes original articles as well as short communications (letters). Ground-based and space-borne instrumentation and laboratory simulation of solar system processes are included. The following fields of planetary and solar system research are covered:
• Celestial mechanics, including dynamical evolution of the solar system, gravitational captures and resonances, relativistic effects, tracking and dynamics
• Cosmochemistry and origin, including all aspects of the formation and initial physical and chemical evolution of the solar system
• Terrestrial planets and satellites, including the physics of the interiors, geology and morphology of the surfaces, tectonics, mineralogy and dating
• Outer planets and satellites, including formation and evolution, remote sensing at all wavelengths and in situ measurements
• Planetary atmospheres, including formation and evolution, circulation and meteorology, boundary layers, remote sensing and laboratory simulation
• Planetary magnetospheres and ionospheres, including origin of magnetic fields, magnetospheric plasma and radiation belts, and their interaction with the sun, the solar wind and satellites
• Small bodies, dust and rings, including asteroids, comets and zodiacal light and their interaction with the solar radiation and the solar wind
• Exobiology, including origin of life, detection of planetary ecosystems and pre-biological phenomena in the solar system and laboratory simulations
• Extrasolar systems, including the detection and/or the detectability of exoplanets and planetary systems, their formation and evolution, the physical and chemical properties of the exoplanets
• History of planetary and space research