{"title":"论兰道-利夫希茨方程的广义化问题","authors":"S. O. Gladkov","doi":"10.1134/S1063783424600432","DOIUrl":null,"url":null,"abstract":"<p>Using the method of compiling an expression invariant with respect to the operations of inversion of time and coordinates for the energy of a magnetic structure under the influence of some external effective field which is considered an independent vector parameter of the problem, a system of differential equations generalized the Landau–Lifshitz and Hilbert results is obtained. When obtaining these equations, the explicit expression for the dissipative function are obtained taking into account the pseudovector the nature of the magnetic field strength. The analysis of the obtained equations for the case of strong magnetic fields is carried out and the possibility of the existence of practically continuous oscillations of the magnetization at a frequency <span>\\(\\bar {\\omega }\\)</span> = <span>\\(\\xi {{\\gamma }_{e}}{{M}_{0}}\\)</span> (where coefficient ξ is greater than unity) is predicted.</p>","PeriodicalId":731,"journal":{"name":"Physics of the Solid State","volume":"66 2","pages":"38 - 41"},"PeriodicalIF":0.9000,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Problem of Generalization of the Landau–Lifshitz Equation\",\"authors\":\"S. O. Gladkov\",\"doi\":\"10.1134/S1063783424600432\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Using the method of compiling an expression invariant with respect to the operations of inversion of time and coordinates for the energy of a magnetic structure under the influence of some external effective field which is considered an independent vector parameter of the problem, a system of differential equations generalized the Landau–Lifshitz and Hilbert results is obtained. When obtaining these equations, the explicit expression for the dissipative function are obtained taking into account the pseudovector the nature of the magnetic field strength. The analysis of the obtained equations for the case of strong magnetic fields is carried out and the possibility of the existence of practically continuous oscillations of the magnetization at a frequency <span>\\\\(\\\\bar {\\\\omega }\\\\)</span> = <span>\\\\(\\\\xi {{\\\\gamma }_{e}}{{M}_{0}}\\\\)</span> (where coefficient ξ is greater than unity) is predicted.</p>\",\"PeriodicalId\":731,\"journal\":{\"name\":\"Physics of the Solid State\",\"volume\":\"66 2\",\"pages\":\"38 - 41\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics of the Solid State\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063783424600432\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Solid State","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063783424600432","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
On the Problem of Generalization of the Landau–Lifshitz Equation
Using the method of compiling an expression invariant with respect to the operations of inversion of time and coordinates for the energy of a magnetic structure under the influence of some external effective field which is considered an independent vector parameter of the problem, a system of differential equations generalized the Landau–Lifshitz and Hilbert results is obtained. When obtaining these equations, the explicit expression for the dissipative function are obtained taking into account the pseudovector the nature of the magnetic field strength. The analysis of the obtained equations for the case of strong magnetic fields is carried out and the possibility of the existence of practically continuous oscillations of the magnetization at a frequency \(\bar {\omega }\) = \(\xi {{\gamma }_{e}}{{M}_{0}}\) (where coefficient ξ is greater than unity) is predicted.
期刊介绍:
Presents the latest results from Russia’s leading researchers in condensed matter physics at the Russian Academy of Sciences and other prestigious institutions. Covers all areas of solid state physics including solid state optics, solid state acoustics, electronic and vibrational spectra, phase transitions, ferroelectricity, magnetism, and superconductivity. Also presents review papers on the most important problems in solid state physics.