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Communications in Theoretical Physics最新文献

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New lump solutions and several interaction solutions and their dynamics of a generalized (3+1)-dimensional nonlinear differential equation 广义 (3+1)- 维非线性微分方程的新块状解和若干交互解及其动力学特性
Communications in Theoretical Physics Pub Date : 2024-01-03 DOI: 10.1088/1572-9494/ad1a0d
Ye Feng, Zhonglong Zhao
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引用次数: 0
Physical informed memory networks for solving PDEs: Implementation and Applications 用于求解 PDE 的物理信息存储网络：实施与应用
Communications in Theoretical Physics Pub Date : 2024-01-03 DOI: 10.1088/1572-9494/ad1a0e
Jiuyun Sun, Huanhe Dong, Yong Fang
{"title":"Physical informed memory networks for solving PDEs: Implementation and Applications","authors":"Jiuyun Sun, Huanhe Dong, Yong Fang","doi":"10.1088/1572-9494/ad1a0e","DOIUrl":"https://doi.org/10.1088/1572-9494/ad1a0e","url":null,"abstract":"\u0000 With the advent of physics informed neural networks (PINNs), deep learning has gained interest for solving nonlinear partial differential equations (PDEs) in recent years. In this paper, physics informed memory networks (PIMNs) are proposed as a new approach to solve PDEs by using physical laws and dynamic behavior of PDEs. Unlike the fully connected structure of the PINNs, the PIMNs construct the long-term dependence of the dynamics behavior with the help of the long short-term memory network (LSTM). Meanwhile, the PDEs residuals are approximated using difference schemes in the form of convolution filter, which avoids information loss at the neighborhood of the sampling points. Finally, the performance of the PIMNs is assessed by solving the KdV equation and the nonlinear Schrödinger equation, and the effects of difference schemes, boundary conditions, network structure and mesh size on the solutions are discussed. Experiments show that the PIMNs are insensitive to boundary conditions and have excellent solution accuracy even with only the initial conditions.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"131 33","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139387594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Revisiting the island of hexadecapole-deformation nuclei in $A approx 150$ mass region: Focusing on the model application on nuclear shapes and masses 重新审视$A approx 150$ 质量区的十六极变形核岛：聚焦核形状和质量的模型应用
Communications in Theoretical Physics Pub Date : 2024-01-02 DOI: 10.1088/1572-9494/ad19d7
Xiao-Yang Wei, Hua-Lei Wang, Min-Liang Liu, Zhen-Zhen Zhang
{"title":"Revisiting the island of hexadecapole-deformation nuclei in $A approx 150$ mass region: Focusing on the model application on nuclear shapes and masses","authors":"Xiao-Yang Wei, Hua-Lei Wang, Min-Liang Liu, Zhen-Zhen Zhang","doi":"10.1088/1572-9494/ad19d7","DOIUrl":"https://doi.org/10.1088/1572-9494/ad19d7","url":null,"abstract":"\u0000 Based on the potential-energy-surface calculation, the impact of different deformation degrees of freedom on single-particle structure and binding energies in nuclei around $^{152}$Nd, located on one of the hexadecapole-deformation islands, is analyzed in a multi-dimensional deformation space. Various energy maps, curves and tables are presented to indicate nuclear properties. The calculated equilibrium deformations and binding energies with different potential parameters are compared with experimental data and other theories. It is found that the inclusion of the hexadecapole deformations, especially the axial one, can improve the theoretical description of both nuclear shapes and masses. In addition, our calculated potential-energy-curve shows that there exists a critical deformation-point $beta_2 approx 0.4$ -- the triaxial (hexadecapole) deformation-effect can be neglectable but the hexadecapole (triaxial) one plays an important role before (after) such critical point.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"17 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139390346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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