Ginzburg-Landau Theory of the Quantum Condensate and Its Topological Matter(量子凝聚体及其拓扑物态的 Ginzburg-Landau理论)

作者: [以色列] 巴鲁赫·儒森斯坦(Baruch Rosenstein)李定平

出版社: 北京大学出版社

出版时间: 2018-09

版次: 1

ISBN: 9787301297087

定价: 90.00

装帧: 其他

开本: 16开

分类: 自然科学

《量子凝聚体及其拓扑物态的 Ginzburg-Landau理论》从Ginzburg - Landau理论出发，讨论了电磁场中的第二类超导体的热力学。运用对于刻画正常相变线的参数的展开，导出了 Abrikosov 磁通格子解。本书在细节上确定了磁场中的涡旋物质的相图。在存在介观尺度显著热涨落的情况下，涡旋晶体融化成涡旋液体。运用* 低朗道能级近似，本书给出了热涨落的定量理论，这使得确定融化线、融化中的不连续现象以及涡旋液态的一些重要性质成为可能。在存在淬致无序的情况下，涡旋物质会获得某些玻璃样的性质。本书还运用"replica"方法研究了不可逆线和涡旋玻璃态的静态性质。本书详细介绍了大部分解析方法。各种定量和定性的结果都和第二类超导体的实验结果做了对比。儒森斯坦研究经历包括诺贝尔得奖Steve Weinberg小组等。从1997年开始是中国台湾新竹“”交通大学“”电子物理学教授。研究领域包括场论，临界现象和凝聚态理论物理，在国际著名杂志发表多篇文章。李定平教授博士就读于意大利Trieste高等研究学院。博士后经历包括意大利核物理国家研究所等。2003年开始为北京大学教授。研究领域是凝聚态理论物理，在国际著名杂志发表多篇文章。 1 Introduction and Overview

Part I Ordered Phases of Condensed Matter Disrupted by

Topological Defects

2 The Phenomenological (Landau) Description of the Ordered Condensed

Matter from Magnets to Bose Condensates

3 Simplest Topological Defects

?4 Topological Defects and Their Classification

Part II Structure of the Topological Matter Created by

Gauge Field

5 Repulsion between Solitons and Viable Vortex Matter Created by a Gauge Field?

6 Finite Energy of Abrikosov Vortices Created by the Magnetic Field

7 Structure and Magnetization of the Vortex Lattice within London

Approximation

?8 Structure and Magnetization of the Vortex Lattice within Abrikosov

Approximation

Part III Excitation Modes of Condensate: Elasticity and Stability of the Topological Matter

9 Linear Stability Analysis of the Homogeneous States

10 Stability and the Excitation Spectrum of the Single Soliton and the Vortex Lattice

11 Forces on Solitons, Pinning and Elasticity of the Vortex Matter

Part IV Dynamics of Condensates and Solitary Waves

12 Dynamics of the Order Parameter Field

13 Solitary Waves

?14 Viscous Flow of the Abrikosov Flux Lattice

Part V Thermal Fluctuations

15 Statistical Physics of Mesoscopic Degrees of Freedom

16 The Landau-Wilson Approach to Statistical Physics of the Interacting Field Fluctuations

17 Thermal Fluctuations in the Vortex Matter

Appendix

1 Abrikosov quasi-momentum functions averages

2 Calculation of gaussian integrals

3 Sparse matrices and their determinants

General References
内容简介:
《量子凝聚体及其拓扑物态的 Ginzburg-Landau理论》从Ginzburg - Landau理论出发，讨论了电磁场中的第二类超导体的热力学。运用对于刻画正常相变线的参数的展开，导出了 Abrikosov 磁通格子解。本书在细节上确定了磁场中的涡旋物质的相图。在存在介观尺度显著热涨落的情况下，涡旋晶体融化成涡旋液体。运用* 低朗道能级近似，本书给出了热涨落的定量理论，这使得确定融化线、融化中的不连续现象以及涡旋液态的一些重要性质成为可能。在存在淬致无序的情况下，涡旋物质会获得某些玻璃样的性质。本书还运用"replica"方法研究了不可逆线和涡旋玻璃态的静态性质。本书详细介绍了大部分解析方法。各种定量和定性的结果都和第二类超导体的实验结果做了对比。
作者简介:
儒森斯坦研究经历包括诺贝尔得奖Steve Weinberg小组等。从1997年开始是中国台湾新竹“”交通大学“”电子物理学教授。研究领域包括场论，临界现象和凝聚态理论物理，在国际著名杂志发表多篇文章。李定平教授博士就读于意大利Trieste高等研究学院。博士后经历包括意大利核物理国家研究所等。2003年开始为北京大学教授。研究领域是凝聚态理论物理，在国际著名杂志发表多篇文章。
目录:
1 Introduction and Overview

Part I Ordered Phases of Condensed Matter Disrupted by

Topological Defects

2 The Phenomenological (Landau) Description of the Ordered Condensed

Matter from Magnets to Bose Condensates

3 Simplest Topological Defects

?4 Topological Defects and Their Classification

Part II Structure of the Topological Matter Created by

Gauge Field

5 Repulsion between Solitons and Viable Vortex Matter Created by a Gauge Field?

6 Finite Energy of Abrikosov Vortices Created by the Magnetic Field

7 Structure and Magnetization of the Vortex Lattice within London

Approximation

?8 Structure and Magnetization of the Vortex Lattice within Abrikosov

Approximation

Part III Excitation Modes of Condensate: Elasticity and Stability of the Topological Matter

9 Linear Stability Analysis of the Homogeneous States

10 Stability and the Excitation Spectrum of the Single Soliton and the Vortex Lattice

11 Forces on Solitons, Pinning and Elasticity of the Vortex Matter

Part IV Dynamics of Condensates and Solitary Waves

12 Dynamics of the Order Parameter Field

13 Solitary Waves

?14 Viscous Flow of the Abrikosov Flux Lattice

Part V Thermal Fluctuations

15 Statistical Physics of Mesoscopic Degrees of Freedom

16 The Landau-Wilson Approach to Statistical Physics of the Interacting Field Fluctuations

17 Thermal Fluctuations in the Vortex Matter

Appendix

1 Abrikosov quasi-momentum functions averages

2 Calculation of gaussian integrals

3 Sparse matrices and their determinants

General References