Concentration-of-Measure Theory for Structures and Fluctuations of Waves
文献类型：期刊论文
| 作者 | Fang, P1,2; Zhao, LY; Tian, CS
|
| 刊名 | PHYSICAL REVIEW LETTERS
 |
| 出版日期 | 2018 |
| 卷号 | 121期号:14页码:140603 |
| 关键词 | UNIVERSAL CONDUCTANCE FLUCTUATIONS RANDOM-MATRIX THEORY STATISTICAL-MECHANICS DISORDERED CONDUCTORS MULTIPLE-SCATTERING QUANTUM CHAOS TRANSMISSION THERMALIZATION DIFFUSION SYSTEMS |
| ISSN号 | 0031-9007 |
| DOI | 10.1103/PhysRevLett.121.140603 |
| 英文摘要 | The emergence of nonequilibrium phenomena in individual complex wave systems has long been of fundamental interest. Its analytic studies remain notoriously difficult. Using the mathematical tool of the concentration of measure, we develop a theory for structures and fluctuations of waves in individual disordered media. We find that, for both diffusive and localized waves, fluctuations associated with the change in incoming waves ("wave-to-wave" fluctuations) exhibit a new kind of universality, which does not exist in conventional mesoscopic fluctuations associated with the change in disorder realizations ("sample-to-sample" fluctuations), and originates from the coherence between the natural channels of waves-the transmission eigenchannels. Using the results obtained for wave-to-wave fluctuations, we find the criterion for almost all stationary scattering states to exhibit the same spatial structure such as the diffusive steady state. We further show that the expectations of observables at stationary scattering states are independent of incoming waves and are given by their averages with respect to eigenchannels. This suggests the possibility of extending the studies of thermalization of closed systems to open systems, which provides new perspectives for the emergence of nonequilibrium statistical phenomena. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22801]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China 2.Chinese Acad Sci, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, P,Zhao, LY,Tian, CS. Concentration-of-Measure Theory for Structures and Fluctuations of Waves[J]. PHYSICAL REVIEW LETTERS,2018,121(14):140603. |
| APA | Fang, P,Zhao, LY,&Tian, CS.(2018).Concentration-of-Measure Theory for Structures and Fluctuations of Waves.PHYSICAL REVIEW LETTERS,121(14),140603. |
| MLA | Fang, P,et al."Concentration-of-Measure Theory for Structures and Fluctuations of Waves".PHYSICAL REVIEW LETTERS 121.14(2018):140603. |
入库方式： OAI收割
来源：理论物理研究所
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