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Fang, P1,2; Zhao, LY; Tian, CS
Concentration-of-Measure Theory for Structures and Fluctuations of Waves
Source PublicationPHYSICAL REVIEW LETTERS
Language英语
KeywordUNIVERSAL CONDUCTANCE FLUCTUATIONS RANDOM-MATRIX THEORY STATISTICAL-MECHANICS DISORDERED CONDUCTORS MULTIPLE-SCATTERING QUANTUM CHAOS TRANSMISSION THERMALIZATION DIFFUSION SYSTEMS
AbstractThe 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.
2018
ISSN0031-9007
Volume121Issue:14Pages:140603
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1103/PhysRevLett.121.140603
Indexed BySCIE
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22801
Collection理论物理所科研产出_SCI论文
Affiliation1.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
Recommended Citation
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.
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