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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Wave diffusion and mesoscopic dynamics, towards a universal time-dependent random scattering matrix

Richard L Weaver

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[1]
Casati G, Valz-Gris F and Guarneri I 1980 Lett. Nuovo Cimento 28 279
CrossRef 
 
Bohigas O, Giannoni M J and Schmit C 1984 Phys. Rev. Lett. 52 1
CrossRef 
 
Heller E J 1984 Phys. Rev. Lett. 53 515
CrossRef 
[2]
Stöckmann H-J 1999 Quantum Chaos: an Introduction (Cambridge: Cambridge University Press)
CrossRef 
 
Kuhl U, Stockmann H-J and Weaver R 2005 Classical wave experiments on chaotic scattering J. Phys. A: Math. Gen. 38 10433-63
IOPscience 
[3]
Verbaarschot J M, Weidenmuller H A and Zirnbauer M R 1985 Grassmann Integration in stochastic quantum physics-the case of compound nucleus scattering Phys. Rep. 129 367
CrossRef 
 
Dittes F-M 2000 Phys. Rep. 399 215
CrossRef 
 
Verbaarschot J J M 1986 Ann. Phys. (NY) 168 368
CrossRef 
 
Efetov K 1997 Supersymmetry in Disorder and Chaos (Cambridge: Cambridge University Press)

[4]
Berry M V 1983 Chaotic Behaviour of Deterministic Systems ed Iooss G, Helleman R and Stora R (Amsterdam: North-Holland) p 171

 
Berry M V 1977 J. Phys. A: Math. Gen. 10 2083
IOPscience 
 
Voros A 1976 Ann. Inst. Henri Poincaré 24 31

 
Heller E J 2006 Statistical properties of eigenstates beyond random matrix theory Mol. Phys. 104 1207-16
CrossRef 
[5]
Heller E J 1984 Phys. Rev. Lett. 53 1515
CrossRef 
 
Bohigas O 1989 Random matrix theories and chaotic dynamics Les Houches session LII

 
Bohigas O 1991 Chaos and Quantum Physics (Amsterdam: Elsevier)

 
Agam O and Fishman S 1996 Semiclassical analysis of energy level correlations for a disordered mesoscopic system Phys. Rev. Lett. 76 726
CrossRef  PubMed 
[6]
Weaver R L and Lobkis O I 2000 Anderson localization in coupled reverberation Rooms J. Sound Vib. 231 1111-34
CrossRef 
 
Gronqvist J and Guhr T 2005 Energy localization in two chaotically coupled systems Phys. Rev. E 71 036214
CrossRef 
 
Weaver R L 2006 Transport and localization amongst coupled substructures Phys. Rev. E 73 036610
CrossRef 
[7]
Borgonovi F, Conti P, Rebuzzi D, Hu B B and Li B W 1999 Cantori and dynamical localization in the Bunimovich stadium Physica D 131 317-26
CrossRef 
[8]
Kaplan L 2005 Correlation function bootstrapping in quantum chaotic systems Phys. Rev. E 71 056212
CrossRef 
[9]
Heller J 1984 Phys. Rev. Lett. 53 1515
CrossRef 
 
Kaplan L and Heller E J 1998 Ann. Phys. 264 171
CrossRef 
 
Bies W E, Kaplan L, Haggerty M R and Heller E J 2001 Localization of eigenfunctions in the stadium billiard Phys. Rev. E 63 066214
CrossRef 
[10]
Mello P A, Pereyra P and Seligman T H 1985 Ann. Phys. (NY) 161 285
CrossRef 
 
Mello P A and Seligman T H 1980 Nucl. Phys. A 344 489
CrossRef 
 
Lopez G, Mello P A and Seligman T H 1981 Z. Phys. A 302 351
CrossRef 
 
Seligman T H 1983 Analytic and constructive use of information theory in physics Proc. ELAF 1982 ed A Rueda and S Moore (Singapore: World Scientific)

[11]
Weaver R L 2001 Equipartition and mean square responses in large undamped structures J. Acoust. Soc. Am. 110 894-903
CrossRef 
 
Wolff N and Weaver R L 2005 Towards a generalized diffusion model for energy flow in complex structures J. Acoust. Soc. Am. 118 222
CrossRef  PubMed 
[12]
Woodhouse J 1981 An approach to the theoretical background of statistical energy analysis applied to structural vibration J. Acoust. Soc. Am. 69 1695-1709
CrossRef 
 
Summers J E, Torres R R and Shimizu Y 2004 Statistical-acoustics models of energy decay in systems of coupled rooms and their relation to geometrical acoustics J. Acoust. Soc. Am. 116 958-69
CrossRef  PubMed 
[13]
Lobkis O, Rozhkov I and Weaver R 2003 Non-exponential dissipation in a lossy elastodynamic billiard, comparison with Porter-Thomas and Random Matrix Predictions Phys. Rev. Lett. 91 194101
CrossRef  PubMed 
[14]
Toll J S 1956 Causality and the dispersion relation: logical foundations Phys. Rev. 104 1760
CrossRef 
[15]
Nussenzweig H M 1972 Causality and Dispersion Relations (New York: Academic)

[16]
Chakravarty S and Schmid A 1986 Weak localization: The quasiclassical theory of electrons in a random potential Phys. Rep. 140 193-236
CrossRef 
 
Van Albada M P and Lagendijk A 1985 Observation of weak localization of light in a random medium Phys. Rev. Lett. 55 2692-95
CrossRef  PubMed 
 
Larose E, Margerin L, van Tiggelen B A and Campillo M 2004 Weak localization of seismic waves Phys. Rev. Lett. 93 048501
CrossRef  PubMed 
 
de Rosny J, Tourin A and Fink M 2000 Coherent backscattering of an elastic wave in a chaotic cavity Phys. Rev. Lett. 84 1693-95
CrossRef  PubMed 
[17]
Alt H, Graf H D, Harney H L, Hofferbert R, Lengeler H, Richter A, Schardt P and Weidenmuller H A 1995 Gaussian orthogonal ensemble statistics in a microwave stadium billiard with chaotic dynamics-Porter-Thomas distribution and algebraic decay of time correlations Phys. Rev. Lett. 74 62
CrossRef  PubMed 
 
Savin D V and Sokolov V V 1997 Quantum versus classical decay laws in open chaotic systems Phys. Rev. E 56 R4911-R4913
CrossRef 
[18]
Prigodin V N, Altshuler B L, Efetov K B and Iida S 1994 Mesoscopic dynamical echo in quantum dots Phys. Rev. Lett. 72 546
CrossRef  PubMed 
 
Weaver R and Burkhardt J 1994 Weak Anderson localization and enhanced backscatter in reverberation rooms and quantum dots J. Acoust. Soc. Am. 96 3186-90
CrossRef 
 
Weaver R L and Lobkis O I 2000 Enhanced backscattering and modal echo of reverberant elastic waves Phys. Rev. Lett. 84 4942-5
CrossRef  PubMed 
[19]
Baranger H U and Mello P A 1996 Short paths and information theory in quantum chaotic scattering: transport through quantum dots Europhys. Lett. 33 465-70
IOPscience 
 
Kogan E, Mello P A and He L Q 2000 Wave scattering through classically chaotic cavities in the presence of absorption: An information-theoretic model Phys. Rev. E 61 R17-R20
CrossRef 
 
Gorin T 2005 Random matrix description of decaying quantum systems J. Phys. A: Math. Gen. 38 10805-18
IOPscience 
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