PL EN


Preferences help
enabled [disable] Abstract
Number of results
2009 | 116 | 5 | 749-755
Article title

Experimental and Numerical Studies of One-Dimensional and Three-Dimensional Chaotic Open Systems

Content
Title variants
Languages of publication
EN
Abstracts
EN
We present the results of experimental studies of microwave irregular networks and a three-dimensional microwave rough cavity in the presence of absorption. Microwave networks are also analyzed numerically. Microwave networks simulate one-dimensional quantum graphs. The networks consist of coaxial cables connected by joints and attenuators to control absorption. Three-dimensional microwave rough cavities have no formal analog in quantum 3D systems. However, some statistical properties of their spectra such as the level spacing distribution confirms that they belong to the wave-chaotic systems. Absorption of the cavity was changed by using a foam microwave absorber.
Keywords
EN
Publisher

Year
Volume
116
Issue
5
Pages
749-755
Physical description
Dates
published
2009-11
Contributors
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
References
  • 1. L. Pauling, J. Chem. Phys. 4, 673 (1936)
  • 2. C. Flesia, R. Johnston, H. Kunz, Europhys. Lett. 3, 497 (1987)
  • 3. R. Mitra, S.W. Lee, Analytical Techniques in the Theory of Guided Waves, Macmillan, New York 1971
  • 4. Y. Imry, Introduction to Mesoscopic Systems, Oxford, New York 1996
  • 5. D. Kowal, U. Sivan, O. Entin-Wohlman, Y. Imry, Phys. Rev. B 42, 9009 (1990)
  • 6. E.L. Ivchenko, A.A. Kiselev, JETP Lett. 67, 43 (1998)
  • 7. J.A. Sanchez-Gil, V. Freilikher, I. Yurkevich, A.A. Maradudin, Phys. Rev. Lett. 80, 948 (1998)
  • 8. Y. Avishai, J.M. Luck, Phys. Rev. B 45, 1074 (1992)
  • 9. T. Nakayama, K. Yakubo, R.L. Orbach, Rev. Mod. Phys. 66, 381 (1994)
  • 10. T. Kottos, Acta Phys. Pol. A 109, 7 (2006)
  • 11. T. Kottos, U. Smilansky, Phys. Rev. Lett. 79, 4794 (1997)
  • 12. F. Barra, P. Gaspard, J. Statist. Phys. 101, 283 (2000)
  • 13. R. Blümel, Yu. Dabaghian, R.V. Jensen, Phys. Rev. Lett. 88, 044101 (2002)
  • 14. G. Tanner, J. Phys. A 33, 3567 (2000)
  • 15. P. Pakoński, K. Życzkowski, M. Kuś, J. Phys. A 34, 9303 (2001)
  • 16. O. Hul, S. Bauch, P. Pakoński, N. Savytskyy, K. Życzkowski, L. Sirko, Phys. Rev. E 69, 056205 (2004)
  • 17. O. Hul, O. Tymoshchuk, Sz. Bauch, P.M. Koch, L. Sirko, J. Phys. A 38, 10489 (2005)
  • 18. O. Hul, P. Seba, L. Sirko, Phys. Scr. T 135, 014048 (2009)
  • 19. M. Ławniczak, S. Bauch, O. Hul, L. Sirko, Phys. Scr. T 135, 014050 (2009)
  • 20. O. Hul, P. Seba, L. Sirko, Phys. Rev. E 79, 066204 (2009)
  • 21. H. Schanz, T. Kottos, Phys. Rev. Lett. 90, 234101 (2003)
  • 22. L. Kaplan, Phys. Rev. E 64, 036225 (2001)
  • 23. T. Kottos, H. Schanz, Physica E 9, 523 (2003)
  • 24. T. Kottos, U. Smilansky, J. Phys. A 36, 3501 (2003)
  • 25. M. Ławniczak, O. Hul, S. Bauch, P. Seba, L. Sirko, Phys. Rev. E 77, 056210 (2008)
  • 26. G. Akguc, L.E. Reichl, Phys. Rev. E 64, 056221 (2001)
  • 27. Y.V. Fyodorov, D.V. Savin, JETP Lett. 80, 725 (2004)
  • 28. O. Hul, S. Bauch, M. Ławniczak, L. Sirko, Acta Phys. Pol. A 112, 655 (2007)
  • 29. S. Deus, P.M. Koch, L. Sirko, Phys. Rev. E 52, 1146 (1995)
  • 30. H. Alt, C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld, A. Richter, R. Schuhmann, T. Weinland, Phys. Rev. Lett. 79, 1026 (1997)
  • 31. U. Dörr, H.-J. Stöckmann, M. Barth, U. Kuhl, Phys. Rev. Lett. 80, 1030 (1998)
  • 32. C. Dembowski, B. Dietz, H.-D. Gräf, A. Heine, T. Papenbrock, A. Richter, C. Richter, Phys. Rev. Lett. 89, 064101 (2002)
  • 33. O. Tymoshchuk, N. Savytskyy, O. Hul, Sz. Bauch, L. Sirko, Phys. Rev. E 75, 037202 (2007)
  • 34. N. Savytskyy, O. Tymoshchuk, O. Hul, Sz. Bauch, L. Sirko, Phys. Lett. A 372, 1851 (2008)
  • 35. H. Primack, U. Smilansky, Phys. Rev. Lett. 74, 4831 (1995)
  • 36. T. Prosen, Phys. Lett. A 233, 323 (1997)
  • 37. L.R. Arnaut, Phys. Rev. E 73, 036604 (2006)
  • 38. M.L. Mehta, Random Matrices, Academic Press, New York 1991
  • 39. D.V. Savin, H.-J. Sommers, Y.V. Fyodorov, JETP Lett. 82, 544 (2005)
  • 40. S. Hemmady, X. Zheng, T.M. Antonsen Jr., E. Ott, S.M. Anlage, Acta Phys. Pol. A 109, 65 (2006)
  • 41. S. Hemmady, X. Zheng, E. Ott, T.M. Antonsen, S.M. Anlage, Phys. Rev. Lett. 94, 014102 (2005)
  • 42. G. López, P.A. Mello, T.H. Seligman, Z. Phys. A 302, 351 (1981)
  • 43. E. Doron, U. Smilansky, Nucl. Phys. A 545, 455 (1992)
  • 44. P.W. Brouwer, Phys. Rev. B 51, 16878 (1995)
  • 45. D.V. Savin, Y.V. Fyodorov, H.-J. Sommers, Phys. Rev. E 63, 035202 (2001)
  • 46. U. Kuhl, M. Martinez-Mares, R.A. Méndez-Sánchez, H.-J. Stöckmann, Phys. Rev. Lett. 94, 144101 (2005)
  • 47. E. Kogan, P.A. Mello, H. Liqun, Phys. Rev. E 61, R17 (2000)
  • 48. R.A. Méndez-Sánchez, U. Kuhl, M. Barth, C.V. Lewenkopf, H.-J. Stöckmann, Phys. Rev. Lett. 91, 174102 (2003)
  • 49. C.W.J. Beenakker, P.W. Brouwer, Physica E 9, 463 (2001)
  • 50. Y. Hlushchuk, L. Sirko, U. Kuhl, M. Barth, H.-J. Stöckmann, Phys. Rev. E 63, 046208 (2001)
  • 51. L. Sirko, P.M. Koch, R. Blümel, Phys. Rev. Lett. 78, 2940 (1997)
  • 52. Y. Hlushchuk, A. Kohler, S. Bauch, L. Sirko, R. Blümel, M. Barth, H.-J. Stöckmann, Phys. Rev. E 61, 366 (2000)
  • 53. N. Savytskyy, A. Kohler, S. Bauch, R. Blümel, L. Sirko, Phys. Rev. E 64, 036211 (2001)
  • 54. R. Blümel, P.M. Koch, L. Sirko, Foundations of Physics 31, 269 (2001)
  • 55. L. Sirko, A. Haffmans, M.R.W. Bellermann, P.M. Koch, Europhys. Lett. 33, 181 (1996)
  • 56. L. Sirko, S.A. Zelazny, P.M. Koch, Phys. Rev. Lett. 87, 043002 (2001)
  • 57. L. Sirko, P.M. Koch, Phys. Rev. Lett. 89, 274101 (2002)
  • 58. Microwave Cables and Assemblies General Catalogue, Vol. 51, Catalogue Huber and Suhner, 2007
  • 59. P. Exner, Ann. Inst. H. Poincaré: Phys. Théor. 66, 359 (1997)
  • 60. G. Goubau, Electromagnetic Waveguides and Cavities, Pergamon Press, Oxford 1961
  • 61. R. Balian, C. Bloch, Ann. Phys. (N.Y.) 84, 559 (1974)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n504kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.