1/f noise in the two-body random ensemble
| dc.contributor.author | Relaño Pérez, Armando | |
| dc.contributor.author | Molina, R. A. | |
| dc.contributor.author | Retamosa Granado, Joaquín | |
| dc.date.accessioned | 2023-06-20T10:49:26Z | |
| dc.date.available | 2023-06-20T10:49:26Z | |
| dc.date.issued | 2004-07 | |
| dc.description | ©2004 The American Physical Society | |
| dc.description.abstract | We show that the spectral fluctuations of the two-body random ensemble exhibit 1/f noise. This result supports a recent conjecture stating that chaotic quantum systems are characterized by 1/f noise in their energy level fluctuations. After suitable individual averaging, we also study the distribution of the exponent alpha in the 1/f(alpha) noise for the individual members of the ensemble. Almost all the exponents lie inside a narrow interval around alpha=1, suggesting that also individual members exhibit 1/f noise, provided they are individually unfolded. | |
| dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27796 | |
| dc.identifier.doi | 10.1103/PhysRevE.70.017201 | |
| dc.identifier.issn | 1539-3755 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevE.70.017201 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51290 | |
| dc.issue.number | 1 | |
| dc.journal.title | Physical Review E | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 536 | |
| dc.subject.keyword | Particle-Systems | |
| dc.subject.keyword | Spectrum | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | 1/f noise in the two-body random ensemble | |
| dc.type | journal article | |
| dc.volume.number | 70 | |
| dcterms.references | [1] M. V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 356, 375 (1977). [2] O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984). [3] T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998). [4] H. J. Stöckmann, Quantum Chaos (Cambridge University Press, Cambridge, England, 1999). [5] E. Wigner, Ann. Math. 53, 36 (1951). [6] M. L. Mehta, Random Matrices (Academic, San Diego, 1991). [7] A. Relaño, J. M. G. Gómez, R. A. Molina, J. Retamosa, and E. Faleiro, Phys. Rev. Lett. 89, 244102 (2002). [8] J. B. French and S. S. M. Wong, Phys. Lett. 33B, 449 (1970). [9] O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971). [10] O. Bohigas and J. Flores, Phys. Lett. 34B, 383 (1971). [11] J. B. French, Rev. Mex. Fis. 22, 221 (1973). [12] T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981). [13] V. K. B. Kota, Phys. Rep. 347, 223 (2001). [14] J. M. G. Gómez, R. A. Molina, A. Relaño, and J. Retamosa, Phys. Rev. E 66, 036209 (2002). [15] J. Flores, M. Horoi, M. Müller, and T. H. Seligman, Phys. Rev. E 63, 026204 (2000). [16] A. D. Jackson, C. Mejia-Monasterio, T. Rupp, M. Saltzer, and T. Wilke, Nucl. Phys. A 687, 405 (2001). [17] B. B. Mandelbrot, Multifractals and 1/ f Noise (Springer, New York 1999). [18] J. G. Hirsch, A. Frank, and V. Velázquez, e-print nucl-th/0306049. [19] J. G. Hirsch and V. Velázquez, e-print nucl-th/0308038. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 53fed635-944b-485a-b13a-ea8f9355b7aa | |
| relation.isAuthorOfPublication | 1d1118d9-569f-4139-988b-921ac5a8407c | |
| relation.isAuthorOfPublication.latestForDiscovery | 53fed635-944b-485a-b13a-ea8f9355b7aa |
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