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1/f noise and very high spectral rigidity
Identificadores del recurso
http://eprints.ucm.es/27722/1/Relano39libre.pdf
Procedencia
(E-Prints Complutense)

Ficha

Título:
1/f noise and very high spectral rigidity
Tema:
Termodinámica
Descrición:
It was recently pointed out that the spectral fluctuations of quantum systems are formally analogous to discrete time series, and therefore their structure can be characterized by the power spectrum of the signal. Moreover, it is found that the power spectrum of chaotic spectra displays a 1/f behavior, while that of regular systems follows a 1/f(2) law. This analogy provides a link between the concepts of spectral rigidity and antipersistence. Trying to get a deeper understanding of this relationship, we have studied the correlation structure of spectra with high spectral rigidity. Using an appropriate family of random Hamiltonians, we increase the spectral rigidity up to hindering completely the spectral fluctuations. Analyzing the long range correlation structure a neat power law 1/f has been found for all the spectra, along the whole process. Therefore, 1/f noise is the characteristic fingerprint of a transition that, preserving the scale-free correlation structure, hinders completely the fluctuations of the spectrum.
Idioma:
Relación:
http://eprints.ucm.es/27722/
http://dx.doi.org/10.1103/PhysRevE.73.026204
10.1103/PhysRevE.73.026204
BFM2003-04147
Autor/Productor:
Relaño Pérez, Armando
Retamosa Granado, Joaquín
Faleiro, E.
Molina, R. A.
Zuker, A. P.
Editor:
American Physical Society
Dereitos:
cc_by
info:eu-repo/semantics/openAccess
Data:
2006-02
Tipo de recurso:
info:eu-repo/semantics/article
PeerReviewed
Formato:
application/pdf

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      1. <bibo:abstract datatype="http://www.w3.org/2001/XMLSchema#string">It was recently pointed out that the spectral fluctuations of quantum systems are formally analogous to discrete time series, and therefore their structure can be characterized by the power spectrum of the signal. Moreover, it is found that the power spectrum of chaotic spectra displays a 1/f behavior, while that of regular systems follows a 1/f(2) law. This analogy provides a link between the concepts of spectral rigidity and antipersistence. Trying to get a deeper understanding of this relationship, we have studied the correlation structure of spectra with high spectral rigidity. Using an appropriate family of random Hamiltonians, we increase the spectral rigidity up to hindering completely the spectral fluctuations. Analyzing the long range correlation structure a neat power law 1/f has been found for all the spectra, along the whole process. Therefore, 1/f noise is the characteristic fingerprint of a transition that, preserving the scale-free correlation structure, hinders completely the fluctuations of the spectrum.</bibo:abstract>

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      3. <bibo:issue>2</bibo:issue>

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      6. <bibo:volume>73</bibo:volume>

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      12. <dct:date>2006-02</dct:date>

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      16. <dct:subject resource="http://eprints.ucm.es/id/subject/A_11_305" />
      17. <dct:title datatype="http://www.w3.org/2001/XMLSchema#string">1/f noise and very high spectral rigidity</dct:title>

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      19. <ep:hasDocument resource="http://eprints.ucm.es/id/document/131459" />
      20. <ep:hasDocument resource="http://eprints.ucm.es/id/document/131460" />
      21. <ep:hasDocument resource="http://eprints.ucm.es/id/document/131461" />
      22. <ep:hasDocument resource="http://eprints.ucm.es/id/document/131462" />
      23. <ep:hasDocument resource="http://eprints.ucm.es/id/document/131463" />
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      2. <skos:prefLabel lang="es">Termodinámica</skos:prefLabel>

      3. <skos:prefLabel lang="en">Thermodynamics</skos:prefLabel>

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      3. <foaf:name datatype="http://www.w3.org/2001/XMLSchema#string">R. A. Molina</foaf:name>

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      3. <foaf:name datatype="http://www.w3.org/2001/XMLSchema#string">E. Faleiro</foaf:name>

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      1. <foaf:familyName datatype="http://www.w3.org/2001/XMLSchema#string">Relaño Pérez</foaf:familyName>

      2. <foaf:givenName datatype="http://www.w3.org/2001/XMLSchema#string">Armando</foaf:givenName>

      3. <foaf:name datatype="http://www.w3.org/2001/XMLSchema#string">Armando Relaño Pérez</foaf:name>

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      1. <foaf:familyName datatype="http://www.w3.org/2001/XMLSchema#string">Retamosa Granado</foaf:familyName>

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      3. <foaf:name datatype="http://www.w3.org/2001/XMLSchema#string">Joaquín Retamosa Granado</foaf:name>

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