Spectral Statistics: From Disordered to Chaotic Systems
The relation between disordered and chaotic systems is investigated. It is obtained by identifying the diffusion operator of the disordered systems with the Perron-Frobenius operator in the general case. This association enables us to extend results obtained in the diffusive regime to general chaoti...
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| creator | Agam, Oded Altshuler, Boris L Andreev, Anton V |
| description | The relation between disordered and chaotic systems is investigated. It is
obtained by identifying the diffusion operator of the disordered systems with
the Perron-Frobenius operator in the general case. This association enables us
to extend results obtained in the diffusive regime to general chaotic systems.
In particular, the two--point level density correlator and the structure factor
for general chaotic systems are calculated and characterized. The behavior of
the structure factor around the Heisenberg time is quantitatively described in
terms of short periodic orbits. |
| doi_str_mv | 10.48550/arxiv.cond-mat/9509102 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_cond_mat_9509102</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>cond_mat_9509102</sourcerecordid><originalsourceid>FETCH-arxiv_primary_cond_mat_95091023</originalsourceid><addsrcrecordid>eNpjYJA3NNAzsTA1NdBPLKrILNNLzs9L0c1NLNG3NDWwNDQw4mQwDy5ITS4pSsxRCC5JLMksLslMLrZScCvKz1VwySzOL0pJLUpNUSjJV3DOSMwHSioEVxaXpOYW8zCwpiXmFKfyQmluBlU31xBnD12wRfEFRZm5iUWV8SAL44EWxkMtNCZWHQCLJTvb</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Spectral Statistics: From Disordered to Chaotic Systems</title><source>arXiv.org</source><creator>Agam, Oded ; Altshuler, Boris L ; Andreev, Anton V</creator><creatorcontrib>Agam, Oded ; Altshuler, Boris L ; Andreev, Anton V</creatorcontrib><description>The relation between disordered and chaotic systems is investigated. It is
obtained by identifying the diffusion operator of the disordered systems with
the Perron-Frobenius operator in the general case. This association enables us
to extend results obtained in the diffusive regime to general chaotic systems.
In particular, the two--point level density correlator and the structure factor
for general chaotic systems are calculated and characterized. The behavior of
the structure factor around the Heisenberg time is quantitatively described in
terms of short periodic orbits.</description><identifier>DOI: 10.48550/arxiv.cond-mat/9509102</identifier><language>eng</language><subject>Physics - Chaotic Dynamics ; Physics - Disordered Systems and Neural Networks ; Physics - Materials Science ; Physics - Mesoscale and Nanoscale Physics ; Physics - Other Condensed Matter ; Physics - Quantum Gases ; Physics - Soft Condensed Matter ; Physics - Statistical Mechanics ; Physics - Strongly Correlated Electrons ; Physics - Superconductivity</subject><creationdate>1995-09</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/9509102$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1103/PhysRevLett.75.4389$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/9509102$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Agam, Oded</creatorcontrib><creatorcontrib>Altshuler, Boris L</creatorcontrib><creatorcontrib>Andreev, Anton V</creatorcontrib><title>Spectral Statistics: From Disordered to Chaotic Systems</title><description>The relation between disordered and chaotic systems is investigated. It is
obtained by identifying the diffusion operator of the disordered systems with
the Perron-Frobenius operator in the general case. This association enables us
to extend results obtained in the diffusive regime to general chaotic systems.
In particular, the two--point level density correlator and the structure factor
for general chaotic systems are calculated and characterized. The behavior of
the structure factor around the Heisenberg time is quantitatively described in
terms of short periodic orbits.</description><subject>Physics - Chaotic Dynamics</subject><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Materials Science</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Other Condensed Matter</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Soft Condensed Matter</subject><subject>Physics - Statistical Mechanics</subject><subject>Physics - Strongly Correlated Electrons</subject><subject>Physics - Superconductivity</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA3NNAzsTA1NdBPLKrILNNLzs9L0c1NLNG3NDWwNDQw4mQwDy5ITS4pSsxRCC5JLMksLslMLrZScCvKz1VwySzOL0pJLUpNUSjJV3DOSMwHSioEVxaXpOYW8zCwpiXmFKfyQmluBlU31xBnD12wRfEFRZm5iUWV8SAL44EWxkMtNCZWHQCLJTvb</recordid><startdate>19950917</startdate><enddate>19950917</enddate><creator>Agam, Oded</creator><creator>Altshuler, Boris L</creator><creator>Andreev, Anton V</creator><scope>GOX</scope></search><sort><creationdate>19950917</creationdate><title>Spectral Statistics: From Disordered to Chaotic Systems</title><author>Agam, Oded ; Altshuler, Boris L ; Andreev, Anton V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_95091023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Physics - Chaotic Dynamics</topic><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Materials Science</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Other Condensed Matter</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Soft Condensed Matter</topic><topic>Physics - Statistical Mechanics</topic><topic>Physics - Strongly Correlated Electrons</topic><topic>Physics - Superconductivity</topic><toplevel>online_resources</toplevel><creatorcontrib>Agam, Oded</creatorcontrib><creatorcontrib>Altshuler, Boris L</creatorcontrib><creatorcontrib>Andreev, Anton V</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Agam, Oded</au><au>Altshuler, Boris L</au><au>Andreev, Anton V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spectral Statistics: From Disordered to Chaotic Systems</atitle><date>1995-09-17</date><risdate>1995</risdate><abstract>The relation between disordered and chaotic systems is investigated. It is
obtained by identifying the diffusion operator of the disordered systems with
the Perron-Frobenius operator in the general case. This association enables us
to extend results obtained in the diffusive regime to general chaotic systems.
In particular, the two--point level density correlator and the structure factor
for general chaotic systems are calculated and characterized. The behavior of
the structure factor around the Heisenberg time is quantitatively described in
terms of short periodic orbits.</abstract><doi>10.48550/arxiv.cond-mat/9509102</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Chaotic Dynamics Physics - Disordered Systems and Neural Networks Physics - Materials Science Physics - Mesoscale and Nanoscale Physics Physics - Other Condensed Matter Physics - Quantum Gases Physics - Soft Condensed Matter Physics - Statistical Mechanics Physics - Strongly Correlated Electrons Physics - Superconductivity |
| title | Spectral Statistics: From Disordered to Chaotic Systems |
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