Entropy production and Pesin-like identity at the onset of chaos
Prog.Theor.Phys.115:23,2006 Asymptotically entropy of chaotic systems increases linearly and the sensitivity to initial conditions is exponential with time: these two behaviors are related. Such relationship is the analogous of and under specific conditions has been shown to coincide with the Pesin...
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| creator | Tonelli, Roberto Mezzorani, Giuseppe Meloni, Franco Lissia, Marcello Coraddu, Massimo |
| description | Prog.Theor.Phys.115:23,2006 Asymptotically entropy of chaotic systems increases linearly and the
sensitivity to initial conditions is exponential with time: these two behaviors
are related. Such relationship is the analogous of and under specific
conditions has been shown to coincide with the Pesin identity. Numerical
evidences support the proposal that the statistical formalism can be extended
to the edge of chaos by using a specific generalization of the exponential and
of the Boltzmann-Gibbs entropy. We extend this picture and a Pesin-like
identity to a wide class of deformed entropies and exponentials using the
logistic map as a test case. The physical criterion of finite-entropy growth
strongly restricts the suitable entropies. The nature and characteristics of
this generalization are clarified. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0412730 |
| format | Article |
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sensitivity to initial conditions is exponential with time: these two behaviors
are related. Such relationship is the analogous of and under specific
conditions has been shown to coincide with the Pesin identity. Numerical
evidences support the proposal that the statistical formalism can be extended
to the edge of chaos by using a specific generalization of the exponential and
of the Boltzmann-Gibbs entropy. We extend this picture and a Pesin-like
identity to a wide class of deformed entropies and exponentials using the
logistic map as a test case. The physical criterion of finite-entropy growth
strongly restricts the suitable entropies. The nature and characteristics of
this generalization are clarified.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0412730</identifier><language>eng</language><subject>Physics - Chaotic Dynamics ; Physics - Data Analysis, Statistics and Probability ; Physics - High Energy Physics - Theory ; Physics - Statistical Mechanics</subject><creationdate>2004-12</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0412730$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1143/PTP.115.23$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0412730$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Tonelli, Roberto</creatorcontrib><creatorcontrib>Mezzorani, Giuseppe</creatorcontrib><creatorcontrib>Meloni, Franco</creatorcontrib><creatorcontrib>Lissia, Marcello</creatorcontrib><creatorcontrib>Coraddu, Massimo</creatorcontrib><title>Entropy production and Pesin-like identity at the onset of chaos</title><description>Prog.Theor.Phys.115:23,2006 Asymptotically entropy of chaotic systems increases linearly and the
sensitivity to initial conditions is exponential with time: these two behaviors
are related. Such relationship is the analogous of and under specific
conditions has been shown to coincide with the Pesin identity. Numerical
evidences support the proposal that the statistical formalism can be extended
to the edge of chaos by using a specific generalization of the exponential and
of the Boltzmann-Gibbs entropy. We extend this picture and a Pesin-like
identity to a wide class of deformed entropies and exponentials using the
logistic map as a test case. The physical criterion of finite-entropy growth
strongly restricts the suitable entropies. The nature and characteristics of
this generalization are clarified.</description><subject>Physics - Chaotic Dynamics</subject><subject>Physics - Data Analysis, Statistics and Probability</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNzb8KwjAQgPEsDqI-g7c4to22RUdBKo4O7uFoUnrYXkpyin17_9AHcPqWD35Krbc6LQ5lqTMML3qmtWeb9CiZLra7fa7n6lixBD-MMARvH7WQZ0C2cHWROOno7oCsYyEZAQWkdeA5OgHfQN2ij0s1a7CLbjV1oTbn6na6JD_RDIF6DKP5yuYjm0nO__3e8LM_Hw</recordid><startdate>20041228</startdate><enddate>20041228</enddate><creator>Tonelli, Roberto</creator><creator>Mezzorani, Giuseppe</creator><creator>Meloni, Franco</creator><creator>Lissia, Marcello</creator><creator>Coraddu, Massimo</creator><scope>GOX</scope></search><sort><creationdate>20041228</creationdate><title>Entropy production and Pesin-like identity at the onset of chaos</title><author>Tonelli, Roberto ; Mezzorani, Giuseppe ; Meloni, Franco ; Lissia, Marcello ; Coraddu, Massimo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_04127303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Physics - Chaotic Dynamics</topic><topic>Physics - Data Analysis, Statistics and Probability</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Tonelli, Roberto</creatorcontrib><creatorcontrib>Mezzorani, Giuseppe</creatorcontrib><creatorcontrib>Meloni, Franco</creatorcontrib><creatorcontrib>Lissia, Marcello</creatorcontrib><creatorcontrib>Coraddu, Massimo</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tonelli, Roberto</au><au>Mezzorani, Giuseppe</au><au>Meloni, Franco</au><au>Lissia, Marcello</au><au>Coraddu, Massimo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Entropy production and Pesin-like identity at the onset of chaos</atitle><date>2004-12-28</date><risdate>2004</risdate><abstract>Prog.Theor.Phys.115:23,2006 Asymptotically entropy of chaotic systems increases linearly and the
sensitivity to initial conditions is exponential with time: these two behaviors
are related. Such relationship is the analogous of and under specific
conditions has been shown to coincide with the Pesin identity. Numerical
evidences support the proposal that the statistical formalism can be extended
to the edge of chaos by using a specific generalization of the exponential and
of the Boltzmann-Gibbs entropy. We extend this picture and a Pesin-like
identity to a wide class of deformed entropies and exponentials using the
logistic map as a test case. The physical criterion of finite-entropy growth
strongly restricts the suitable entropies. The nature and characteristics of
this generalization are clarified.</abstract><doi>10.48550/arxiv.cond-mat/0412730</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Chaotic Dynamics Physics - Data Analysis, Statistics and Probability Physics - High Energy Physics - Theory Physics - Statistical Mechanics |
| title | Entropy production and Pesin-like identity at the onset of chaos |
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