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Glassy Dynamics and Nonextensive Effects in the HMF Model: The Importance of Initial Conditions
Author(s) -
Alessandro Pluchino,
Andrea Rapisarda
Publication year - 2006
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.162.18
Subject(s) - dynamics (music) , statistical physics , econometrics , tsallis statistics , psychology , statistics , mathematics , physics , pedagogy
We review the anomalies of the HMF model and discuss the robusteness of theglassy features vs the initial conditions. Connections to Tsallis statisticsare also addressed.Comment: 11 pages, 5 figures. Talk presented at the International conference Complexity and Nonextensivity: New Trends in Statistical Mechanics. - Yukawa Institute for Theoretical Physics - (14-18 March 2005) Kyoto, Japan. New calculations on the glassy behaviour of the HMF model are discussed. Typos correctd. Please note that in the published version, the exponent of the power-law fit observed in fig.2 is erroneously reported as -1/6 instead of the correct value -1.

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