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Power-Law Relaxation and Cumulative Information

Di Porto, P. and Di Sabatino, S. and Crosignani, B. and DelRe, E. (2013) Power-Law Relaxation and Cumulative Information. Journal of Statistical Physics, 153 (3). pp. 479-485. ISSN 0022-4715.

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We associate the cumulative information of a system relaxing towards equilibrium with a divergent integral when a power-law relaxation holds. We discuss and illustrate numerically how this implies that a system that relaxes to equilibrium through a power-law has a cumulative information content that progressively diverges from that of its equilibrium realization to which it is relaxing. Our findings shed light on some aspects of weak ergodicity breaking and suggest that power-laws imply a form of complexity that does not require dissipation or built-in disorder.

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Additional Information:© 2013 Springer Science+Business Media New York. Received: 1 April 2013. Accepted: 22 August 2013. Published online: 11 September 2013. S. Di Sabatino is now with LPT-IRSAMC, Université Paul Sabatier—Toulouse, France. The research leading to these results was supported by funding from the Italian Ministry of Research (MIUR) through the “Futuro in Ricerca” FIRB grant PHOCOS-RBFR08E7VA. Partial funding was received through the SMARTCONFOCAL project of the Regione Lazio and through the PRIN project no. 2009P3K72Z.
Funding AgencyGrant Number
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)PHOCOS-RBFR08E7VA
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)2009P3K72Z
Subject Keywords:Weak-ergodicity breaking, Molecular dynamics, Out-of-equilibrium physics, Complexity
Issue or Number:3
Record Number:CaltechAUTHORS:20131105-083255486
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Official Citation:Di Porto, P., Di Sabatino, S., Crosignani, B. et al. J Stat Phys (2013) 153: 479. doi:10.1007/s10955-013-0840-7
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42240
Deposited By: Ruth Sustaita
Deposited On:05 Nov 2013 16:49
Last Modified:03 Oct 2019 05:56

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