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.
Power-Law Relaxation and Cumulative Information / DEL RE, Eugenio; P., Di Porto; S., Di Sabatino; B., Crosignani. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 153:3(2013), pp. 479-485. [10.1007/s10955-013-0840-7]
Power-Law Relaxation and Cumulative Information
DEL RE, EUGENIO;
2013
Abstract
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.| File | Dimensione | Formato | |
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JStatPhys.153.479_2013.pdf
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