Slow relaxation due to optimization and restructuring: Solution on a hierarchical lattice

János Török, Supriya Krishnamurthy, János Kertész, Stéphane Roux

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

Motivated by the large strain shear of loose granular materials, we introduced a model that consists of consecutive optimization and restructuring steps leading to a self-organization of a density field. The extensive connections to other models of statistical physics are discussed. We investigate our model on a hierarchical lattice that allows an exact asymptotic renormalization treatment. A surprisingly close analogy is observed between the simulation results on the regular and the hierarchical lattices. The dynamics is characterized by the breakdown of ergodicity, by unusual system size effects in the development of the average density, as well as by the age distribution, the latter showing multifractal properties.

Original languageEnglish
Pages (from-to)11
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number2
DOIs
StatePublished - 2003
Externally publishedYes

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