TY - JOUR
T1 - Slow relaxation due to optimization and restructuring
T2 - Solution on a hierarchical lattice
AU - Török, János
AU - Krishnamurthy, Supriya
AU - Kertész, János
AU - Roux, Stéphane
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85037232080&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.67.026108
DO - 10.1103/PhysRevE.67.026108
M3 - Article
AN - SCOPUS:85037232080
SN - 1063-651X
VL - 67
SP - 11
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 2
ER -