23 citations · 49 across the 4 of their papers we have counts for
7 papers
Extremal driving as a mechanism for generating long-term memory
D. A. Head
It is argued that systems whose elements are renewed according to an extremal criterion can generally be expected to exhibit long-term memory. This is verified for the minimal extr…
Temperature scaling, glassiness and stationarity in the Bak-Sneppen model
D. A. Head
We show that the emergence of criticality in the locally-defined Bak-Sneppen model corresponds to separation over a hierarchy of timescales. Near to the critical point the model ob…
Stretched exponentials and power laws in granular avalanching
D. A. Head, G. J. Rodgers
We introduce a model for granular avalanching which exhibits both stretched exponential and power law avalanching over its parameter range. Two modes of transport are incorporated,…
The Anisotropic Bak-Sneppen Model
D. A. Head, G. J. Rodgers
The Bak-Sneppen model is shown to fall into a different universality class with the introduction of a preferred direction, mirroring the situation in spin systems. This is first de…
A coarse grained model of granular compaction and relaxation
D. A. Head, G. J. Rodgers
We introduce a theoretical model for the compaction of granular materials by discrete vibrations which is expected to hold when the intensity of vibration is low. The dynamical uni…
Slowly Driven Sandpile Formation with Granular Mixtures
D. A. Head, G. J. Rodgers
We introduce a one-dimensional sandpile model with different particle types and an infinitesimal driving rate. The parameters for the model are the N^2 critical slopes for one…