scholarly journals Fortuin-Kasteleyn and damage-spreading transitions in random-bond Ising lattices

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
P. H. Lundow ◽  
I. A. Campbell
Keyword(s):  
Damage Spreading ◽  
Ising Lattices

Damage Spreading in ±J Asymmetric Ising Spin Glasses

1995 ◽  
Vol 5 (3) ◽  
pp. 355-364 ◽  
Author(s):  
R. M.C. de Almeida ◽  
L. Bernadi ◽  
I. A. Campbell
Keyword(s):  
Spin Glasses ◽  
Damage Spreading ◽  
Ising Spin

scholarly journals On the Ternary Approach to Clifford Structures and Ising Lattices

2012 ◽  
Vol 22 (3) ◽  
pp. 757-769 ◽  
Author(s):  
J. Ławrynowicz ◽  
O. Suzuki ◽  
A. Niemczynowicz
Keyword(s):  
Ising Lattices ◽  
Clifford Structures

scholarly journals DAMAGE SPREADING IN THE BAK–SNEPPEN MODEL: SENSITIVITY TO THE INITIAL CONDITIONS AND EQUILIBRATION DYNAMICS

2003 ◽  
Vol 14 (06) ◽  
pp. 805-814 ◽  
Author(s):  
UGUR TIRNAKLI ◽  
MARCELO L. LYRA
Keyword(s):  
Distance Measure ◽  
Hamming Distance ◽  
Initial Conditions ◽  
Biological Evolution ◽  
Finite Size ◽  
Continuous Phase ◽  
Mathematical Framework ◽  
Damage Spreading ◽  
Time Dynamics ◽  
Equilibrium Configurations

The short-time and long-time dynamics of the Bak–Sneppen model of biological evolution are investigated using the damage spreading technique. By defining a proper Hamming distance measure, we are able to make it exhibit an initial power-law growth which, for finite size systems, is followed by a decay towards equilibrium. In this sense, the dynamics of self-organized critical states is shown to be similar to the one observed at the usual critical point of continuous phase transitions and at the onset of chaos of nonlinear low-dimensional dynamical maps. The transient, pre-asymptotic and asymptotic exponential relaxation of the Hamming distance between two initially uncorrelated equilibrium configurations is also shown to be fit within a single mathematical framework.

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