Using exact relations in damage-spreading simulations: The Baxter line of the two-dimensional Ashkin-Teller model

2007 ◽  
Vol 76 (4) ◽  
Author(s):  
A. S. Anjos ◽  
D. A. Moreira ◽  
A. M. Mariz ◽  
F. D. Nobre ◽  
F. A. da Costa
Keyword(s):  
Two Dimensional ◽  
Damage Spreading ◽  
Exact Relations

Damage-spreading simulations through exact relations for the two-dimensional Potts ferromagnet

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
A. S. Anjos ◽  
D. A. Moreira ◽  
A. M. Mariz ◽  
F. D. Nobre
Keyword(s):  
Two Dimensional ◽  
Damage Spreading ◽  
Exact Relations

scholarly journals New exact relations for steady irrotational two-dimensional gravity and capillary surface waves

2017 ◽  
Vol 376 (2111) ◽  
pp. 20170220 ◽  
Author(s):  
Didier Clamond
Keyword(s):  
Free Surface ◽  
Gravity Waves ◽  
Water Waves ◽  
Two Dimensional ◽  
Physical Plane ◽  
Theme Issue ◽  
Nonlinear Water Waves ◽  
Dimensional Gravity ◽  
Irrotational Motion ◽  
Exact Relations

Steady two-dimensional surface capillary–gravity waves in irrotational motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some transformations of the boundary conditions at the free surface, new exact relations and equations for the free surface only are derived. In particular, a physical plane counterpart of the Babenko equation is obtained. This article is part of the theme issue ‘Nonlinear water waves’.

TIME-DEPENDENT CRITICAL PROPERTIES FROM “DAMAGE SPREADING”

Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 722-726
Author(s):  
NAEEM JAN
Keyword(s):  
Correlation Function ◽  
Scaling Function ◽  
Direct Determination ◽  
Ising Models ◽  
Time Dependent ◽  
Critical Properties ◽  
Damage Spreading ◽  
Exact Relations ◽  
Dependent Correlation

“Damage spreading” is a useful tool for determining equilibrium thermal properties from Monte Carlo simulations of Ising models. Formal exact relations relate static equilibrium properties, e.g. the correlation function, to the equilibrium damage. Similar exact relations also relate the time-dependent correlation function to the time-dependent damage. However, some results such as the direct determination of the characteristic time, τ, from damage spreading appear to be at odds with that reported in the literature by more traditional models. We show that some of these discrepancies, but not all, may be resolved by taking the appropriate scaling function into account.

Damage spreading in a two-dimensional Potts ferromagnet in an external field

1997 ◽  
Vol 30 (7) ◽  
pp. 2329-2344 ◽  
Author(s):  
L da Silva ◽  
F A Tamarit ◽  
A C N Magalhães
Keyword(s):  
External Field ◽  
Two Dimensional ◽  
Damage Spreading
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