Bond percolation on a finite lattice: Critical behavior of the (1+ε)-state Potts model

1994 ◽  
Vol 49 (2) ◽  
pp. 1016-1025 ◽  
Author(s):  
Joseph Rudnick ◽  
Jacob Morris ◽  
George Gaspari
Keyword(s):  
Critical Behavior ◽  
Potts Model ◽  
Finite Lattice ◽  
Bond Percolation

Bond percolation on a finite lattice: The one-state Potts model reconsidered

1986 ◽  
Vol 42 (5-6) ◽  
pp. 833-860 ◽  
Author(s):  
Joseph Rudnick ◽  
George Gaspari
Keyword(s):  
Potts Model ◽  
Finite Lattice ◽  
Bond Percolation ◽  
The One

Finite lattice systems with true critical behavior

1992 ◽  
Vol 46 (4) ◽  
pp. 1643-1657 ◽  
Author(s):  
J. L. deLyra ◽  
S. K. Foong ◽  
T. E. Gallivan
Keyword(s):  
Critical Behavior ◽  
Finite Lattice ◽  
Lattice Systems

Short-time dynamics and critical behavior of three-dimensional bond-diluted Potts model

2006 ◽  
Vol 49 (2) ◽  
pp. 195-203 ◽  
Author(s):  
J. Q. Yin ◽  
B. Zheng ◽  
V. V. Prudnikov ◽  
S. Trimper
Keyword(s):  
Critical Behavior ◽  
Potts Model ◽  
Three Dimensional ◽  
Time Dynamics ◽  
Short Time

Topological rearrangements and flow simulation of dry ordered foams

2014 ◽  
Vol 05 (supp01) ◽  
pp. 1441007 ◽  
Author(s):  
J. S. Espinoza Ortiz ◽  
H. Belich ◽  
M. T. D. Orlando ◽  
R. E. Lagos
Keyword(s):  
Strain Rate ◽  
Critical Behavior ◽  
Potts Model ◽  
Driving Force ◽  
Flow Simulation ◽  
Two Dimensional ◽  
Fluid Regime ◽  
Cellular Potts Model ◽  
Flow Through ◽  
Liquid Foam

Flow through a narrow bent channel may induce topological rearrangements in a two-dimensional monodispersed dry liquid foam. We use the Cellular Potts Model to simulate a foam under a variable driving force in order to investigate the strain-rate response from these rearrangements. We observe a set of foams' behaviors ranging from elastic, viscoelastic to fluid regime. Bubble's topological rearrangements are localized and their cumulative rearrangements change linearly with time, thus nonavalanches critical behavior is found. The strain-rate affects the rate of topological rearrangements, its dependence on the drag force is nonlinear, obeying a Herschel–Bulkley-like relationship below the foam's flow point.

Sign in / Sign up

Export Citation Format

Share Document