scholarly journals Mean-field limits of the quantum Potts model

1983 ◽  
Vol 90 (3) ◽  
pp. 373-387 ◽  
Author(s):  
A. Cant ◽  
Paul A. Pearce
Keyword(s):  
Potts Model ◽  
Mean Field ◽  
Mean Field Limits

scholarly journals Mean field limits for interacting Hawkes processes in a diffusive regime

Bernoulli ◽  
2022 ◽  
Vol 28 (1) ◽  
Author(s):  
Xavier Erny ◽  
Eva Löcherbach ◽  
Dasha Loukianova
Keyword(s):  
Mean Field ◽  
Hawkes Processes ◽  
Diffusive Regime ◽  
Mean Field Limits

Foam Drainage: Extended Large-Q Potts Model Simulation

1996 ◽  
Vol 463 ◽  
Author(s):  
Yi Jiang ◽  
James A. Glazier
Keyword(s):  
Potts Model ◽  
Constant Velocity ◽  
Model Simulation ◽  
Mean Field ◽  
Three Dimensional ◽  
Leading Edge ◽  
Wetting Front ◽  
Fixed Amount ◽  
Front Profile ◽  
Foam Drainage

ABSTRACTWe study foam drainage using the large-Q Potts model extended to include gravity on a three dimensional lattice. Without adding liquid, homogeneously distributed liquid drains to the bottom of the foam until equilibrium between capillary effects and gravity is reached, while in an ordered dry foam, if a fixed amount of liquid is added from the top, a sharp fiat interface between the wet and dry foam develops. The wetting front profile forms a downward moving pulse, with a constant velocity. The pulse decays over time while its leading edge for a brief time behaves like a solitary wave. With continuous liquid addition from the top, the pulse does not decay and we observe a soliton front moving with a constant velocity. Continuously adding liquid to an initially wet foam keeps the liquid profile constant. Our simulations agree with both experimental data and simplified mean field analytical results for ordered foams but predict an unstable interface for disordered foams.

scholarly journals Replica-Mean-Field Limits for Intensity-Based Neural Networks

2019 ◽  
Vol 18 (4) ◽  
pp. 1756-1797
Author(s):  
François Baccelli ◽  
Thibaud Taillefumier
Keyword(s):  
Neural Networks ◽  
Mean Field ◽  
Mean Field Limits
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