The Random-Cluster Model by Geoffrey Grimmett

2007 ◽  
Vol 75 (2) ◽  
pp. 273-273
Author(s):  
Olle Häggström
Keyword(s):  
Cluster Model ◽  
Random Cluster Model ◽  
Random Cluster

Numerical analysis of Pt utilization in PEMFC catalyst layer using random cluster model

2006 ◽  
Vol 51 (15) ◽  
pp. 3091-3096 ◽  
Author(s):  
Z.D. Wei ◽  
H.B. Ran ◽  
X.A. Liu ◽  
Y. Liu ◽  
C.X. Sun ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Cluster Model ◽  
Catalyst Layer ◽  
Random Cluster Model ◽  
Random Cluster ◽  
Pt Utilization

scholarly journals Connectivity properties of the random-cluster model

2016 ◽  
Vol 681 ◽  
pp. 012014
Author(s):  
Martin Weigel ◽  
Eren Metin Elci ◽  
Nikolaos G. Fytas
Keyword(s):  
Cluster Model ◽  
Random Cluster Model ◽  
Random Cluster

Percolation of a random network by statistical physics method

2019 ◽  
Vol 30 (02n03) ◽  
pp. 1950009
Author(s):  
Hai Lin ◽  
Jingcheng Wang
Keyword(s):  
Ising Model ◽  
Cluster Model ◽  
Statistical Physics ◽  
Random Network ◽  
Critical Phenomenon ◽  
Analytical Framework ◽  
Critical Value ◽  
Giant Component ◽  
Random Cluster Model ◽  
Random Cluster

In this paper, we develop an analytical framework and analyze the percolation properties of a random network by introducing statistical physics method. To adequately apply the statistical physics method on the research of a random network, we establish an exact mapping relation between a random network and Ising model. Based on the mapping relation and random cluster model (RCM), we obtain the partition function of the random network and use it to compute the size of the giant component and the critical value of the present probability. We extend this approach to investigate the size of remaining giant component and the critical phenomenon in the random network which is under a certain random attack. Numerical simulations show that our approach is accurate and effective.

scholarly journals Potts q-color field theory and scaling random cluster model

2011 ◽  
Vol 852 (1) ◽  
pp. 149-173 ◽  
Author(s):  
Gesualdo Delfino ◽  
Jacopo Viti
Keyword(s):  
Field Theory ◽  
Cluster Model ◽  
Random Cluster Model ◽  
Random Cluster ◽  
Color Field

scholarly journals Single-cluster dynamics for the random-cluster model

2009 ◽  
Vol 80 (3) ◽  
Author(s):  
Youjin Deng ◽  
Xiaofeng Qian ◽  
Henk W. J. Blöte
Keyword(s):  
Cluster Model ◽  
Random Cluster Model ◽  
Random Cluster ◽  
Single Cluster

An Empirical Random-Cluster Model for Subway Channels Based on Passive Measurements in UMTS

2016 ◽  
Vol 64 (8) ◽  
pp. 3563-3575 ◽  
Author(s):  
Xuesong Cai ◽  
Xuefeng Yin ◽  
Xiang Cheng ◽  
Antonio Perez Yuste
Keyword(s):  
Cluster Model ◽  
Random Cluster Model ◽  
Random Cluster ◽  
Passive Measurements

scholarly journals On the Coupling Time of the Heat-Bath Process for the Fortuin–Kasteleyn Random–Cluster Model

2017 ◽  
Vol 170 (1) ◽  
pp. 22-61 ◽  
Author(s):  
Andrea Collevecchio ◽  
Eren Metin Elçi ◽  
Timothy M. Garoni ◽  
Martin Weigel
Keyword(s):  
Cluster Model ◽  
Heat Bath ◽  
Random Cluster Model ◽  
Random Cluster ◽  
Coupling Time

scholarly journals Information percolation and cutoff for the random‐cluster model

2020 ◽  
Vol 57 (3) ◽  
pp. 770-822
Author(s):  
Shirshendu Ganguly ◽  
Insuk Seo
Keyword(s):  
Cluster Model ◽  
Random Cluster Model ◽  
Random Cluster
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