Monte Carlo Study and Mean-Field Analysis of an Interacting Two-Species Catalytic Reaction Model

2003 ◽  
Author(s):  
M. A. Sanservino
Keyword(s):  
Monte Carlo ◽  
Catalytic Reaction ◽  
Mean Field ◽  
Monte Carlo Study ◽  
Reaction Model ◽  
Field Analysis

scholarly journals Mean-field analysis and Monte Carlo study of an interacting two-species reaction model

1997 ◽  
Vol 56 (4) ◽  
pp. 3953-3958 ◽  
Author(s):  
K. S. Brown ◽  
K. E. Bassler ◽  
D. A. Browne
Keyword(s):  
Monte Carlo ◽  
Mean Field ◽  
Monte Carlo Study ◽  
Reaction Model ◽  
Field Analysis

scholarly journals Three-species monomer-monomer model: A mean-field analysis and Monte Carlo study

1997 ◽  
Vol 55 (5) ◽  
pp. 5225-5233 ◽  
Author(s):  
Kevin E. Bassler ◽  
Dana A. Browne
Keyword(s):  
Monte Carlo ◽  
Mean Field ◽  
Monte Carlo Study ◽  
Field Analysis

scholarly journals Effects of homophily and heterophily on preferred-degree networks: mean-field analysis and overwhelming transition

2022 ◽  
Vol 2022 (1) ◽  
pp. 013402
Author(s):  
Xiang Li ◽  
Mauro Mobilia ◽  
Alastair M Rucklidge ◽  
R K P Zia
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Social Interaction ◽  
Monte Carlo Simulations ◽  
Network Structure ◽  
Mean Field Theory ◽  
Mean Field ◽  
Field Analysis ◽  
Long Time

Abstract We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents’ opinions are fixed, they have a preferred degree which leads them to endlessly create and delete links. Our evolving network is shaped by homophily/heterophily, a form of social interaction by which individuals tend to establish links with others having similar/dissimilar opinions. Using Monte Carlo simulations and a detailed mean-field analysis, we investigate how the sizes of the communities and the degree of homophily/heterophily affect the network structure. In particular, we show that when the network is subject to enough heterophily, an ‘overwhelming transition’ occurs: individuals of the smaller community are overwhelmed by links from the larger group, and their mean degree greatly exceeds the preferred degree. This and related phenomena are characterized by the network’s total and joint degree distributions, as well as the fraction of links across both communities and that of agents having fewer edges than the preferred degree. We use our mean-field theory to discuss the network’s polarization when the group sizes and level of homophily vary.

scholarly journals Mean-Field and Monte Carlo Study of a Mixed Ferro-Ferrimagnetic Ternary Alloy

2008 ◽  
Vol 113 (1) ◽  
pp. 461-464 ◽  
Author(s):  
J. Dely ◽  
A. Bobák ◽  
D. Horváth
Keyword(s):  
Monte Carlo ◽  
Ternary Alloy ◽  
Mean Field ◽  
Monte Carlo Study
Sign in / Sign up

Export Citation Format

Share Document