Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation

被引:21
作者
Biswas, Soumyajyoti [1 ]
Chandra, Anjan Kumar [1 ]
Chatterjee, Arnab [2 ,3 ]
Chakrabarti, Bikas K. [1 ,4 ,5 ]
机构
[1] Saha Inst Nucl Phys, Theoret Condensed Matter Phys Div, 1-AF Bidhannagar, Kolkata 700064, India
[2] Abdus Salam Int Ctr Theoret Phys, CMSP Sect, I-34014 Trieste, Italy
[3] Univ Mediterranee Aix Marseille II, CNRS UMR 6207, Ctr Phys Theor, F-13288 Marseille 9, France
[4] Saha Inst Nucl Phys, Ctr Appl Math & Computat Sci, Kolkata 700064, India
[5] Indian Stat Inst, Econ Res Unit, Kolkata 700108, India
来源
STATPHYS-KOLKATA VII | 2011年 / 297卷
关键词
SOCIOPHYSICS;
D O I
10.1088/1742-6596/297/1/012004
中图分类号
Q5 [生物化学]; Q7 [分子生物学];
学科分类号
071010 ; 081704 ;
摘要
We review in details some recently proposed kinetic models of opinion dynamics. We discuss several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with reasonable accuracy. Using non-equilibrium relaxation techniques, we also investigate the nature of phase transitions observed in these models. We also study the nature of correlations as the critical points are approached.
引用
收藏
页数:11
相关论文
共 22 条
[1]  
[Anonymous], 2006, Econophysics and Sociophysics: Trends and Perspectives
[2]  
Biswas S, J PHYS C SERIES
[3]  
Biswas S J, 2011, ARXIV11020902V2
[4]   Statistical physics of social dynamics [J].
Castellano, Claudio ;
Fortunato, Santo ;
Loreto, Vittorio .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :591-646
[5]  
Chakrabarti A S, ARXIV11013617V1
[6]   Statistical mechanics of money: how saving propensity affects its distribution [J].
Chakraborti, A ;
Chakrabarti, BK .
EUROPEAN PHYSICAL JOURNAL B, 2000, 17 (01) :167-170
[7]   Kinetic exchange models for income and wealth distributions [J].
Chatterjee, A. ;
Chakrabarti, B. K. .
EUROPEAN PHYSICAL JOURNAL B, 2007, 60 (02) :135-149
[8]   Pareto law in a kinetic model of market with random saving propensity [J].
Chatterjee, A ;
Chakrabarti, BK ;
Manna, SS .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 335 (1-2) :155-163
[9]   Mixing beliefs among interacting agents [J].
Deffuant, G ;
Neau, D ;
Amblard, F ;
Weisbuch, G .
APPLICATIONS OF SIMULATION TO SOCIAL SCIENCES, 2000, :87-98
[10]   The sznajd consensus model with continuous opinions [J].
Fortunato, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (01) :17-24