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Note updated: 10-28-2024

Statistical physics of social dynamics

Claudio Castellano, Santo Fortunato, Vittorio Loreto   (2009)

Summary

Framework

Ising model

  • Given the Hamiltonian, wouldn't that mean that agents are biased towards being whatever is set to the negative state?
    • TODO: Read "Stat phys of soc dyn" section on this wayy more thoroughly
    • TODO: try with toy example

Network topology

  • Agents sit on vertices of a network, and the edges define possible interaction patterns
  • Types of synthetic network models
    • Random graph (ER model)
    • Small-world
    • Scale-freea
  • Prototype homogenous network model is the random graph (ER model)

Dynamical systems

Notes

  • Discusses several aspects of the basic question: "how do the interactions between social agents create order out of an initial disordered situation?"
    • Order meaning consensus, agreement, uniformity
  • Key factor: agents interact and this tends to make people more similar; repeated interactions lead to higher degrees of homogeneity
  • The modeling of social agents using simple models involves a large amount of simplification; the investigation of social dynamics models invovles two levels of difficulty:
    • Defining sensible and realistic microscopic models
    • Inferring macroscopic phenomenology out of the microscopic dynamics of such models
  • While justifiably receiving criticism for too much simplification, statistical physics models of social systems
  • Common theme of social dynamics is the transition from an initial disordered state to a configuration that displays order