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Modeling and Imaging 3-Dimensional Collective Cell Invasion
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Published on: December 7, 2011

Dynamic opinion model and invasion percolation.

Jia Shao1, Shlomo Havlin, H Eugene Stanley

  • 1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Physical Review Letters
|August 8, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a nonconsensus opinion model where clustered agents maintain stable opinions, even for minorities. The model exhibits a phase transition, forming large, invasion-resistant opinion clusters similar to incompressible fluids.

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Area of Science:

  • Sociophysics
  • Network Science
  • Computational Social Science

Background:

  • Traditional opinion models often predict consensus or polarization.
  • Understanding stable coexistence of diverse opinions is crucial for social dynamics.

Purpose of the Study:

  • To introduce and analyze a novel "nonconsensus" opinion model.
  • To investigate the conditions for stable coexistence of multiple opinions within agent networks.
  • To explore the emergent properties and universality class of this opinion dynamics model.

Main Methods:

  • Agent-based modeling on various network structures (lattices, complex networks, real-world social networks).
  • Simulation of opinion propagation and cluster formation.
  • Analysis of phase transitions and cluster stability.

Main Results:

  • The nonconsensus model facilitates the stable coexistence of two opinions through agent clustering.
  • A phase transition is observed, marked by the emergence of a large, spanning cluster of a single opinion above a critical concentration threshold.
  • Opinion clusters demonstrate resilience against invasion by opposing opinions, akin to incompressible fluids.

Conclusions:

  • The proposed nonconsensus model provides a mechanism for sustained opinion diversity in social systems.
  • The model's phase transition behavior and cluster stability suggest a connection to universality classes like invasion percolation.
  • Agent clustering and community support are key factors in maintaining opinion coexistence.