Related Experiment Video
Updated: May 3, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
Multiopinion coevolving voter model with infinitely many phase transitions
Feng Shi1, Peter J Mucha1, Richard Durrett2
1Department of Mathematics, CB No. 3250, University of North Carolina, Chapel Hill, North Carolina 27599-3250, USA.
Abstract:
We consider an idealized model in which individuals' changing opinions and their social network coevolve, with disagreements between neighbors in the network resolved either through one imitating the opinion of the other or by reassignment of the discordant edge. Specifically, an interaction between x and one of its neighbors y leads to x imitating y with probability (1-α) and otherwise (i.e., with probability α) x cutting its tie to y in order to instead connect to a randomly chosen individual. Building on previous work about the two-opinion case, we study the multiple-opinion situation, finding that the model has infinitely many phase transitions (in the large graph limit with infinitely many initial opinions). Moreover, the formulas describing the end states of these processes are remarkably simple when expressed as a function of β=α/(1-α).
Related Concept Videos
Phase Transitions
Phase Transitions
Multi-input and Multi-variable systems
In the absence of...
Phase Transitions: Melting and Freezing
Phase Transitions: Vaporization and Condensation
Phase Transitions: Sublimation and Deposition

