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Monitoring Spatial Segregation in Surface Colonizing Microbial Populations
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Continuous utility factor in segregation models.

Parna Roy1, Parongama Sen1

  • 1Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India.

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Summary
This summary is machine-generated.

This study introduces two models for social segregation, revealing that considering actual utility values (Model B) leads to larger segregated clusters compared to using only the utility sign (Model A). Model B avoids frozen states, unlike Model A.

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Area of Science:

  • Sociology
  • Computational Social Science
  • Statistical Physics

Background:

  • The Schelling model explains social segregation.
  • Previous models often used discrete utility factors.

Purpose of the Study:

  • To explore social segregation using a constrained Schelling model with continuous utility factors and nonlocal jumps.
  • To compare segregation behavior between two proposed models: one using the sign of utility and another using actual utility values.

Main Methods:

  • Developed two models (A and B) for the constrained Schelling model.
  • Model A: Jump probability based on the sign of utility (discrete equivalent).
  • Model B: Jump probability based on the actual continuous utility values.

Main Results:

  • Model A yields smaller clusters and can result in a 'frozen state' with unsatisfied agents.
  • Model B produces significantly larger segregated clusters, quantitatively shown by correlation functions.
  • Model B prevents frozen states, even with low tolerance and dilution, unlike previous models.

Conclusions:

  • The way utility is defined (sign vs. actual value) drastically impacts segregation dynamics and phase transitions.
  • Model B offers a more robust segregation outcome with larger clusters and no frozen states.
  • The study highlights the importance of continuous utility values in segregation models and explores novel dynamical aspects.