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Updated: Nov 22, 2025

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Diffusive Resettlement: Irreversible Urban Transitions in Closed Systems.

Bohdan Slavko1, Mikhail Prokopenko1, Kirill S Glavatskiy1

  • 1Centre for Complex Systems, The University of Sydney, Sydney, NSW 2006, Australia.

Entropy (Basel, Switzerland)
|January 6, 2021
PubMed
Summary
This summary is machine-generated.

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This study models city evolution using a non-equilibrium framework, treating intra-urban migration as diffusion. It reveals two population groups with distinct relocation patterns, enabling long-term spatial structure predictions.

Area of Science:

  • Urban dynamics
  • Statistical physics
  • Computational social science

Background:

  • Understanding urban evolution is crucial for sustainable city planning.
  • Existing models often simplify complex intra-urban population dynamics.
  • Migration patterns significantly shape a city's spatial structure over time.

Purpose of the Study:

  • To develop a novel non-equilibrium framework for modeling city evolution.
  • To analyze intra-urban migration as an irreversible diffusive process.
  • To predict long-term spatial structures and equilibrium population distributions.

Main Methods:

  • Developed a non-equilibrium theoretical framework.
  • Modeled intra-urban migration as a diffusive process.
  • Validated the framework using migration data from Australian capital cities.
Keywords:
diffusionequilibriumhuman migrationintra-urban relocationirreversible thermodynamicsrelaxationurban modelling

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Main Results:

  • The framework successfully models city evolution based on migration data.
  • Identified two distinct population groups with different relocation frequencies.
  • Interpreted these groups as components of a binary fluid mixture with unique relaxation times.

Conclusions:

  • The proposed non-equilibrium framework provides a robust method for studying urban dynamics.
  • The binary fluid analogy offers new insights into population heterogeneity and mobility.
  • The model enables accurate long-term predictions of urban spatial structures and population distributions.