Subject Area

Civil Engineering, Computer Science, Engineering, General/Other, Mathematics, Applied, Physical Sciences, General/Other, Physics, Statistics, Sustainability and Development, Urban Planning

Abstract

Urban areas are increasingly exposed to natural hazards while accommodating a growing share of the global population, yet a consistent science-based framework for quantifying urban and community resilience remains lacking. This dissertation develops a physics-based analytical framework grounded in statistical mechanics and the quantitative theory of Brownian motion. A city is conceptualized as a complex medium in which citizens move analogously to Brownian particles within a viscoelastic environment, influenced by socioeconomic interactions and infrastructure functionality.

A central premise is that urban resilience, interpreted as engineering resilience (an outcome), can be quantified through a single metric: the mean-square displacement MSD=⟨r²(t)⟩, of individuals. This metric is derived from large-scale cell-phone GPS data and traffic-flow measurements. Analyses of multiple U.S. metropolitan areas subjected to major natural hazards—including hurricanes and the 2021 North American winter storm—reveal that, despite significant disruptions, MSD time histories consistently revert to their pre-event steady-state behavior immediately or within a short time, indicating an inherent resilience of large cities.

A complementary analysis using traffic-flow data demonstrates that probability density functions p(x,t) yield MSD responses that closely match those derived from GPS tracking, providing independent validation. Building on these observations, a mechanical model rooted in Langevin dynamics is introduced, establishing the proportionality ⟨r²(t)⟩ = WJ(t) between MSD and creep compliance. The model accurately predicts post-event recovery, offering a deductive framework with predictive capabilities.

Overall, this work establishes a unified approach that bridges stochastic mobility behavior with deterministic system response, providing a rigorous foundation for quantifying and predicting urban resilience.

Degree Date

Spring 5-16-2026

Document Type

Dissertation

Degree Name

Ph.D.

Department

Civil and Environmental Engineering

Advisor

Professor Nicos Makris

Second Advisor

Professor Khaled Abdelghany

Third Advisor

Professor Usama El Shamy

Fourth Advisor

Professor Emerita Sara Lynne Stokes

Fifth Advisor

Associate Professor Brett. A. Story

Number of Pages

187

Format

.pdf

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

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