Dissertations, Theses, and Capstone Projects
Date of Degree
9-2025
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy
Program
Physics
Advisor
Vadim Oganesyan
Committee Members
Sarang Gopalakrishnan
Paolo Gloriosso
David Huse
Sriram Ganeshan
Vladimir Rosenhaus
Subject Categories
Condensed Matter Physics | Quantum Physics | Statistical, Nonlinear, and Soft Matter Physics
Keywords
Non-linear Diffusion, Long time tails, Kinetically constrained models, Stochastic processes, Fluctuating Hydrodynamics, Jamming
Abstract
This dissertation investigates non-linear diffusion processes and emergent dynamical phenomena in kinetically constrained lattice gases. Two central models are considered: a one-dimensional lattice gas exhibiting a diffusion cascade triggered by hydrodynamic nonlinearities and a triangular ladder exclusion model that undergoes a jamming transition. The former demonstrates stretched exponential decay consistent with non-perturbative long-time tails, while the latter illustrates how classical-quantum mappings yield insight into glassy dynamics and mobility constraints. Through a combination of numerical simulations, analytical perturbation theory, and mean-field approximations, the work uncovers mechanisms underlying anomalous transport, jamming transitions, and the breakdown of perturbative hydrodynamics.
Recommended Citation
Raj, Abhishek, "Nonlinear Diffusion, Hydrodynamic Cascades and Jamming in Kinetically Constrained Systems: Insights from Lattice Gas Models" (2025). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/6431
Included in
Condensed Matter Physics Commons, Quantum Physics Commons, Statistical, Nonlinear, and Soft Matter Physics Commons
