Dynamic arrest in model porous media -- intermediate scattering functions

Abstract

Heterogeneous media constitute random disordered environments where transport is drastically hindered. Employing extensive molecular dynamics simulations, we investigate the spatio-temporal dynamics of tracer particles in the Lorentz model in the vicinity of the localization transition. There transport becomes anomalous and non-gaussian due to the presence of self-similar spatial structures, and dynamic scaling behavior is anticipated. The interplay of different time and length scales is revealed by the intermediate scattering functions, which are sensitive both to the underlying spatial fractal as well as the anomalous transport. We compare our numerical results in the transition regime to a mode-coupling approach, and find that certain aspects are surprisingly well predicted.

References in corpus (27)

• Localization Transition of the Three-Dimensional Lorentz Model and Continuum Percolation
• Channel Formation and Intermediate Range Order in Sodium Silicate Melts and Glasses
• Liquid-glass transition of a fluid confined in a disordered porous matrix: A mode-coupling theory
• A cluster mode-coupling approach to weak gelation in attractive colloids
• Multiple Glasses in Asymmetric Binary Hard Spheres
• The dynamics of sodium in sodium disilicate: Channel relaxation and sodium diffusion
• A Double-Transition Scenario for Anomalous Diffusion in Glass-Forming Mixtures
• Relaxation Scenarios in a Mixture of Large and Small Spheres: Dependence on the Size Disparity
• Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media
• Anomalous Dynamic Arrest in a Mixture of Big and Small Particles
• Single-particle and collective slow dynamics of colloids in porous confinement
• Highly accelerated simulations of glassy dynamics using GPUs: caveats on limited floating-point precision
• Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model
• The Localization Transition of the Two-Dimensional Lorentz Model
• Slow dynamics in random media: Crossover from glass to localization transition
• Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
• Tagged-particle dynamics in a fluid adsorbed in a disordered porous solid: interplay between the diffusion-localization and liquid-glass transitions
• Slow Dynamics in Ion-Conducting Sodium Silicate Melts: Simulation and Mode-Coupling Theory
• Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
• Anomalous transport resolved in space and time by fluorescence correlation spectroscopy
• Mode-coupling theory predictions for the dynamical transitions of the partly pinned fluid systems
• Completely monotone solutions of the mode-coupling theory for mixtures
• Persistent memory for a Brownian walker in a random array of obstacles
• Impact of random obstacles on the dynamics of a dense colloidal fluid
• Dynamics of interacting Brownian particles: a diagrammatic formulation
• Mobile particles in an immobile environment: Molecular Dynamics simulation of a binary Yukawa mixture
• Space-resolved dynamics of a tracer in a disordered solid

Cited by in corpus (13)

• Anomalous transport in the crowded world of biological cells
• Anomalous dynamics of intruders in a crowded environment of mobile obstacles
• Localization dynamics of fluids in random confinement
• Characterizing anomalous diffusion in crowded polymer solutions and gels over five decades in time with variable-lengthscale fluorescence correlation spectroscopy
• Splitting of the universality class of anomalous transport in crowded media
• Rounding of the localization transition in model porous media
• Tuning the Selective Permeability of Polydisperse Polymer Networks
• Dimensional study of the dynamical arrest in a random Lorentz gas
• Mode-coupling theory for multiple decay channels
• Tagged-particle motion in a dense confined liquid
• Random motion of a circle microswimmer in a random environment
• Anomalous transport in the soft-sphere Lorentz model
• Dynamics of fluids in quenched-random potential energy landscapes: a mode-coupling theory approach