Rounding of the localization transition in model porous media
arXiv:1411.1895 · doi:10.1039/C4SM02334J
Abstract
The generic mechanisms of anomalous transport in porous media are investigated by computer simulations of two-dimensional model systems. In order to bridge the gap between the strongly idealized Lorentz model and realistic models of porous media, two models of increasing complexity are considered: a cherry-pit model with hard-core correlations as well as a soft-potential model. An ideal gas of tracer particles inserted into these structures is found to exhibit anomalous transport which extends up to several decades in time. Also, the self-diffusion of the tracers becomes suppressed upon increasing the density of the systems. These phenomena are attributed to an underlying percolation transition. In the soft potential model the transition is rounded, since each tracer encounters its own critical density according to its energy. Therefore, the rounding of the transition is a generic occurrence in realistic, soft systems.
arXiv comment10 pages, 12 figures
References in corpus (24)
- Anomalous transport in the crowded world of biological cells
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Geometry-controlled kinetics
- Localization Transition of the Three-Dimensional Lorentz Model and Continuum Percolation
- Conductivity Exponent and Backbone Dimension in 2-d Percolation
- 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
- Anomalous Dynamic Arrest in a Mixture of Big and Small Particles
- 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
- Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
- Localization dynamics of fluids in random confinement
- Slow Dynamics in Ion-Conducting Sodium Silicate Melts: Simulation and Mode-Coupling Theory
- Mapping the glassy dynamics of soft spheres onto hard-sphere behavior
- Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
- Anomalous transport resolved in space and time by fluorescence correlation spectroscopy
- Entangled-like Chain Dynamics in Non-entangled Polymer Blends with Large Dynamic Asymmetry
- Solution of the Percus-Yevick equation for hard discs
- Dynamic arrest in model porous media -- intermediate scattering functions
- Tests of mode coupling theory in a simple model for two-component miscible polymer blends
- Localization phenomena in models of ion-conducting glass formers
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- Active colloidal propulsion over a crystalline surface
- Dynamics of bacteria scanning a porous environment
- Dimensional study of the dynamical arrest in a random Lorentz gas
- Anomalous magneto-transport in disordered structures: classical edge-state percolation
- Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
- Diffusion-influenced reaction rates in the presence of pair interactions
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- Dynamic heterogeneities and non-Gaussian behavior in two-dimensional randomly confined colloidal fluids
- Nonmonotonous classical magneto-conductivity of a two-dimensional electron gas in a disordered array of obstacles
- Crowding of interacting fluid particles in porous media through molecular dynamics: breakdown of universality for soft interactions
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- Jamming vs. Caging in Three Dimensional Jamming Percolation
- Fluid flow through packings of elastic shells
- Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential: A time-reversal-symmetry-preserving field-theoretic approach
- Continuum Percolation on Disoriented Surfaces: the Problem of Permeable Disks on a Klein Bottle
- Finite-size effects in the diffusion dynamics of a glass-forming binary mixture with large size ratio