Splitting of the Universality Class of Anomalous Transport in Crowded Media

2016/01/22 by Markus Spanner, Felix Höfling, Sebastian C. Kapfer +5 · 52 citations
Materials Science · Physics and Astronomy · #Condensed matter physics #Critical exponent #Crowding #Directed percolation #Material Dynamics and Properties #NMR spectroscopy and applications #Obstacle #Percolation (cognitive psychology) #Phase transition #Physics #Quantum mechanics #Renormalization group #Statistical physics #Theoretical and Computational Physics #Theoretical physics #Universality (dynamical systems) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.116.060601

published in Physical Review Letters 116(6), 060601 (American Physical Society) · to appear in Phys. Rev. Lett

arxiv created 2016/01/22 · openalex publication_date 2016/02/12 · arxiv updated 2016/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the emergence of subdiffusive transport by obstruction in continuum models for molecular crowding. While the underlying percolation transition for the accessible space displays universal behavior, the dynamic properties depend in a subtle nonuniversal way on the transport through narrow channels. At the same time, the different universality classes are robust with respect to introducing correlations in the obstacle matrix as we demonstrate for quenched hard-sphere liquids as underlying structures. Our results confirm that the microscopic dynamics can dominate the relaxational behavior even at long times, in striking contrast to glassy dynamics.

Citations

• Liquid-Glass Transition of a Fluid Confined in a Disordered Porous Matrix: A Mode-Coupling Theory
• Relaxation scenarios in a mixture of large and small spheres: Dependence on the size disparity
• Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model
• Dynamic arrest in model porous media—intermediate scattering functions
• Space-resolved dynamics of a tracer in a disordered solid
• Theory of dynamic critical phenomena
• Packing hyperspheres in high-dimensional Euclidean spaces
• Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Anomalous transport of a tracer on percolating clusters
• Diffusion with “collisions” between particles

Cited by

• Structural-dynamic behavior of histamine in solution: the role of water models