Space-resolved dynamics of a tracer in a disordered solid
Source abstract
Abstract
The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test particle by extensive molecular dynamics simulations and characterize the spatio-temporal transport in terms of two-time correlation functions, including the time-dependent diffusion coefficient as well as the wavenumber-dependent intermediate scattering function. We rationalize our findings within the framework of critical phenomena and compare our data to a dynamic scaling theory.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Theoretical and Computational Physics · Material Dynamics and Properties · Glass properties and applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (52)
Show source-provided references
1. Götze · 2009
2. General properties of certain nonlinear integrodifferential equations10.1006/jmaa.1995.1352 ↗
3. Completely monotone solutions of the mode-coupling theory for mixtures10.1023/A:1019991729106 ↗
4. Relaxation rate distributions for supercooled liquids10.1021/jp983412r ↗
5. Dynamic-light-scattering study of glasses of hard colloidal spheres10.1103/PhysRevE.47.248 ↗
6. Measurement of the self-intermediate scattering function of suspensions of hard spherical particles near the glass transition10.1103/PhysRevE.58.6073 ↗
7. Nearly logarithmic decay in the colloidal hard-sphere system10.1103/PhysRevE.71.060401 ↗
8. Multiple glassy states in a simple model system10.1126/science.1068238 ↗
9. Higher-order glass-transition singularities in colloidal systems with attractive interactions10.1103/PhysRevE.63.011401 ↗
10. Testing mode-coupling predictions for alpha-relaxation and beta-relaxation in Ca0.4K0.6(NO3)1.4 near the liquid-glass transition by light-scattering10.1103/PhysRevA.45.3867 ↗
11. Evolution of structural relaxation spectra of glycerol within the gigahertz band10.1103/PhysRevE.55.3183 ↗
12. Structural relaxation in orthoterphenyl: a schematic-mode-coupling-theory-model analysis
13. Mixing effects for the structural relaxation in binary hard-sphere liquids10.1103/PhysRevLett.91.085701 ↗
14. Effect of composition changes on the structural relaxation of a binary mixture10.1103/PhysRevE.67.021502 ↗
15. Mode coupling approach to the ideal glass transition of molecular liquids: linear molecules10.1103/PhysRevE.56.2932 ↗
16. Theory for the reorientational dynamics in glass-forming liquids10.1103/PhysRevE.56.5659 ↗
17. Reference-point-independent dynamics of molecular liquids and glasses in the tensorial formalism10.1103/PhysRevE.65.051206 ↗
18. Idealized glass transitions for a system of dumbbell molecules10.1103/PhysRevE.65.041503 ↗
19. Theory of nonlinear rheology and yielding of dense colloidal suspensions10.1103/PhysRevLett.89.248304 ↗
20. First-principles constitutive equation for suspension rheology10.1103/PhysRevLett.101.138301 ↗
21. Channel formation and intermediate range order in sodium silicate melts and glasses10.1103/PhysRevLett.93.027801 ↗
22. Slow dynamics in ion-conducting sodium silicate melts: simulation and mode-coupling theory10.1209/epl/i2006-10012-2 ↗
23. Anomalous dynamic arrest in a mixture of large and small particles10.1103/PhysRevE.74.021409 ↗
24. Mobile particles in an immobile environment: Molecular dynamics simulation of a binary yukawa mixture10.1209/0295-5075/77/26001 ↗
25. Single-particle and collective slow dynamics of colloids in porous confinement10.1103/PhysRevLett.103.138303 ↗
26. Slow dynamics in random media: crossover from glass to localization transition10.1209/0295-5075/88/36002 ↗
27. Liquid-glass transition of a fluid confined in a disordered porous matrix: a mode-coupling theory10.1103/PhysRevLett.94.065703 ↗
28. Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media10.1103/PhysRevE.75.031503 ↗
29. Double transition scenario for anomalous diffusion in glass-forming mixtures10.1103/PhysRevLett.103.205901 ↗
30. Tagged-particle dynamics in a fluid adsorbed in a disordered porous solid: interplay between the diffusion-localization and liquid-glass transitions10.1103/PhysRevE.79.061501 ↗
31. Dynamical theory of diffusion and localization in a random, static field10.1103/PhysRevA.23.2634 ↗
32. Correlation functions of the hard-sphere Lorentz model10.1103/PhysRevA.24.1008 ↗
33. Diffusion and localization in the two-dimensional Lorentz model10.1103/PhysRevA.25.533 ↗
34. S. Papenkort, F. Höfling, T. Franosch, T. Voigtmann, in preparation.
35. Stauffer · 1994
36. Non-universal threshold behaviour of random resistor networks with anomalous distributions of conductances10.1088/0022-3719/15/11/014 ↗
37. Diffusion and long-time tails in the overlapping Lorentz gas10.1103/PhysRevA.32.3164 ↗
38. Differences between lattice and continuum percolation transport exponents10.1103/PhysRevLett.54.2391 ↗
39. Properties of the density relaxation function in classical diffusion models with percolation transition10.1088/0305-4470/16/18/010 ↗
40. Localization transition of the three-dimensional Lorentz model and continuum percolation10.1103/PhysRevLett.96.165901 ↗
41. Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems10.1209/0295-5075/84/66002 ↗
42. Le mouvement des electrons dans les metaux
43. Non-analytic density behaviour of the diffusion coefficient of a Lorentz gas II10.1016/0031-8914(68)90060-8 ↗
44. Long time behaviour of the velocity auto-correlation function in a Lorentz gas10.1016/0375-9601(71)90987-X ↗
45. Crossover in the slow decay of dynamic correlations in the Lorentz model10.1103/PhysRevLett.98.140601 ↗
46. Logarithmic terms in the diffusion coefficient for the Lorentz gas10.1103/PhysRevLett.29.1670 ↗
47. Frenkel · 2001
48. P.H. Colberg, F. Höfling, Accelerating glassy dynamics on graphics processing units, arXiv:0912.3824 [physics.comp-ph] (2009)
49. M. Spanner, Transport in the correlated Lorentz model, Diploma thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg (2010)
50. Critical dynamics of ballistic and Brownian particles in a heterogeneous environment10.1063/1.2901170 ↗
51. T. Bauer, F. Höfling, T. Munk, E. Frey, T. Franosch, Localization transition in the two-dimensional Lorentz model, arXiv:1003.2918 [cond-mat.soft].
52. F. Höfling, K.-U. Bamberg, T. Franosch, Anomalous transport resolved in space and time by fluorescence correlation spectroscopy, arXiv:1003.3762 [cond-mat.soft].