Aging dynamics in interacting many-body systems
| Autor: | Sanders, Lloyd P., Lomholt, Michael A., Lizana, Ludvig, Fogelmark, Karl, Metzler, Ralf, Ambjörnsson, Tobias |
|---|---|
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | New J. Phys. 16 113050 (2014) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1367-2630/16/11/113050 |
| Popis: | Low-dimensional, complex systems are often characterized by logarithmically slow dynamics. We study the generic motion of a labeled particle in an ensemble of identical diffusing particles with hardcore interactions in a strongly disordered, one-dimensional environment. Each particle in this single file is trapped for a random waiting time $\tau$ with power law distribution $\psi(\tau)\simeq\tau^{-1- \alpha}$, such that the $\tau$ values are independent, local quantities for all particles. From scaling arguments and simulations, we find that for the scale-free waiting time case $0<\alpha<1$, the tracer particle dynamics is ultra-slow with a logarithmic mean square displacement (MSD) $\langle x^2(t)\rangle\simeq(\log t)^{1/2}$. This extreme slowing down compared to regular single file motion $\langle x^2(t)\rangle\simeq t^{1/2}$ is due to the high likelihood that the labeled particle keeps encountering strongly immobilized neighbors. For the case $1<\alpha<2$ we observe the MSD scaling $\langle x^2(t)\rangle\simeq t^{\gamma}$, where $\gamma<1/2$, while for $\alpha>2$ we recover Harris law $\simeq t^{1/2}$. Comment: 5 pages, 4 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|