Strong mobility in weakly disordered systems
Abstract
We study transport of interacting particles in weakly disordered media. Our one-dimensional system includes (i) disorder, the hopping rate governing the movement of a particle between two neighboring lattice sites is inhomogeneous, and (ii) hard core interaction, the maximum occupancy at each site is one particle. We find that over a substantial regime, the root-mean-square displacement of a particle s grows superdiffusively with time t, {sigma}{approx}({epsilon}t){sup 2/3}, where {epsilon} is the disorder strength. Without disorder the particle displacement is subdiffusive, {sigma} {approx}t{sup 1/4}, and therefore disorder strongly enhances particle mobility. We explain this effect using scaling arguments, and verify the theoretical predictions through numerical simulations. Also, the simulations show that regardless of disorder strength, disorder leads to stronger mobility over an intermediate time regime.
- Authors:
-
- Los Alamos National Laboratory
- BOSTON UNIV
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 956403
- Report Number(s):
- LA-UR-09-00815; LA-UR-09-815
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US201013%%145
- DOE Contract Number:
- AC52-06NA25396
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters; Journal ID: ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 GENERAL AND MISCELLANEOUS; PARTICLE MOBILITY; TRANSPORT; LANL
Citation Formats
Ben-naim, Eli, and Krapivsky, Pavel. Strong mobility in weakly disordered systems. United States: N. p., 2009.
Web. doi:10.1103/PhysRevLett.102.190602.
Ben-naim, Eli, & Krapivsky, Pavel. Strong mobility in weakly disordered systems. United States. https://doi.org/10.1103/PhysRevLett.102.190602
Ben-naim, Eli, and Krapivsky, Pavel. 2009.
"Strong mobility in weakly disordered systems". United States. https://doi.org/10.1103/PhysRevLett.102.190602. https://www.osti.gov/servlets/purl/956403.
@article{osti_956403,
title = {Strong mobility in weakly disordered systems},
author = {Ben-naim, Eli and Krapivsky, Pavel},
abstractNote = {We study transport of interacting particles in weakly disordered media. Our one-dimensional system includes (i) disorder, the hopping rate governing the movement of a particle between two neighboring lattice sites is inhomogeneous, and (ii) hard core interaction, the maximum occupancy at each site is one particle. We find that over a substantial regime, the root-mean-square displacement of a particle s grows superdiffusively with time t, {sigma}{approx}({epsilon}t){sup 2/3}, where {epsilon} is the disorder strength. Without disorder the particle displacement is subdiffusive, {sigma} {approx}t{sup 1/4}, and therefore disorder strongly enhances particle mobility. We explain this effect using scaling arguments, and verify the theoretical predictions through numerical simulations. Also, the simulations show that regardless of disorder strength, disorder leads to stronger mobility over an intermediate time regime.},
doi = {10.1103/PhysRevLett.102.190602},
url = {https://www.osti.gov/biblio/956403},
journal = {Physical Review Letters},
issn = {0031-9007},
number = ,
volume = ,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 2009},
month = {Thu Jan 01 00:00:00 EST 2009}
}
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