2019
DOI: 10.1103/physreve.100.052121
|View full text |Cite
|
Sign up to set email alerts
|

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

Abstract: Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced. In this BASEP, hard rods are driven by a constant drag force through a periodic potential with an amplitude much larger than the thermal energy. Here we derive general properties … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
20
0

Year Published

2020
2020
2024
2024

Publication Types

Select...
5
1
1

Relationship

2
5

Authors

Journals

citations
Cited by 17 publications
(20 citation statements)
references
References 79 publications
(108 reference statements)
0
20
0
Order By: Relevance
“…II we present an analytical treatment of densities and currents for the overdamped one-dimensional Brownian motion of particles with arbitrary pair interactions. This section partly summarizes results presented earlier [55,56] and introduces the small-driving approximation used subsequently for our investigation of hardcore interacting particles. It also contains our proofs on the absence of current reversals for general pair interactions.…”
Section: Introductionmentioning
confidence: 90%
See 3 more Smart Citations
“…II we present an analytical treatment of densities and currents for the overdamped one-dimensional Brownian motion of particles with arbitrary pair interactions. This section partly summarizes results presented earlier [55,56] and introduces the small-driving approximation used subsequently for our investigation of hardcore interacting particles. It also contains our proofs on the absence of current reversals for general pair interactions.…”
Section: Introductionmentioning
confidence: 90%
“…For hardcore interactions, the small-driving approximation (SDA) turned out to be particularly successful in capturing qualitative behaviors of j ss (ρ, σ) [56]. The approximation is carried out in two steps.…”
Section: B Small-driving Approximationmentioning
confidence: 99%
See 2 more Smart Citations
“…density. In addition, blocking effects can lead to a further slowing down with increasing ρ [28,29]. Indeed, we have seen indications of a hopping motion and jamming in the measured trajectories for large U 0 and high densities, see videos in the Supplemental Material [20].…”
mentioning
confidence: 95%