Abstract
In this paper, we consider the two-species asymmetric simple exclusion process (ASEP) consisting of N- 1 first-class particles and one second-class particle. We assume that all particles are located at arbitrary positions but the second-class particle is the rightmost particle at time t= 0. We find the exact formula of the distribution of the second-class particle’s position at time t by directly using the transition probabilities of the two-species ASEP, which is a different approach from the coupling method Tracy and Widom used in [J Phys A 42:425002, 2009].
| Original language | English |
|---|---|
| Article number | 76 |
| Journal | Journal of Statistical Physics |
| Volume | 190 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2023 |
Funding
This work was supported by the faculty development competitive research grant (021220FD4251) by Nazarbayev University.
| Funders |
|---|
| Nazarbayev University |
Keywords
- ASEP
- Multi-species
- Second-class particle
- TASEP
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
Fingerprint
Dive into the research topics of 'Distribution of a Second-Class Particle’s Position in the Two-Species ASEP with a Special Initial Configuration'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS