| Issue |
EPL
Volume 133, Number 4, February 2021
|
|
|---|---|---|
| Article Number | 40002 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/133/40002 | |
| Published online | 31 March 2021 | |
Stroboscopic exclusion process: A first-moment–driven dynamics
1 Institut de Recherche en Mathématique et Physique, Université catholique de Louvain Louvain-la-Neuve B-1348, Belgium
2 The Rudolf Peierls Centre for Theoretical Physics, Oxford University - Oxford OX1 3PU, UK
Received: 27 October 2020
Accepted: 18 January 2021
We define a new variant of exclusion processes in discrete time that has jump probabilities that depend on the last jump performed. In a particular limit for the jump probabilities and in suitable scaling limits for space and time, we compute the time evolution of the particle density starting from an arbitrary initial configuration, with closed boundary conditions. The core of the argument is the analysis of the time evolution of the moments. Numerical results are compared with the prediction and give excellent agreement.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.60.-k – Transport processes / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© 2021 EPLA
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