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Traffic models and traffic-jam transition in quantum (N+1)-level systems
by Andrea Nava, Domenico Giuliano, Alessandro Papa, Marco Rossi
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Andrea Nava · Marco Rossi |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202203_00017v1 (pdf) |
| Date accepted: | 2022-03-24 |
| Date submitted: | 2022-03-14 13:20 |
| Submitted by: | Nava, Andrea |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We propose a model to implement and simulate different traffic-flow conditions in terms of quantum graphs hosting an (N+1)-level dot at each site, which allows us to keep track of the type and of the destination of each vehicle. By implementing proper Lindbladian local dissipators, we derive the master equations that describe the traffic flow in our system. To show the versatility and the reliability of our technique, we employ it to model different types of traffic flow (the symmetric three-way roundabout and the three-road intersection). Eventually, we successfully compare our predictions with results from classical models.
Published as SciPost Phys. Core 5, 022 (2022)
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2022-3-18 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202203_00017v1, delivered 2022-03-18, doi: 10.21468/SciPost.Report.4723
Report
I have looked through the changes and confirm that the authors have addressed the minor issues concerning their presentation. I thus recommend publication in SciPost Physics Core.
There are just some small details (see "Requested changes") that the authors might still wish to implement in order to ensure a smooth production process.
Requested changes
To be considered, preferably for the version going into production:
1- The statement "Despite its potentially wide applicability, the formalism based on the effective Hamiltonian $\hat{H}$ is not easy to implement, since it is not easy to compute the operator expectation values" on page 2 might be disputable since this has actually been done in previous works. The authors might thus wish to reconsider this statement.
2- Page 5, 3 lines above Eq. (5): I think there is an article "the" missing before "next Section".
3- Page 7, last but one line: remove space between "(" and "including".
4- Fig. 12: Maybe the authors have increased the size of the numbers in the blue dots, but they still look (too) small to me. Maybe the authors could try again to make both the blue dots and the numbers inside them bigger.