SciPost Submission Page
Multispecies totally asymmetric simple exclusion process with long-range swap
by Eunghyun Lee
Submission summary
| Authors (as registered SciPost users): | Eunghyun Lee |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202509_00002v1 (pdf) |
| Date submitted: | Sept. 1, 2025, 11:34 a.m. |
| Submitted by: | Eunghyun Lee |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
I, as a non-native English speaker, made use of ChatGPT only for English editing and polishing purposes. All mathematical content, proofs, derivations, and scientific arguments were conceived, written, and verified entirely by the authors.
Abstract
We introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the forward-jump rule. Although governed by local dynamics, the model induces effective long-range particle exchanges. We establish its integrability by proving two-particle reducibility and showing that the associated scattering matrix satisfies the Yang-Baxter equation. In addition, we derive explicit contour integral formulas for transition probabilities. These results position the long-range swap model as a novel exactly solvable multispecies process, characterized by distinctive algebraic features and opening new directions for further study in integrable probability and statistical mechanics.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Reports on this Submission
Strengths
2 Explicit contour integral formulas for transition probabilities
Weaknesses
2 No physics motivation for introducing this model
Report
including a dynamical phase transition discussed in generic terms in A. Lazarescu, Generic dynamical phase transition in one-dimensional bulk-driven lattice gases with exclusion, J. Phys. A 50, 254004 (2017).
With such a revision I would recommend publication, even though I feel that the paper might be more appropriate for SciPost core.
Requested changes
1 Provide a physical motivation for introducing this model, e.g. by discussing the two papers mentioned in the report.
Recommendation
Ask for minor revision
Strengths
1- Clean final result, eq. (65), (61), from which asymptotic analysis appears plausible.
Weaknesses
1- Yet another integrable variant of the exclusion process, without a clear physical motivation, such as whether a new large scale behaviour is expected compared to earlier models.
Report
The paper is reasonably well written, with an introduction explaining the dynamics of the model in a clear way.
The paper is however quite technical. Additionally, the paper ultimately deals only with some variant of a model solved before, with a final result quite similar in structure to earlier results for other kinds of multispecies exclusion processes. As such, I think that the paper would be a better fit for SciPost Physics Core.
Requested changes
1- It would be useful to write explicitly how the coefficients A_sigma in your case differ from those of the earlier multispecies TASEP.
2-Multispecies exclusion processes are related to q-deformed SU(N) quantum groups, and a nested Bethe ansatz procedure is generally used to diagonalize the generator of the evolution. On the other hand, your formula (65) for the propagator involves a single set of Bethe rapidities. Can you comment on this ?
Recommendation
Accept in alternative Journal (see Report)