SciPost Submission Page
Site-wise dynamic defects in a non-conserving exclusion process
by Nikhil Bhatia, Arvind Kumar Gupta
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Arvind Kumar Gupta |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202404_00035v1 (pdf) |
| Date submitted: | 2024-04-22 14:10 |
| Submitted by: | Gupta, Arvind Kumar |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Motivated by the significant influence of the defects in the dynamics of the natural or man-made transportation systems, we propose an open, dynamically disordered, totally asymmetric simple exclusion process featuring bulk particle attachment and detachment. The site-wise dynamic defects might randomly emerge or vanish at any lattice location, and their presence slows down the motion of the particles. Using a mean-field approach, we obtain an analytical expression for both particle and defect density and validate them using Monte Carlo simulation. The study investigates the steady-state characteristics of the system, including phase transitions, analysis of boundary layers, and phase diagrams. Our approach streamlines the defect dynamics by integrating two parameters into one called the obstruction factor, which helps in determining an effective binding constant. The impact of the obstruction factor on the phase diagram is explored across various combinations of binding constants and detachment rates. A critical value of the obstruction factor is obtained, about which an infinitesimal change results in a substantial qualitative change in the structure of the phase diagrams. Further, the effect of the detachment rate is studied, and critical values along which the system observes a quantitative transition of the stationary phases are obtained as a function of the obstruction factor. Overall, the system shows stationary phases ranging from three to seven depending upon the value of the obstruction factor, the binding constant, and the detachment rate. Moreover, we scrutinized the impact of the obstruction factor on the shock dynamics and found no finite-size effect.
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
Report #2 by Anatoly Kolomeisky (Referee 2) on 2024-11-23 (Invited Report)
Strengths
This is a comprehensive theoretical/computational investigation of complex non-equilibrium multi-particle 1D transport systems. By combining mean0field analytical calculations and extensive Monte Carlo computer simulations, the authors specifically investigated a totally asymmetric exclusion model with dynamic disorder and reversible binding/unbinding of defect particles. The paper is well-written, and the results are well-explained. There is clear logic, and the conclusions are interesting. One important thing is that the authors emphasized how different their approach is from that of the existing one in the field. I like this work, and I think the results are impactful. There is a general interest in understanding non-equilibrium processes, and this work adds more insights into these important phenomena. The paper uncovers some new physics, and this is important.
Weaknesses
1) I would improve the quality of the figures. Some of them are hard to see. Symbols are too small and lines are barely visible.
2) I would add more physics explanations on why the number of stationary phases varies with the obstruction parameter. For example, one could say that increasing the parameter z makes the bulk dynamics more rate-limiting. But because other phases are also determined by entrance and exit, this should decrease the number of phases.
Report
To the best of my understanding, the paper meets the requirements of this journal.
Requested changes
1) Improve figures;
2) Add physics explanation as discussed above.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)
Report
The paper entitled 'Site-wise dynamic defects in a non-conserving exclusion process' by Nikhil Bhatia and Arvind Kumar Gupta is scientifically sound. It treats an original model of unidimensional transport with open boundaries and displaying defects. I recommend it for publication in SciPost.
Recommendation
Publish (meets expectations and criteria for this Journal)