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Site-wise dynamic defects in a non-conserving exclusion process
by Nikhil Bhatia, Arvind Kumar Gupta
Submission summary
| Authors (as registered SciPost users): | Arvind Kumar Gupta |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202404_00035v2 (pdf) |
| Date submitted: | 2024-11-25 13:43 |
| 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
Author comments upon resubmission
Dear Editor,
We sincerely thank you for reviewing our manuscript, "Site-wise dynamic defects in a non-conserving exclusion process." Your detailed comments and insightful suggestions have been incredibly valuable in helping us refine our work. We deeply appreciate your thoughtful feedback, which has enhanced the clarity and rigor of our study. Your contributions have significantly strengthened the overall quality of our manuscript, and we are grateful for your effort and expertise. All corrections in the manuscript are highlighted in red text.
Response to the comments of Reviewer 1
Reviewer #1: 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.
Response to the comments of Reviewer 2
Reviewer #2: 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.
Comment 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. Response: Thank you for your feedback. We have enhanced the sizes of the figures to make it more visible.
Comment 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. Response: Thank you for your insightful comment. We have incorporated a discussion in the conclusion section to explain the physics behind the variation in the number of stationary phases. The added text has been highlighted in red for your reference.
List of changes
1. We have enhanced the sizes of the figures to make it more visible as pointed out by the reviewer # 2.
2. In response to the comment # 2 of reviewer # 2, we have incorporated a discussion in the conclusion section to explain the physics behind the variation in the number of stationary phases. The added text has been highlighted in red for your reference.