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Nonexistence of motility induced phase separation transition in one dimension

by Indranil Mukherjee, Adarsh Raghu, P. K. Mohanty

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Submission summary

Authors (as registered SciPost users): Pradeep Kumar Mohanty
Submission information
Preprint Link: scipost_202209_00024v3  (pdf)
Date accepted: 2023-04-18
Date submitted: 2023-02-17 16:23
Submitted by: Mohanty, Pradeep Kumar
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Statistical and Soft Matter Physics
Approach: Theoretical


We introduce and study a model of hardcore particles obeying run-and-tumble dynamics on a one-dimensional lattice, where particles run in either +ve or -ve x-direction with an effective speed v and tumble (change their direction of motion) with a constant rate ω. We show that the coarse-grained dynamics of the system can be mapped to a beads-in-urn model called misanthrope process where particles are identified as urns and vacancies as beads that hop to a neighbouring urn situated in the direction opposite to the current. The hop rate is same as the magnitude of the particle current; we calculate it analytically for a two-particle system and show that it does not satisfy the criteria required for a phase separation transition. Nonexistence of phase separation in this model, where tumbling dynamics is rather restricted, necessarily imply that motility induced phase separation transition can not occur in other models in one dimension with unconditional tumbling.

Author comments upon resubmission

Dear Editor,
Thank you for giving us an opportunity to resubmit the article - we have revised the manuscript following the suggestions by all the referees . But somehow, We did not find a link to resubmit the revised manuscript. Kindly look into the matter. Please note that we have posted replies to all the referees.

Thanking you again,
with regards,
Indranil Mukherjee, Adarsh Raghu and P. K. Mohanty

List of changes

In the revised manuscript we have addressed all the comments and suggestions made by three referees. In the pdf file the changes are marked in red.

Published as SciPost Phys. 14, 165 (2023)

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