# The Phase Diagram for a Multispecies Left-Permeable Asymmetric Exclusion Process

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## Abstract

We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a previous work. In most phases, we observe the phenomenon of dynamical expulsion of one or more species. We explain the density profiles in each phase using interacting shocks. This explanation is corroborated by simulations.

## Keywords

Asymmetric exclusion process Left-permeable Multispecies Phase diagram Interacting shocks Dynamical expulsion## Notes

### Acknowledgements

We thank the referees for a number of useful suggestions. The first and third authors are supported by UGC Centre for Advanced Studies (Grant No. F. 510/25/CAS-II/2018(SAP-I)). The first author was also partly supported by Department of Science and Technology Grant EMR/2016/006624.

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