Multi species asymmetric simple exclusion process with impurity activated flips

Dear Editor,

We thank you and the referees for the reports and for considering our article for publication in
SciPost Physics.

We thank the first referee for finding our results interesting. We have addressed the comments of
the first referee in the corresponding reply and we have implemented the suggested changes in the
revised manuscript. In particular, the Appendix D is added to discuss the solutions for the fugacity
for special cases. Figure 2. and few references are also added in response to specific comments of
the first referee.

We thank the second referee for finding our analytical results new and interesting. We have added
the Appendix E in the revised manuscript to address the comment of the second referee regard-
ing the non-ergodicity and fragmentation of the state space, and some new references are added
accordingly in the revised manuscript.

The addition and changes in the revised manuscript are marked in blue color. We provide a list
of changes herewith. We believe that the revised manuscript meets the criterion for publication of
this manuscript in SciPost Physics.

We look forward to an affirmative and speedy response to our revised manuscript.

Yours Sincerely,
Amit Kumar Chatterjee, and Hisao Hayakawa.

i) Fig. 2 and Eq. (18) (and the paragraph containing Eq. (18) marked in blue) are included in
response to comment 2) of the first referee.

ii) Eq. (23) is added to clarify the the factorization of the steady state about the impurity, as
suggested by the first referee in comment 1).

iii) Equation (25) which was originally located in the third line after Eq. (22) in the previous
manuscript, describing density-fugacity relation, is treated as an independent equation along with
a brief discussion.

iv) Appendix D is newly added to discuss the closed form solutions of the fugacity as the solution
of Eq. (25) in the revised manuscript, for two special cases. This addresses the comment 4) of the
first referee.

v) The last paragraph in Section 4.5 is newly included to briefly discuss the non-ergodicity related
to block-diagonal structure of the transition rate matrix.

vi) Appendix E is newly added to explain the block-diagonal structure of the transition rate matrix,
to answer the comment 2. of the second referee. This is the detailed discussion for the connection
between non-ergodicity and block-diagonal structure of the transition rate matrix as indicated in v).

vii) At the end of the first paragraph of Section 5.4, a brief discussion on negative differential
mobility observed in models related to ASEP, has been included, in response to comment 5) of the
first referee.

viii) Refs. [23] and [24] have been added and cited in the second paragraph of Section. 1.

ix) Ref. [25] is added and cited after Eq. (10) and in second paragraph of Section 1.

x) Refs. [72], [73] and [74] are added and cited in last paragraph of Section. 4.5.

xi) Ref. [84] is added and cited in first paragraph of Section 5.4.