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Article
Peer-Review Record

Hydrogen-, Helium-, and Lithium-like Bound States in Classical and Quantum Plasmas

Plasma 2023, 6(1), 1-26; https://doi.org/10.3390/plasma6010001
by Werner Ebeling 1,* and Gerd Röpke 2
Reviewer 1:
Reviewer 2: Anonymous
Reviewer 3:
Plasma 2023, 6(1), 1-26; https://doi.org/10.3390/plasma6010001
Submission received: 3 November 2022 / Revised: 29 November 2022 / Accepted: 7 December 2022 / Published: 28 December 2022
(This article belongs to the Special Issue Feature Papers in Plasma Sciences)

Round 1

Reviewer 1 Report

Resume and discussion to be improveda

 

Add recent literatures

Why calculation of osmotic coefficient is inconsistent

Concotenation of EoS should be discussed in detail

What happens when the temperature exceeds the maximum limit in the plasma region

 

Author Response

List of changes in the ms Ebeling&Roepkr 2022:

page 1 of ms: change of text in 2nd part of abstract, to be more clear.

Page 2 of ms following the advice of one referee we mentioned quark and quarkonium plasmas, ultrarelativistic sytems and neutron stars as possible fields of applications.

page 9 of ms : at the end of section 2.1. we added for clarification a sentence regarding the higher clusters

page 10 after rewriting eq. (24) in a more clear form we added also a sentence for clarity.

Page 12 we rephrased the last 3 formulae of section 2.1 in a more transparent way.

page 13 we corrected eq. (39) by an additional term und added a sentence

page 15 in same way we corrected eq. (42 - 43) and the sentences before and after

page 17 referring to the question of a referee about inconsistency of osmotic pressure we added the sentence
The small differences which we observe in the degrees of association obtained from the osmotic pressure from the result of calculations based on free energy is not a real inconsistency. The differences between calculation based on virial formula for the pressure and those based on
cluster expansions for the free energy are known for decades. They cannot be avoided since they are of principal nature, the smallness of these differences is even often used as quality criterion for the two approaches.

page 27 behind the second sentence of the conclusions we included for clarification new sentences
We follow in large Onsagers idea that physica/chemistry are like a ledger, where free- and bound - state contibutions are on different pages and need different treatments. We have, however some freedom to shift between the pages, as far as we observe the general balance. This approach is not restricted to electrolytes and plasmas, it may also be applied to other systems with bound states, such as quark-gluon plasmas with quarkonium states.

Page 28 - 29 we included some comments on and reference to recent work on application to quark and quarkonium plasmas.

We checked the text and corrected misprints. 

According to the advice of the referess we omitted a few older references
as e,g, refs. [26],[27},[34] (old) but added a new refernces mentioning applications to quark bound states and an advice to a preprint with more details, in particular diagrams and more references 

Reviewer 2 Report

This is a competent review and it deserves to be published.

Perhaps a short comparison with other plasmas including bound states, such as quark-gluon plasmas with quarkonium states, could add value to the paper.  But it is publisheable as is.

One thing is, Page format appears wrong, last line in every page is missing.

Author Response

List of changes in the ms Ebeling&Roepkr 2022:

page 1 of ms: change of text in 2nd part of abstract, to be more clear.

Page 2 of ms following the advice of one referee we mentioned quark and quarkonium plasmas, ultrarelativistic sytems and neutron stars as possible fields of applications.

page 9 of ms : at the end of section 2.1. we added for clarification a sentence regarding the higher clusters

page 10 after rewriting eq. (24) in a more clear form we added also a sentence for clarity.

Page 12 we rephrased the last 3 formulae of section 2.1 in a more transparent way.

page 13 we corrected eq. (39) by an additional term und added a sentence

page 15 in same way we corrected eq. (42 - 43) and the sentences before and after

page 17 referring to the question of a referee about inconsistency of osmotic pressure we added the sentence
The small differences which we observe in the degrees of association obtained from the osmotic pressure from the result of calculations based on free energy is not a real inconsistency. The differences between calculation based on virial formula for the pressure and those based on
cluster expansions for the free energy are known for decades. They cannot be avoided since they are of principal nature, the smallness of these differences is even often used as quality criterion for the two approaches.

page 27 behind the second sentence of the conclusions we included for clarification new sentences
We follow in large Onsagers idea that physica/chemistry are like a ledger, where free- and bound - state contibutions are on different pages and need different treatments. We have, however some freedom to shift between the pages, as far as we observe the general balance. This approach is not restricted to electrolytes and plasmas, it may also be applied to other systems with bound states, such as quark-gluon plasmas with quarkonium states.

Page 28 - 29 we included some comments on and reference to recent work on application to quark and quarkonium plasmas.

We checked the text and corrected misprints. 

According to the advice of the referess we omitted a few older references
as e,g, refs. [26],[27},[34] (old) but added a new refernces mentioning applications to quark bound states and an advice to a preprint with more details, in particular diagrams and more references 

Reviewer 3 Report

I have read the manuscript number: plasma-2042689 with title: "Hydrogen- Helium- and Lithium-like bound states in classical and quantum plasmas ", and I found that, authors have introduced very important topic in the plasma and quantum plasma branch, but I would like the authors consider the following points before I recommend publication

1- On the first page, authors firstly write abstract and key word without writing anything and after this they write their affiliations!   

2-Authors must appear their work, the novelty, and the important results that they obtain only in abstract.

3-The presentation and grammar need improvement. 

Author Response

List of changes in the ms Ebeling&Roepkr 2022:

page 1 of ms: change of text in 2nd part of abstract, to be more clear.

Page 2 of ms following the advice of one referee we mentioned quark and quarkonium plasmas, ultrarelativistic sytems and neutron stars as possible fields of applications.

page 9 of ms : at the end of section 2.1. we added for clarification a sentence regarding the higher clusters

page 10 after rewriting eq. (24) in a more clear form we added also a sentence for clarity.

Page 12 we rephrased the last 3 formulae of section 2.1 in a more transparent way.

page 13 we corrected eq. (39) by an additional term und added a sentence

page 15 in same way we corrected eq. (42 - 43) and the sentences before and after

page 17 referring to the question of a referee about inconsistency of osmotic pressure we added the sentence
The small differences which we observe in the degrees of association obtained from the osmotic pressure from the result of calculations based on free energy is not a real inconsistency. The differences between calculation based on virial formula for the pressure and those based on
cluster expansions for the free energy are known for decades. They cannot be avoided since they are of principal nature, the smallness of these differences is even often used as quality criterion for the two approaches.

page 27 behind the second sentence of the conclusions we included for clarification new sentences
We follow in large Onsagers idea that physica/chemistry are like a ledger, where free- and bound - state contibutions are on different pages and need different treatments. We have, however some freedom to shift between the pages, as far as we observe the general balance. This approach is not restricted to electrolytes and plasmas, it may also be applied to other systems with bound states, such as quark-gluon plasmas with quarkonium states.

Page 28 - 29 we included some comments on and reference to recent work on application to quark and quarkonium plasmas.

We checked the text and corrected misprints. 

According to the advice of the referess we omitted a few older references
as e,g, refs. [26],[27},[34] (old) but added a new refernces mentioning applications to quark bound states and an advice to a preprint with more details, in particular diagrams and more references 

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