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Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid
by Sakineh Mizani, Martin Oettel, Péter Gurin, Szabolcs Varga
Submission summary
| Authors (as registered SciPost users): | Péter Gurin · Sakineh Mizani · Martin Oettel · Szabolcs Varga |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2409.10742v2 (pdf) |
| Date accepted: | 2024-12-10 |
| Date submitted: | 2024-12-09 09:59 |
| Submitted by: | Gurin, Péter |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study equilibrium states and ordering regimes of a quasi-one-dimensional system of hard superdisks (anisotropic particles interpolating between disks and squares) where the centers of the particles are constrained to move on a line. A continuous change from a quasi-isotropic to a tetratic regime is found upon increasing the density. Somewhat unexpected, for isobaric states, systems with larger and more anisotropic particles in the tetratic regime are denser than systems with smaller and less anisotropic particles in a quasi-isotropic regime. Close packing behaviour is characterised by exponents describing the behaviour of the pressure, the angular fluctuations and the angular correlation length. We obtain two universal, shape-independent relations between them.
Author comments upon resubmission
List of changes
According to the requests of the Referees, we have done the following changes.
1. Eqs. 2a and 2b are corrected.
2. The de Broglie thermal wavelength is included in Eq. 7, thus the dimensionality is correct.
3. Our initial guess for the eigenfunction is corrected. (pg. 5)
4. Fig. 5 is changed, for the details see our response to report #1. According to the new figure, the discussion about d_{max} is removed from the main text.
5. We include information about the highest pressure simulated, and a sentence about the errors, see the caption of Fig. 3.
6. To avoid confusion, we defined explicitly what we mean by the different entropy terms (pg. 9 from line 2 to line 10.), according to our response to report #1. Moreover, also in the Introduction we everywhere refer to the "packing vs. orientational entropy" competition, instead of the translational entropy.
7. We removed the criticized discussion about the strongly and weakly jammed states, together with Fig. 9. of the original manuscript.
8. On pg. 2 of the Introduction, the second sentence of paragraph 2 has been rephrased to improve context.
9. Ref. 33 of the original manuscript is removed.
10. The typos mentioned in report #1 (points 14 and 15) are corrected.
11. According to the request of report #2 we everywhere replaced the term "phase" by "regime" and the "phase changes" is replaced by "crossover".
12. The list of references is corrected according to the points 2, 3 and 4 of report #2.
13. A "Data and code availability" subsection is included at the end of the manuscript.
Current status:
Editorial decision:
For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)