Correction: Abramov, R. The Random Gas of Hard Spheres. J 2019, 2, 162–205
List of Changes
- Equation (162) and the following sentence are changed as follows:
- The sentence following Equation (165) is changed as follows:“We can apply the formula above to our set-up by setting , , , , and from Equation (156).”
- Equation (167) is changed as follows:
- The first sentence in Section 6.2 is changed as follows:“Above in Equation (167), we can formally assume that the contact zone is ‘thin’ that is, so that, for the values of r for which , we have , .”
- Equation (169) is changed as follows:
- Equation (170) is changed as follows, with the new sentence appended immediately after it:
- The last sentence before Section 7 is changed as follows:“This sets , …”
- Equation (172) is changed as follows:
- Equation (173) is changed as follows:
- Equation (175), together with the preceding sentence, are changed as follows:We also note that
- Equation (180) is changed as follows:
- Equations (185a) and (185b) are changed as follows:
- Equations (187a) and (187b) are changed as follows:
- Equation (188) is changed as follows:
- Equations (189a) and (189b) are changed as follows:
- Equations (197a) and (197b) are changed as follows:
- Equations (198a)–(198d) are changed as follows:
- Equations (199a) and (199b) are changed as follows:
- Equations (201a) and (201b) are changed as follows:
- Equation (202), together with the preceding sentence, are changed as follows:Above, we take advantage of the fact that, for or ,
- Equations (203a)–(203d) are changed as follows:
- Equations (204a) and (204b) are changed as follows:
- Equations (205a) and (205b) are changed as follows:
- Equations (206a)–(206c) are changed as follows:
- The paragraph preceding Equations (207a)–(207c), as well as Equations (207a)–(207c), are removed. In the next paragraph, the reference [2] (which is [46] in the updated manuscript) is provided for cavity distribution functions for hard spheres.The main results of [1] are unchanged, and the summary remains the same.
Conflicts of Interest
References
- Abramov, R. The Random Gas of Hard Spheres. J 2019, 2, 162–205. [Google Scholar] [CrossRef] [Green Version]
- Boublík, T. Hard-Sphere Radial Distribution Function from the Residual Chemical Potential. Molec. Phys. 2006, 104, 3425–3433. [Google Scholar] [CrossRef]
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Share and Cite
Abramov, R.V. Correction: Abramov, R. The Random Gas of Hard Spheres. J 2019, 2, 162–205. J 2020, 3, 324-328. https://0-doi-org.brum.beds.ac.uk/10.3390/j3030025
Abramov RV. Correction: Abramov, R. The Random Gas of Hard Spheres. J 2019, 2, 162–205. J. 2020; 3(3):324-328. https://0-doi-org.brum.beds.ac.uk/10.3390/j3030025
Chicago/Turabian StyleAbramov, Rafail V. 2020. "Correction: Abramov, R. The Random Gas of Hard Spheres. J 2019, 2, 162–205" J 3, no. 3: 324-328. https://0-doi-org.brum.beds.ac.uk/10.3390/j3030025