Comment on "Casimir force in the O(n→∞) model with free boundary conditions"
In a recent paper by D. Dantchev, J. Bergknoff, and J. Rudnick [Phys. Rev. E 89, 042116 (2014)], the problem of the Casimir force in the O(n) model on a slab with free boundary conditions, investigated earlier by us [Europhys. Lett. 100, 10004 (2012)], is reconsidered using a mean-spherical model wi...
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| Main Authors: | , , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
17 February 2015
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| In: |
Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2015, Volume: 91, Issue: 2, Pages: 1-3 |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.91.026101 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.91.026101 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.91.026101 
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| Author Notes: | H.W. Diehl, Daniel Grüneberg, Martin Hasenbusch, Alfred Hucht, Sergei B. Rutkevich, and Felix M. Schmidt |
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| 245 | 1 | 0 | |a Comment on "Casimir force in the O(n→∞) model with free boundary conditions" |c H.W. Diehl, Daniel Grüneberg, Martin Hasenbusch, Alfred Hucht, Sergei B. Rutkevich, and Felix M. Schmidt |
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| 246 | 3 | 3 | |a Casimir force in the O(n→infinity) model with free boundary conditions |
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| 500 | |a Gesehen am 14.09.2022 | ||
| 520 | |a In a recent paper by D. Dantchev, J. Bergknoff, and J. Rudnick [Phys. Rev. E 89, 042116 (2014)], the problem of the Casimir force in the O(n) model on a slab with free boundary conditions, investigated earlier by us [Europhys. Lett. 100, 10004 (2012)], is reconsidered using a mean-spherical model with separate constraints for each layer. The authors (i) question the applicability of the Ginzburg-Landau-Wilson approach to the low-temperature regime, arguing for the superiority of their model compared to the family of ϕ4 models A and B whose numerically exact solutions we determined both for values of the coupling constant 0<g<∞ and for g=∞. They (ii) report consistency of their results with ours in the critical region and a strong manifestation of universality but (iii) point out discrepancies with our results in the region below Tc. Here we refute (i) and prove that our model B with g=∞ is identical to their spherical model. Hence evidence for the reported universality is already contained in our paper. Moreover, the results we determined for anyone of the models A and B for various thicknesses L are all numerically exact. (iii) is due to their misinterpretation of our results for the scaling limit. We also show that their low-temperature expansion, which does not hold inside the scaling regime, is limited to temperatures lower than they anticipated. | ||
| 700 | 1 | |a Grüneberg, Daniel |e VerfasserIn |0 (DE-588)135821525 |0 (DE-627)585440832 |0 (DE-576)301180423 |4 aut | |
| 700 | 1 | |a Hasenbusch, Martin |e VerfasserIn |0 (DE-588)1198238046 |0 (DE-627)1680556584 |4 aut | |
| 700 | 1 | |a Hucht, Alfred |e VerfasserIn |0 (DE-588)1237477719 |0 (DE-627)1764190394 |4 aut | |
| 700 | 1 | |a Rutkevich, Sergei B. |e VerfasserIn |4 aut | |
| 700 | 1 | |a Schmidt, Felix M. |e VerfasserIn |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Physical review. E, Statistical, nonlinear, and soft matter physics |d College Park, Md. : APS, 1993 |g 91(2015), 2, Artikel-ID 026101, Seite 1-3 |h Online-Ressource |w (DE-627)268757593 |w (DE-600)1472725-0 |w (DE-576)077609514 |x 1550-2376 |7 nnas |a Comment on "Casimir force in the O(n→∞) model with free boundary conditions" |
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| 787 | 0 | 8 | |i Ergänzung zu |a Dantchev, Daniel |t Casimir force in the O(n→∞) model with free boundary conditions |d 2014 |w (DE-627)1808705416 |
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