Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class
We analyze the thermodynamic Casimir effect in strongly anizotropic systems from the vectorial $N\to\infty$ class in a slab geometry. Employing the imperfect (mean-field) Bose gas as a representative example, we demonstrate the key role of spatial dimensionality $d$ in determining the character o...
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2021-06-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.4.2.016 |
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doaj-c6205c31824346468b14e66db5a03d7d2021-06-07T12:02:12ZengSciPostSciPost Physics Core2666-93662021-06-014201610.21468/SciPostPhysCore.4.2.016Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ classMaciej Łebek, Paweł JakubczykWe analyze the thermodynamic Casimir effect in strongly anizotropic systems from the vectorial $N\to\infty$ class in a slab geometry. Employing the imperfect (mean-field) Bose gas as a representative example, we demonstrate the key role of spatial dimensionality $d$ in determining the character of the effective fluctuation-mediated interaction between the confining walls. For a particular, physically conceivable choice of anisotropic dispersion and periodic boundary conditions, we show that the Casimir force at criticality as well as within the low-temperature phase is repulsive for dimensionality $d\in (\frac{5}{2},4)\cup (6,8)\cup (10,12)\cup\dots$ and attractive for $d\in (4,6)\cup (8,10)\cup \dots$. We argue, that for $d\in\{4,6,8\dots\}$ the Casimir interaction entirely vanishes in the scaling limit. We discuss implications of our results for systems characterized by $1/N>0$ and possible realizations in the context of quantum phase transitions.https://scipost.org/SciPostPhysCore.4.2.016 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Maciej Łebek, Paweł Jakubczyk |
| spellingShingle |
Maciej Łebek, Paweł Jakubczyk Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class SciPost Physics Core |
| author_facet |
Maciej Łebek, Paweł Jakubczyk |
| author_sort |
Maciej Łebek, Paweł Jakubczyk |
| title |
Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class |
| title_short |
Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class |
| title_full |
Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class |
| title_fullStr |
Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class |
| title_full_unstemmed |
Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class |
| title_sort |
thermodynamic casimir forces in strongly anisotropic systems within the $n\to \infty$ class |
| publisher |
SciPost |
| series |
SciPost Physics Core |
| issn |
2666-9366 |
| publishDate |
2021-06-01 |
| description |
We analyze the thermodynamic Casimir effect in strongly anizotropic systems
from the vectorial $N\to\infty$ class in a slab geometry. Employing the
imperfect (mean-field) Bose gas as a representative example, we demonstrate the
key role of spatial dimensionality $d$ in determining the character of the
effective fluctuation-mediated interaction between the confining walls. For a
particular, physically conceivable choice of anisotropic dispersion and
periodic boundary conditions, we show that the Casimir force at criticality as
well as within the low-temperature phase is repulsive for dimensionality $d\in
(\frac{5}{2},4)\cup (6,8)\cup (10,12)\cup\dots$ and attractive for $d\in
(4,6)\cup (8,10)\cup \dots$. We argue, that for $d\in\{4,6,8\dots\}$ the
Casimir interaction entirely vanishes in the scaling limit. We discuss
implications of our results for systems characterized by $1/N>0$ and possible
realizations in the context of quantum phase transitions. |
| url |
https://scipost.org/SciPostPhysCore.4.2.016 |
| work_keys_str_mv |
AT maciejłebekpawełjakubczyk thermodynamiccasimirforcesinstronglyanisotropicsystemswithinthentoinftyclass |
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1721391372650414080 |