دورية أكاديمية
Phase transition in anisotropic holographic superfluids with arbitrary dynamical critical exponent z and hyperscaling violation factor $$\alpha $$ α
| العنوان: | Phase transition in anisotropic holographic superfluids with arbitrary dynamical critical exponent z and hyperscaling violation factor $$\alpha $$ α |
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| المؤلفون: | Miok Park, Jiwon Park, Jae-Hyuk Oh |
| المصدر: | European Physical Journal C: Particles and Fields, Vol 77, Iss 11, Pp 1-12 (2017) |
| بيانات النشر: | SpringerOpen, 2017. |
| سنة النشر: | 2017 |
| المجموعة: | LCC:Astrophysics LCC:Nuclear and particle physics. Atomic energy. Radioactivity |
| مصطلحات موضوعية: | Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| الوصف: | Abstract Einstein-scalar-U(2) gauge field theory is considered in a spacetime characterized by $$\alpha $$ α and z, which are the hyperscaling violation factor and the dynamical critical exponent, respectively. We consider a dual fluid system of such a gravity theory characterized by temperature T and chemical potential $$\mu $$ μ . It turns out that there is a superfluid phase transition where a vector order parameter appears which breaks SO(3) global rotation symmetry of the dual fluid system when the chemical potential becomes a certain critical value. To study this system for arbitrary z and $$\alpha $$ α , we first apply Sturm–Liouville theory and estimate the upper bounds of the critical values of the chemical potential. We also employ a numerical method in the ranges of $$1 \le z \le 4$$ 1 ≤ z ≤ 4 and $$0 \le \alpha \le 4$$ 0 ≤ α ≤ 4 to check if the Sturm–Liouville method correctly estimates the critical values of the chemical potential. It turns out that the two methods are agreed within 10 percent error ranges. Finally, we compute free energy density of the dual fluid by using its gravity dual and check if the system shows phase transition at the critical values of the chemical potential $$\mu _\mathrm{c}$$ μ c for the given parameter region of $$\alpha $$ α and z. Interestingly, it is observed that the anisotropic phase is more favored than the isotropic phase for relatively small values of z and $$\alpha $$ α . However, for large values of z and $$\alpha $$ α , the anisotropic phase is not favored. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1434-6044 1434-6052 |
| Relation: | http://link.springer.com/article/10.1140/epjc/s10052-017-5382-8; https://doaj.org/toc/1434-6044; https://doaj.org/toc/1434-6052 |
| DOI: | 10.1140/epjc/s10052-017-5382-8 |
| URL الوصول: | https://doaj.org/article/5031e13a667b497b89c953fb0f28ab10 |
| رقم الأكسشن: | edsdoj.5031e13a667b497b89c953fb0f28ab10 |
| قاعدة البيانات: | Directory of Open Access Journals |
Find this article in full text from Springer Verlag. 
Full Text Finder | تدمد: | 14346044 14346052 |
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| DOI: | 10.1140/epjc/s10052-017-5382-8 |