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| 001 | 890364 | ||
| 005 | 20240610120129.0 | ||
| 024 | 7 | _ | |a 10.1103/PhysRevE.103.012120 |2 doi |
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| 024 | 7 | _ | |a 2470-0045 |2 ISSN |
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| 037 | _ | _ | |a FZJ-2021-00909 |
| 082 | _ | _ | |a 530 |
| 100 | 1 | _ | |a Burkhardt, T. W. |0 P:(DE-HGF)0 |b 0 |
| 245 | _ | _ | |a Two-dimensional critical systems with mixed boundary conditions: Exact Ising results from conformal invariance and boundary-operator expansions |
| 260 | _ | _ | |a Woodbury, NY |c 2021 |b Inst. |
| 264 | _ | 1 | |3 online |2 Crossref |b American Physical Society (APS) |c 2021-01-19 |
| 264 | _ | 1 | |3 print |2 Crossref |b American Physical Society (APS) |c 2021-01-01 |
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| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
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| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a With conformal-invariance methods, Burkhardt, Guim, and Xue studied the critical Ising model, defined on the upper half plane y>0 with different boundary conditions a and b on the negative and positive x axes. For ab=−+ and f+, they determined the one- and two-point averages of the spin σ and energy ε. Here +,−, and f stand for spin-up, spin-down, and free-spin boundaries, respectively. The case +−+−+⋯, where the boundary condition switches between + and − at arbitrary points, ζ1,ζ2,⋯ on the x axis was also analyzed. In the first half of this paper a similar study is carried out for the alternating boundary condition +f+f+⋯ and the case −f+ of three different boundary conditions. Exact results for the one- and two-point averages of σ,ε, and the stress tensor T are derived with conformal-invariance methods. From the results for ⟨T⟩, the critical Casimir interaction with the boundary of a wedge-shaped inclusion is derived for mixed boundary conditions. In the second half of the paper, arbitrary two-dimensional critical systems with mixed boundary conditions are analyzed with boundary-operator expansions. Two distinct types of expansions—away from switching points of the boundary condition and at switching points—are considered. Using the expansions, we express the asymptotic behavior of two-point averages near boundaries in terms of one-point averages. We also consider the strip geometry with mixed boundary conditions and derive the distant-wall corrections to one-point averages near one edge due to the other edge. Finally we confirm the consistency of the predictions obtained with conformal-invariance methods and with boundary-operator expansions, in the the first and second halves of the paper. |
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| 542 | _ | _ | |i 2021-01-19 |2 Crossref |u https://link.aps.org/licenses/aps-default-license |
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| 700 | 1 | _ | |a Eisenriegler, E. |0 P:(DE-Juel1)130628 |b 1 |e Corresponding author |
| 773 | 1 | 8 | |a 10.1103/physreve.103.012120 |b American Physical Society (APS) |d 2021-01-19 |n 1 |p 012120 |3 journal-article |2 Crossref |t Physical Review E |v 103 |y 2021 |x 2470-0045 |
| 773 | _ | _ | |a 10.1103/PhysRevE.103.012120 |g Vol. 103, no. 1, p. 012120 |0 PERI:(DE-600)2844562-4 |n 1 |p 012120 |t Physical review / E |v 103 |y 2021 |x 2470-0045 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/890364/files/EV11863PUBLISHED.pdf |y OpenAccess |
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