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| 001 | 1017346 | ||
| 005 | 20240610120056.0 | ||
| 024 | 7 | _ | |a 10.1103/PhysRevE.108.044133 |2 doi |
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| 100 | 1 | _ | |a Eisenriegler, Erich |0 P:(DE-Juel1)130628 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Critical behavior in rectangles with mixed boundaries |
| 260 | _ | _ | |a Woodbury, NY |c 2023 |b Inst. |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 520 | _ | _ | |a Density profiles are investigated arising in a critical Ising model in two dimensions which is confined to a rectangular domain with uniform or mixed boundary conditions and arbitrary aspect ratio. For the cases in which the two vertical sides of the rectangle have up-spin boundary conditions + and the two horizontal sides with either down-spin boundary conditions − or with free-spin boundary conditions f, exact results are presented for the density profiles of the energy and the order parameter which display a surprisingly rich behavior. The new results follow by means of conformal transformations from known results in the half plane with +−+−+ and +f+f+ boundary conditions. The corners with mixed boundary conditions lead to interesting behavior, even in the limit of a half-infinite strip. The behavior near these corners can be described by a “corner-operator-expansion,” which is discussed in the second part of the paper. The analytic predictions agree very well with simulations, with no adjustable parameters. |
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| 773 | _ | _ | |a 10.1103/PhysRevE.108.044133 |g Vol. 108, no. 4, p. 044133 |0 PERI:(DE-600)2844562-4 |n 4 |p 044133 |t Physical review / E |v 108 |y 2023 |x 2470-0045 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/1017346/files/PUBLISHED_RECTANGLES.pdf |y OpenAccess |
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