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@ARTICLE{Eisenriegler:1017346,
      author       = {Eisenriegler, Erich},
      title        = {{C}ritical behavior in rectangles with mixed boundaries},
      journal      = {Physical review / E},
      volume       = {108},
      number       = {4},
      issn         = {2470-0045},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2023-04058},
      pages        = {044133},
      year         = {2023},
      abstract     = {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.},
      cin          = {IBI-5 / IAS-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IBI-5-20200312 / I:(DE-Juel1)IAS-2-20090406},
      pnm          = {5243 - Information Processing in Distributed Systems
                      (POF4-524)},
      pid          = {G:(DE-HGF)POF4-5243},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {37978636},
      UT           = {WOS:001095367500003},
      doi          = {10.1103/PhysRevE.108.044133},
      url          = {https://juser.fz-juelich.de/record/1017346},
}