Journal Article

FZJ-2023-04058

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Critical behavior in rectangles with mixed boundaries

Eisenriegler, E. (Corresponding author)FZJ*

2023
Inst. Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevE.108.044133  doi:10.34734/FZJ-2023-04058

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.

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Contributing Institute(s):

1. Theoretische Physik der Lebenden Materie (IBI-5)
2. Theorie der Weichen Materie und Biophysik (IAS-2)

Research Program(s):

1. 5243 - Information Processing in Distributed Systems (POF4-524) (POF4-524)

Appears in the scientific report 2023

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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