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arXiv · 1308.6381

Critical Casimir forces along the iso-fields

M. Zubaszewska·A. Maciołek·A. Drzewiński
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Abstract

Using quasi-exact numerical density-matrix renormalization-group techniques we calculate the critical Casimir force for a two-dimensional (2D) Ising strip with equal strong surface fields, along the thermodynamic paths corresponding to the fixed nonzero bulk field h<>0. Using the Derjaguin approximation we also determine the critical Casimir force and its potential for two discs. We find that varying the temperature along the iso-fields lying between the bulk coexistence and the capillary condensation critical point leads to a dramatic increase of the critical Casimir interactions with a qualitatively different functional dependence on the temperature than along h=0. These findings might be of relevance for biomembranes, whose heterogeneity is recently interpreted as being connected with a critical behavior belonging to the 2D Ising universality class.

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M. Zubaszewska, A. Maciołek, A. Drzewiński. 2013-08-29. Critical Casimir forces along the iso-fields. https://doi.org/10.1103/physreve.88.052129

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