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We calculated the critical Casimir force in a 2D Ising strip, finding a dramatic increase in interactions under specific thermodynamic conditions. This has implications for understanding biomembrane behavior.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • The critical Casimir force describes interactions between objects in critical fluids.
  • Understanding these forces is crucial for systems like biomembranes exhibiting critical behavior.

Purpose of the Study:

  • To calculate the critical Casimir force for a 2D Ising strip with strong surface fields.
  • To investigate the force's behavior under non-zero bulk fields (h≠0).
  • To determine the critical Casimir force and potential for two disks using the Derjaguin approximation.

Main Methods:

  • Quasiexact numerical density-matrix renormalization-group (DMRG) techniques.
  • Application of the Derjaguin approximation.

Main Results:

  • A dramatic increase in critical Casimir interactions was observed when varying temperature along isofields between bulk coexistence and capillary condensation critical points.
  • The temperature dependence of these interactions differs qualitatively from the h=0 case.
  • Calculated critical Casimir force and potential for two disks.

Conclusions:

  • The study reveals significant changes in critical Casimir forces under specific thermodynamic paths (h≠0).
  • Findings suggest relevance for biomembranes, potentially explaining their heterogeneity through 2D Ising universality class critical behavior.