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@ARTICLE{Eisenriegler:824052,
      author       = {Eisenriegler, E. and Burkhardt, T. W.},
      title        = {{C}asimir interaction of rodlike particles in a
                      two-dimensional critical system},
      journal      = {Physical review / E},
      volume       = {94},
      number       = {3},
      issn         = {2470-0045},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2016-06676},
      pages        = {032130},
      year         = {2016},
      abstract     = {We consider the fluctuation-induced interaction of two
                      thin, rodlike particles, or “needles,” immersed in a
                      two-dimensional critical fluid of Ising symmetry right at
                      the critical point. Conformally mapping the plane containing
                      the needles onto a simpler geometry in which the stress
                      tensor is known, we analyze the force and torque between
                      needles of arbitrary length, separation, and orientation.
                      For infinite and semi-infinite needles we utilize the
                      mapping of the plane bounded by the needles onto the half
                      plane, and for two needles of finite length we use the
                      mapping onto an annulus. For semi-infinite and infinite
                      needles the force is expressed in terms of elementary
                      functions, and we also obtain analytical results for the
                      force and torque between needles of finite length with
                      separation much greater than their length. Evaluating
                      formulas in our approach numerically for several needle
                      geometries and surface universality classes, we study the
                      full crossover from small to large values of the separation
                      to length ratio. In these two limits the numerical results
                      agree with results for infinitely long needles and with
                      predictions of the small-particle operator expansion,
                      respectively.},
      cin          = {ICS-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)ICS-2-20110106},
      pnm          = {551 - Functional Macromolecules and Complexes (POF3-551)},
      pid          = {G:(DE-HGF)POF3-551},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000384078100002},
      pubmed       = {pmid:27739769},
      doi          = {10.1103/PhysRevE.94.032130},
      url          = {https://juser.fz-juelich.de/record/824052},
}