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@TECHREPORT{Wagner:841225,
      author       = {Wagner, H. and Horner, H.},
      title        = {{E}lastic interaction and phase transition in coherent
                      metal-hydrogen systems},
      volume       = {1039},
      number       = {Juel-1039-FF},
      address      = {Jülich},
      publisher    = {Kernforschungsanlage Jülich, Verlag},
      reportid     = {FZJ-2017-08317, Juel-1039-FF},
      series       = {Berichte der Kernforschungsanlage Jülich},
      pages        = {95 p.},
      year         = {1974},
      abstract     = {We study the statistical mechanics.of hydrogen dissolved in
                      metals. The underlying model is based on the assumption that
                      the dominant attractive interaction between the protons in
                      the metal is of elastic nature. In the f irst part of the
                      paper we review some general properties of the elastic
                      interaction. We then discuss theimportance of boundary
                      conditions for the form of the elastic interaction, which
                      turns out to be of the Curie-Weiss type with macroscopic
                      range. In the second part we investigate the $\alpha -
                      \alpha$' ("gas-liquid") phase transition in the hydrogen
                      lattice fluid. The long-range part of the elastic
                      interaction is treated in mean f ieldapproximation. In the
                      canonical ensemble as opposed to the grand canonical
                      ensemble one f inds no coexisting phases near the critical
                      point. Instead there is a continuous transition which
                      changes into a first-order transition at tricritical points.
                      In the temperature-density region which normally corresponds
                      to the two-phase coexistence region the hydrogen density is
                      inhomogeneous and varies on a macroscopic scale. The
                      peculiar nature of the a-a' phase transition is due to the
                      long-range character of the elastic interaction, which
                      ultimately results from the requirement of coherency of the
                      host crystal. We argue that coherent metal-hydrogen systems
                      off er examples of real systems where the classical theory
                      of phase transitions applies.},
      cin          = {PRE-2000},
      cid          = {I:(DE-Juel1)PRE2000-20140101},
      pnm          = {899 - ohne Topic (POF3-899)},
      pid          = {G:(DE-HGF)POF3-899},
      typ          = {PUB:(DE-HGF)3 / PUB:(DE-HGF)29},
      url          = {https://juser.fz-juelich.de/record/841225},
}