Critical Surface Behavior at First-Order Phase Transitions


    First-order phase transitions are characterized by the coexistence of several thermodynamic phases. The simplest example is provided by the coexistence between a liquid and a vapor phase. In this case, each of the two phases may be viewed as the disordered phase since the two phases are not distinguished by any broken symmetry. More complex examples are encountered in solids, in which the first-order phase transition exhibits a broken symmetry and one disordered phase coexists with several ordered phases.

    Now, consider any material that (i) can undergo a first-order phase transition and (ii) is bounded by a free surface or a container wall. As one approaches the transition, the bulk material undergoes abrupt or discontinuous changes whereas the surface or interfacial region may exhibit continuous changes and critical phenomena. These latter phenomena arise if the disordered phase appears in the surface region as one approaches the phase transition even though the bulk material remains ordered.
    This surface-induced disordering process was first described within molecular (or mean) field theory [1] [2] and then generalized by scaling arguments [3]. One example is provided by surface melting, which is governed by an order parameter with several components [4] [5]. Surface-induced disorder and surface melting represent wetting phenomena, in which the free surface of a solid is "wetted" by a disordered phase. [3] [6] [7]


  • R. Lipowsky.
    Surface-induced disorder and surface melting.
    In L.M. Falicov and F. Meijia-Lira and J.L. Moran-Lopez, editors,
    ''Magnetic Properties of Low-dimensional systems II.''
    Springer Proc. in Physics, vol. 50, pages 158-166 (Springer, 1990).

  • R. Lipowsky, U. Breuer, K.C. Prince, and H.P. Bonzel.
    Reply to Comment on Multicomponent order parameter for surface melting.
    Phys. Rev. Lett. 64 , 2105 (1990).

  • U. Breuer, H.P. Bonzel, K.C. Prince, and R. Lipowsky.
    LEED investigation of temperature-dependent surface order of Pb single crystal surfaces.
    Surf. Sci. 223 , 258-284 (1989).

  • R. Lipowsky, U. Breuer, K.C. Prince, and H.P. Bonzel.
    Multicomponent order parameter for surface melting.
    Phys. Rev. Lett. 62, 913-916 (1989).

  • R. Lipowsky.
    Surface critical phenomena at first-order phase transitions.
    Ferroelectrics 73, 69-81 (1987).

  • R. Lipowsky.
    Melting at surfaces and grain boundaries.
    Phys. Rev. Lett. 57 , 2876 (1986).

  • R. Lipowsky.
    Surface induced order and disorder: Critical phenomena at first-order phase transitions.
    J. Appl. Phys. 55, 2485-2490 (1984).

  • R. Lipowsky and G. Gompper.
    Interface delocalization transitions in finite systems.
    Phys. Rev. B 29 , 5213-5215 (1984).

  • R. Lipowsky.
    Long-range correlations at depinning transitions II: long-range surface fields.
    Z. Phys. B 55 , 345-351 (1984).

  • R. Lipowsky.
    Long-range correlations at depinning transitions I.
    Z. Phys. B 55 , 335-343 (1984).

  • D.M. Kroll and R. Lipowsky.
    Interface delocalization transitions in semi-infinite systems.
    Phys. Rev. B 28 , 6435-6442 (1983).

  • R. Lipowsky.
    Surface induced disordering at first-order bulk transitions.
    Z. Phys. B 51 , 165-172 (1983).

  • R. Lipowsky and W. Speth.
    Semi-infinite systems with first order bulk transitions.
    Phys. Rev. B 28 , 3983-3993 (1983).

  • R. Lipowsky.
    Critical surface phenomena at first order bulk transitions.
    Phys. Rev. Lett. 49 , 1575-1578 (1982).

  • R. Lipowsky.
    The semi-infinite Potts model: a new low temperature phase.
    Z. Phys. B 45 , 229-235 (1982).

  • R. Lipowsky.
    A renormalization group analysis of the semi-infinite Potts model.
    J. Phys. A 15 , L195-L199 (1982).