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]
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-
R. Lipowsky.
Surface-induced disorder and surface melting.
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''Magnetic Properties of Low-dimensional systems II.''
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(Springer, 1990).
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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).