A simple model of confinement-induced freezing in thin liquid layers i
s presented. Under boundary conditions of vanishing displacement field
at the walls, confinement suppresses the amplitude of fluctuations in
a solid film below a critical value determined by the Lindemann crite
rion of melting. The resulting increase of the melting temperature com
pared to that of a bulk solid, is estimated and the connection with ex
periments is discussed. (C) 1997 Elsevier Science Ltd.