title: Motion of wave fronts in semiconductor superlattices.
abstract: An analysis of wave front motion in weakly coupled doped semiconductor superlattices is presented. If a dimensionless doping is sufficiently large, the superlattice behaves as a discrete system presenting front propagation failure and the wave fronts can be described near the threshold currents J(i) (i=1,2) at which they depin and move. The wave front velocity scales with current as |J-J(i)|(1/2). If the dimensionless doping is low enough, the superlattice behaves as a continuum system and wave fronts are essentially shock waves whose velocity obeys an equal area rule.
authors.affiliation: Departamento de Matemática Aplicada, Universidad Complutense, Madrid 28040, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Carpio
authors.forename: L L
authors.initials: LL
authors.lastname: Bonilla
authors.forename: G
authors.initials: G
authors.lastname: Dell'Acqua