1 research outputs found
Interface dynamics for layered structures
We investigate dynamics of large scale and slow deformations of layered
structures. Starting from the respective model equations for a non-conserved
system, a conserved system and a binary fluid, we derive the interface
equations which are a coupled set of equations for deformations of the
boundaries of each domain. A further reduction of the degrees of freedom is
possible for a non-conserved system such that internal motion of each domain is
adiabatically eliminated. The resulting equation of motion contains only the
displacement of the center of gravity of domains, which is equivalent to the
phase variable of a periodic structure. Thus our formulation automatically
includes the phase dynamics of layered structures. In a conserved system and a
binary fluid, however, the internal motion of domains turns out to be a slow
variable in the long wavelength limit because of concentration conservation.
Therefore a reduced description only involving the phase variable is not
generally justified.Comment: 16 pages; Latex; revtex aps; one figure. Revision: screened coulomb
interaction with coulomb limi