  We study dissipative effects due to inertial forces acting on matter fields
confined to accelerated boundaries in $1+1$, $2+1$, and $3+1$ dimensions. These
matter fields describe the internal degrees of freedom of `mirrors' and impose,
on the surfaces where they are defined, boundary conditions on a fluctuating
`vacuum' field. We construct different models, involving either scalar or Dirac
matter fields coupled to a vacuum scalar field, and use effective action
techniques to calculate the strength of dissipation. In the case of massless
Dirac fields, the results could be used to describe the inertial forces on an
accelerated graphene sheet.
