  This paper is concerned with the large-time behavior of solutions to the
Cauchy problem of the one-dimensional compressible fluid models of Korteweg
type with density- and temperature-dependent viscosity, capillarity, and heat
conductivity coefficients, which models the motions of compressible viscous
fluids with internal capillarity. We show that the combination of the viscous
contact wave with two rarefaction waves is asymptotically stable with a large
initial perturbation if the strength of the composite wave and the heat
conductivity coefficient satisfy some smallness conditions. The proof is based
on some refined $L^2$-energy estimates to control the possible growth of the
solutions caused by the highly nonlinearity of the system, the interactions of
waves from different families and large data, and the key ingredient is to
derive the uniform positive lower and upper bounds on the specific volume and
the temperature.
