  Kapitza thermal resistance is a common feature of material interfaces. It is
defined as the ratio of the thermal drop at the interface to the heat flux
flowing across the interface. One expects that this resistance will depend on
the structure of the interface and on the temperature. We address the heat
conduction in one-dimensional chain models with isotopic and/or coupling
defects and explore the relationship between the interaction potentials and
simulated properties of the Kapitza resistance. It is revealed that in linear
models the Kapitza resistance is well-defined and size-independent (contrary to
the bulk heat conduction coefficient), but depends on the parameters of
thermostats used in the simulation. For $\beta$-FPU model one also encounters
the dependence on the thermostats; in addition, the simulated boundary
resistance strongly depends on the total system size. Finally, in the models
characterized by convergent bulk heat conductivity (chain of rotators,
Frenkel-Kontorova model) the boundary resistance is thermostat- and
size-independent, as one expects. In linear chains, the Kapitza resistance is
temperature-independent; thus, its temperature dependence allows one to judge
on significance of the nonlinear interactions in the phonon scattering
processes at the interface.
