  We study thermal rectifying effect in two dimensional (2D) systems consisting
of the Frenkel Kontorva (FK) lattice and the Fermi-Pasta-Ulam (FPU) lattice. It
is found that the rectifying effect is related to the asymmetrical interface
thermal resistance. The rectifying efficiency is typically about two orders of
magnitude which is large enough to be observed in experiment. The dependence of
rectifying efficiency on the temperature and temperature gradient is studied.
The underlying mechanism is found to be the match and mismatch of the spectra
of lattice vibration in two parts.
