Effect of correlation time of the colored noise in negative differential thermal resistance in Frenkel-Kontorova lattices

Negative differential thermal resistance (NDTR) in Frenkel-Kontorova lattices with colored noise is investigated by means of numerical calculations. The results indicate that: (i) as the system has less atoms and is symmetric, the thermal current and heat conductivity becomes bigger with the decrease of correlation time. (ii) As the system with less atoms is asymmetric, the NDTR phenomenon only exists in some specific values of correlation time. (iii) When the lattice has the same on-site potential and different lattice period, NDTR phenomenon can also occur when with colored noise bath. Our results have the implication that the correlation time plays a crucial role in the designs of thermal devices. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014