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We investigate thermal transport in a two segment classical Heisenberg spinchain with nearest neighbor interaction and in presence of external magneticfield using computer simulation. The system is thermally driven by heat bathsattached at the two ends and transport properties are studied using an energyconserving dynamics. We demonstrate that by properly tuning the parametersthermal rectification can be achieved - the system behaves as a good conductorof heat along one direction but becomes a bad conductor when the thermalgradient is reversed and crucially depends on nonlinearity and spatialasymmetry. Moreover, suitable tuning of the system parameters gives rise to thecounterintuitive and technologically important feature known as the negativedifferential thermal resistance (NDTR). We find that the crucial factorresponsible for the emergence of NDTR is a suitable mechanism to impede thecurrent in the bulk of the system.

Thermal Rectification and Negative Differential Thermal Resistance in a driven two segment classical Heisenberg chain