Thermally driven classical Heisenberg model in one dimension with a local time-varying field

TL;DR

This study investigates how a local time-varying magnetic field influences thermal transport in a one-dimensional classical Heisenberg model, revealing resonance phenomena and limitations in thermal pumping.

Contribution

It demonstrates the presence of thermal resonance and multiresonance peaks in the energy current, and shows the system cannot function as a heat pump under periodic forcing.

Findings

Thermal resonance occurs at specific forcing frequencies.

Multiple resonance peaks emerge with increased forcing amplitude.

Reversed thermal current does not enable heat pumping.

Abstract

We study thermal transport in the one dimensional classical Heisenberg model driven by boundary heat baths in presence of a local time varying magnetic field that acts at one end of the system. The system is studied numerically using an energy conserving discrete-time odd even dynamics. We find that the steady state energy current shows thermal resonance as the frequency of the time- periodic forcing is varied. When the amplitude of the forcing field is increased the system exhibits multiple resonance peaks instead of a single peak. Both single and multiresonance survive in the thermodynamic limit and their magnitudes increase as the average temperature of the system is decreased. Finally we show that, although a reversed thermal current can be made to flow through the bulk for a certain range of the forcing frequency, the system fails to behave as a heat pump, thus revalidating the fact that thermal pumping is generically absent in such force-driven lattices.