Thermal rectification induced by geometrical asymmetry: A two-dimensional multiparticle Lorentz gas model

Nonmonotonic dependence of thermal conductivity on surface roughness: A multiparticle Lorentz gas model

Utilizing surface roughness to manipulate thermal transport has aided important developments in thermoelectrics and heat dissipation in microelectronics. In this paper, through a multiparticle Lorentz gas model, it is found that thermal conductivity oscillates with the increase of surface roughness, and the oscillating thermal conductivity gradually disappears with the increase of nonlinearity. The transmittance analyses reveal that the oscillating thermal conductivity is caused by localized particles due to boundary effects. Nonlinearity will gradually break the localization. Thus, localization still exists in the weak nonlinear system, where there exists an interplay between nonlinear interaction and localization. Furthermore, it is also found that boundary shapes have a great influence on the oscillating thermal conductivity. Finally, we have also studied the oscillating thermal rectification effects caused by rough boundaries. This study gains insight into the boundary effect on thermal transport and provides a mechanism to manipulate thermal conductivity.

Interface thermal resistance induced by geometric shape mismatch: A multiparticle Lorentz gas model

Poor heat dissipation caused by interface thermal resistance (ITR, or Kapitza resistance) has long been the bottleneck that limits the further miniaturization of integrated circuit. In this paper, different from previous studies on ITR induced by conjunction of two different materials, the ITR of a homogeneous stepped system is studied through the multiparticle Lorentz gas model. It is found that ITR can be triggered by pure geometric shape mismatch, and decreases when the degree of mismatch decreases. The ITRs for forward and backward transport are asymmetrical; thus, thermal rectification effect is also obtained in this system. Moreover, the effects of absolute width, width ratio, mean temperature, and temperature difference on ITR and thermal rectification effect are discussed. The ITR induced by geometric shape mismatch provides physics for interfacial thermal transport.

Ballistic thermal rectification in asymmetric homojunctions

Ballistic thermal rectification is of significance for the management of thermal transport at the nanoscale since the size of thermal devices shrinks down to the phonon mean free path. By using the single-particle Lorentz gas model, the ballistic thermal transport in asymmetric homojunctions is investigated. The ballistic thermal rectification of the asymmetric rectangular homojunction is enhanced by the increasing structural asymmetry. A hyperbolic tangent profile is introduced to the interface to study the effect of interface steepness on thermal transport. We find that the thermal rectification ratio increases with the decreasing interface steepness, indicating that a gradual interface is of benefit to increase the thermal rectification. Moreover, the thermal rectification of the asymmetric homojunction can be improved by either increasing the temperature gradient or decreasing the average temperature of two heat sources.

Perturbation theory of thermal rectification

In this paper, a perturbation theory of thermal rectification is developed for a thermal system where an effective thermal conductivity throughout the system can be identified and changes smoothly and slightly. This theory provides an analytical formula of the thermal rectification ratio with rigorous mathematical derivations and physical assumptions. The physical meanings and limitations of the present theory are discussed in detail. Furthermore, a physical relationship among the thermal rectification, system length, temperature difference, and thermal conductivity is built. It reveals the linear relationship between the thermal rectification ratio and temperature difference. Also, the size dependence of the thermal rectification relies on the specific form of the thermal conductivity. In addition, several previous experimental and numerical observations are well explained by this theory.

Thermal Hall effect from a modified Lorentz gas model

We systematically investigate the thermal Hall effect in a Lorentz gas model with rotating circular scatterers; the rotating scatterers play a role similar to the magnetic field. The modified Lorentz gas model is a normal thermal transport system that satisfies Fourier law: the thermal conductivity is independent of the model length. We find that the intensity of the Hall effect changes its sign when the rotating direction of disks changes and it is independent of the magnitude of longitudinal temperature difference and only dependent of the average longitudinal temperature: it decreases with increasing the average temperature, especially at low angular velocity. The thermal Hall effect found in the modified Lorentz gas will help us understand the mechanism of the thermal Hall system and provide guidance for the application of the thermal Hall effect.