Nanoscale heat conduction has attracted considerable attention due to the unique transport behaviors exhibited by its intrinsic heat-carrying phonons, as well as its significant potential in addressing thermal management issues in electronic devices and enhancing thermoelectric conversion efficiency. This paper reviews the research progress in nanoscale heat conduction theory and simulations over the past three decades. It particularly introduces and discusses methods based on both wave and particle perspectives, focusing on nanoscale coherent thermal conduction mechanisms. Finally, the paper analyzes the challenges facing the field of nanoscale heat conduction research and outlines potential future directions, aiming to deepen the understanding of the wave-particle duality of heat-carrying phonons and promote their application in critical areas.

We investigated spontaneous imbibition behavior in a basic bifurcated channel. The rupture and convergence of the two-phase interface in a bifurcated channel is strongly unsteady, which is hard to be described accurately with classical theories and conventional numerical calculation methods. An improved two-component pseudopotential lattice Boltzmann method was employed in simulating the unsteady spontaneous process. It shows that the width of inlet/outlet channel controls the competitive imbibition behavior in the bifurcated channel. Whereas the viscosity ratio between the wetting phase and the non-wetting phase controls the overall spontaneous imbibition behavior. The results provide a basis for quantitative characterization of spontaneous imbibition in complex pore structures.