Anomalous heat conduction and anomalous diffusion in low dimensional nanoscale systems


DOI: 10.1140/epjb/e2012-30383-8

Cite this article as:
Liu, S., Xu, X.F., Xie, R.G. et al. Eur. Phys. J. B (2012) 85: 337. doi:10.1140/epjb/e2012-30383-8


Heat conduction is an important energy transport process in nature. Phonon is the major energy carrier for heat in semiconductors and dielectric materials. In analogy to Ohm’s law of electrical conduction, Fourier’s law is the fundamental law of heat conduction in solids. Although Fourier’s law has received great success in describing macroscopic heat conduction in the past two hundred years, its validity in low dimensional systems is still an open question. Here we give a brief review of the recent developments in experimental, theoretical and numerical studies of heat conduction in low dimensional systems, including lattice models and low dimensional nanostructures such as nanowires, nanotubes and graphene. We will demonstrate that phonons transport in low dimensional systems superdiffusively, which leads to a size dependent thermal conductivity. In other words, Fourier’s law is not applicable in low dimensional structures.



Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.NUS Graduate School for Integrative Sciences and EngineeringNational University of SingaporeSingaporeRepublic of Singapore
  2. 2.Centre for Computational Science and Engineering, Graphene Research Centre, Department of PhysicsNational University of SingaporeSingaporeRepublic of Singapore
  3. 3.Key Laboratory for the Physics and Chemistry of Nanodevices and Department of ElectronicsPeking UniversityBeijingP.R. China
  4. 4.NUS-Tongji Center for Phononics and Thermal Energy Science and Department of PhysicsTongji UniversityShanghaiP.R. China