Analytically Tractable Models of one-Dimensional Anomalous Heat Transport

Student Name
Final Thesis Submission Date

Fourier's Law of heat conduction describes diffusive heat transport in numerous real systems but is known to break down in one-dimensional (1D) systems. This implies that  the thermal conductivity of 1D systems diverges with  system size and energy transport is super-diffusive. In this talk, I will discuss approaches to understanding super-diffusive transport in different set-ups. I will first focus on understanding the differences in transport in integrable and non-integrable systems. Next I will  show how super-diffusive transport in specific analytically tractable stochastic non-integrable models can be described by thefractional diffusion equation (analogous to the heat equation for diffusive transport).