ICTS

The celebrated Fourier Law of heat conduction, which describes diffusive heat transport in numerous real systems breaks down for one-dimensional systems (1D). This implies the thermal conductivity of 1D systems diverge with the system size and energy transport is super-diffusive. In this talk, I will discuss one-dimensional anomalous energy transport by studying analytically tractable microscopic models. I will first focus on understanding the differences in transport of integrable and non-integrable systems and further, describe super diffusive transport in particular microscopic non-integrable models using fractional diffusion equation (analogous to Heat equation for diffusive transport).