Aritra Kundu: Anomalous heat transport: A Fractional equation approach

In low dimensional systems heat can propagate faster than diffusion. This leads to a thermal conductivity that diverges with system size pointing to a superdiffusive transport. This leads to the question, if there is an equivalent of the heat equation which can be used to study superdiffusive transport in low dimensional systems. In this talk, I will discuss two simplified models where we establish a Fractional equation description for anomalous heat transport.