Physics

Dr. Abhishek Dhar
ICTS, Bangalore

Abstract : It is now generally believed that heat transport in one-dimensional systems is anomalous and that Fourier's law of heat conduction is not valid. A rigorous understanding of this fact has been lacking. A recent theory of fluctuating hydrodynamics makes detailed predictions on the form of equilibrium correlations of conserved quantities in one-dimensional anharmonic chains. Using the connection between transport coefficients and equilibrium correlations, which is suggested by the Green-Kubo formula, one then hopes to be able to understand anomalous heat transport in one dimension. In this talk, the theoretical predictions of fluctuating hydrodynamics will be explained, and some results on numerical tests will be presented.