Role of conserved quantities in normal heat transport in one dimenison

Understand

Although one-dimensional systems that exhibit translational symmetry are generally believed to exhibit anomalous heat transport, previous work has shown that the model of coupled rotators on a one-dimensional lattice constitute a possible exception.

• We investigate the equilibrium spatiotemporal correlations of energy and momentum of the rotator model, and find that both these fields diffuse normally.
• The normal diffusion is explained within the framework of stochastic hydrodynamics by observing that the angle variables do not constitute a conserved field, which leads to the absence of long-wavelength currents in the system.
• As an outcome of our analysis, we propose some general criteria for normal transport based on the existence of conservation laws.