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Although one-dimensional systems that exhibit translational symmetry aregenerally believed to exhibit anomalous heat transport, previous work has shownthat the model of coupled rotators on a one-dimensional lattice constitute apossible exception. We investigate the equilibrium spatiotemporal correlationsof energy and momentum of the rotator model, and find that both these fieldsdiffuse normally. The normal diffusion is explained within the framework ofstochastic hydrodynamics by observing that the angle variables do notconstitute a conserved field, which leads to the absence of long-wavelengthcurrents in the system. As an outcome of our analysis, we propose some generalcriteria for normal transport based on the existence of conservation laws.

Role of conserved quantities in normal heat transport in one dimenison