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### Condensed Matter Seminars

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In quasi one dimensional systems, the flow of energy has many unusual features. In the first part of this talk, I will show that the heat conductivity diverges in the thermodynamic limit in a large class of such systems. The form of the divergence is shown analytically to be universal. In the second part, I will discuss how disorder makes the flow of energy very slow and creates problems with equilibration. In the third part, I will present numerical results for the non-equilibrium flow of energy in disordered one dimensional systems, leading to an exact identity for wave propagation in nonlinear media.