Heat transport in low-dimensional systems
Roberto Livi


Abstract
The dependence of statistical fluctuations on the space dimension plays a crucial role in various problems like phase transitions and localization. Also transport properties have been recently found to exhibit such a dependence. In particular, the study of heat transport in anharmonic lattices and in systems of hard sphere revealed the peculiar features of the transport coefficient, namely heat conductivity, in 1d and in 2d: in the former case this quantity typically diverges as a power of the system size in the thermodynamic limit, while in the latter case the divergences reduces to a logarithmic one. Numerics and analytic approaches allow to obtain a consistent view of the problem. Beyond pure academic interest, a divergent heat conductivity seems to characterize several low--dimensional systems of physical interest, e.g. polymers, biomolecules, carbon nanotubes, thin films.

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Elenco dei partecipanti al convegno di Bari.

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