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An Isaac Newton Institute Workshop

Non-Equilibrium Dynamics of Interacting Particle Systems

Fourier Law in low-dimensional systems

6th April 2006

Author: Livi, R (Universita' di Firenze)


The study of transport properties in low-dimensional models has attracted much attention in the scientific community. In fact, it has pointed out new basic for the theory of non-equilibrium stationary processes, while providing interesting perspectives of applications to new materials. These lectures will be mainly devoted to survey the achievements on the problem of heat transport in 1D and 2D systems. A pedagogically suitable approach will be proposed to the students, going through a historical pathway. Numerical results will be presented together with the main rigorous approaches and analytical results. These lectures aim at providing also an overview of the state of the art on this research topic, with reference to still open, challenging problems. Department of Physics, LE Fermi 2, 50125 Firenze