The universal relation between exponents in firstpassage percolation
The universal relation between exponents in firstpassage percolation

Sourav Chatterjee, Courant Institute for Mathematics and New York University
IAS Room S101
Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of GreenKubo. This formula results from a formal first order perturbation calculation without rigorous justification. A rigorous derivation of Fourier's law for heat conduction from the laws of mechanics remains thus a major unsolved problem. In this note we present a deterministic mechanical model of a heatconducting chain with nontrivial interactions, where kinetic energy fluctuations at the nodes of the chain are removed. In this model the derivation of Fourier's law can proceed rigorous