  We analyze the transport of heat along a chain of particles interacting
through anharmonic po- tentials consisting of quartic terms in addition to
harmonic quadratic terms and subject to heat reservoirs at its ends. Each
particle is also subject to an impulsive shot noise with exponentially
distributed waiting times whose effect is to change the sign of its velocity,
thus conserving the en- ergy of the chain. We show that the introduction of
this energy conserving stochastic noise leads to Fourier law. The behavior of
thels heat conductivity for small intensities of the shot noise and large
system sizes are found to obey a finite-size scaling relation. We also show
that the heat conductivity is not constant but is an increasing monotonic
function of temperature.
