Resumo
We revisit the 1967 model of heat conduction in a crystal introduced by Z. Rieder, J. L. Liebowitz
and E. Lieb. Besides its anomalous heat conduction properties, the model is also characterised by
awkward cuspids at the ends of the non-equilibrium chain, an effect that has endured the various
generalisations of the model. We show that, for a proper combination of the border and bulk pinning
values, it is possible to shift from the cuspidal behaviour of the temperature prole to an expected
monotonous local temperature evolution along the system. We nd a transition regime characterised
by a perfect temperature plateau spanning the entire chain (excepting the elements in contact with
the reservoirs) separating cuspidal and monotonous behaviour. For each value of the pinning at the
border, there are two values of the bulk pinning for which the temperature prole is a straight line.
We also relate that change in the temperature prole with both heat transmission and re
ection in the chain. Among others, we learn that the rst transition | corresponding to the smaller of the
two critical edge pinning | takes place when the temperature of the particle connected with the
colder reservoir reaches its maximal value as well as the heat ux.