  In this work we introduce and investigate the properties of the
"relativistic" Hopfield model endowed with temporally correlated patterns.
First, we review the "relativistic" Hopfield model and we briefly describe the
experimental evidence underlying correlation among patterns. Then, we face the
study of the resulting model exploiting statistical-mechanics tools in a
low-load regime. More precisely, we prove the existence of the thermodynamic
limit of the related free-energy and we derive the self-consistence equations
for its order parameters. These equations are solved numerically to get a phase
diagram describing the performance of the system as an associative memory as a
function of its intrinsic parameters (i.e., the degree of noise and of
correlation among patterns). We find that, beyond the standard retrieval and
ergodic phases, the relativistic system exhibits correlated and symmetric
regions -- that are genuine effects of temporal correlation -- whose width is,
respectively, reduced and increased with respect to the classical case.
