  We propose relative entropy-based quantifiers for genuine multipartite total,
quantum, and classical correlations. These correlation measures are applied to
investigate the generation of genuine multiparticle correlations in decoherent
dynamics induced by the interaction of two qubits with local- independent
environments. We consider amplitude- and phase-damping channels and compare
their capabilities to spread information through the creation of many-body
correlations. We identify changes in behavior for the genuine four- and
three-partite total correlations and show that, contrary to amplitude
environments, phase-noise channels transform the bipartite correlation
initially shared between the qubits into genuine multiparticle
system-environment correlations.
