  Quantum correlations typically decrease with increasing noise, although
classical correlators (CCors) may rise for a particular class of states with
noise. To analyse the behavior of classical correlation (CC) in the presence of
local noise, we scrutinize the set of classical correlators, axiomatic CC
measures like classical discord, and local work for Haar uniformly generated
states. Like quantum correlation measures, we illustrate that when noise levels
rise, the average value of the CC measures for noisy output states obtained
from random input states decreases for most of the channels. We also
demonstrate a connection between the CCors of the noise-affected multipartite
states that are produced and the CCors of the initial states that exhibit
exponential, polynomial, and constant behavior as the noise level changes.
Moreover, based on CCors of the generalised N-qubit W state as input, we
determine a method to discriminate between the quantum channels, namely phase
damping, depolarizing, and amplitude damping channels. We also relate
classical, quantum, and total correlation measures that exhibit a comparable
reaction to decoherence for generic states.
