The series of events required for an organism to receive a slow pain stimulus, convert it to a molecular signal, and recognize and characterize the signal. This is a neurological process. Slow pain is often subjectively described as an aching or throbbing pain; in humans, the signals from a slow pain stimulus are perceived and relayed along unmyelinated C fibers to the central nervous system, reaching their target in about 1 second. Slow pain is often associated with tissue destruction.