Each acoustic space has its own variety of reflectors causing the reverberant sound arriving at the listener to be different from each direction.
Interaural coherence is a measurement that indicates similarity between the reverberation received by each of the two ears.
A low interaural coherence generally results in a more pleasing sound and a greater feeling of ``immersion''.
Low interaural coherence can be implemented by giving each channel its own reverberator with slightly different parameters.