  This paper is devoted to constructing some recollements of additive
categories associated to concentric twin cotorsion pairs on an extriangulated
category. As an application, this result generalizes the work by Chen-Liu-Yang
in a triangulated case. Moreover, it highlights new phenomena when it applied
to an exact category. Finally, we give some applications to illustrate our main
results. In particular, we obtain the Krause's recollement whose the proofs are
both elementary and very general.
