The complex coacervation of oppositely charged polyelectrolytes
is an important issue, which is relevant to many biological and industrial
applications. While various biomolecules have been observed to form
hierarchical multiphase structures in cells, its mechanism is still
not fully understood. Here, we theoretically study the complex coacervation
between the polyanion C and polycations A and B in solution and focus
on the influence of charge sequence along the polyions on the multiphase
coacervation. The electrostatic free energy is calculated with random
phase approximation, and the phase diagrams are constructed by using
the convex hull algorithm. It is revealed that the large asymmetry
of charge patterns between A and B chains may induce the multiphase
separation, driving the formation of two condensed phases, AC coacervate
and BC coacervate, coexisting with a dilute phase. On the basis of
our result, we propose a good criterion to determine if multiphase
separation occurs or not. Furthermore, we analyze the effect of charge
sequence of polyanion C as well as the addition of salt on the multiphase
coacervation. This work provides insights into the underlying physics
of sequence-dependent electrostatic interactions and the design of
complex coacervates of polyelectrolyte mixtures.