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The misalignment of the solar rotation axis and the magnetic axis of the Sunproduces a periodic reversal of the Parker spiral magnetic field and thesectored solar wind. The compression of the sectors is expected to lead toreconnection in the heliosheath (HS). We present particle-in-cell simulationsof the sectored HS that reflect the plasma environment along the Voyager 1 and2 trajectories, specifically including unequal positive and negative azimuthalmagnetic flux as seen in the Voyager data \citep{Burlaga03}. Reconnectionproceeds on individual current sheets until islands on adjacent current layersmerge. At late time bands of the dominant flux survive, separated by bands ofdeep magnetic field depletion. The ambient plasma pressure supports the strongmagnetic pressure variation so that pressure is anti-correlated with magneticfield strength. There is little variation in the magnetic field directionacross the boundaries of the magnetic depressions. At irregular intervalswithin the magnetic depressions are long-lived pairs of magnetic islands wherethe magnetic field direction reverses so that spacecraft data would revealsharp magnetic field depressions with only occasional crossings with jumps inmagnetic field direction. This is typical of the magnetic field data from theVoyager spacecraft \citep{Burlaga11,Burlaga16}. Voyager 2 data reveals thatfluctuations in the density and magnetic field strength are anti-correlated inthe sector zone as expected from reconnection but not in unipolar regions. Theconsequence of the annihilation of subdominant flux is a sharp reduction in the"number of sectors" and a loss in magnetic flux as documented from the Voyager1 magnetic field and flow data \citep{Richardson13}.

The formation of magnetic depletions and flux annihilation due to reconnection in the heliosheath