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We present the evolution of rotational directions of circumstellar disks in atriple protostar system simulated from a turbulent molecular cloud core with nomagnetic field. We find a new formation pathway of a counter-rotatingcircumstellar disk in such triple systems. The tertiary protostar forms via thecircumbinary disk fragmentation and the initial rotational directions of allthe three circumstellar disks are almost parallel to that of the orbital motionof the binary system. Their mutual gravito-hydrodynamical interaction for thesubsequent $\sim10^4\thinspace\rm{yr}$ greatly disturbs the orbit of thetertiary, and the rotational directions of the tertiary disk and star arereversed due to the spiral-arm accretion of the circumbinary disk. Thecounter-rotation of the tertiary circumstellar disk continues to the end of thesimulation ($\sim6.4\times10^4\thinspace\rm{yr}$ after its formation), implyingthat the counter-rotating disk is long-lived. This new formation pathway duringthe disk evolution in Class 0/I Young Stellar Objects possibly explains thecounter-rotating disks recently discovered by ALMA.

A new formation scenario of a counter-rotating circumstellar disk: spiral-arm accretion from a circumbinary disk in a triple protostar system