Effect of polarization force on the Jeans instability of self-gravitating dusty plasma

► Jeans instability of gravitating dusty plasma with polarization force is investigated. ► The fundamental Jeans instability criterion is modified due to polarization effect. ► The critical Jeans length decreases due to increase in polarization force. ► Polarization force destabilizes the unstable Jeans mode. ► The collapsing of interstellar dusty cloud is discussed.