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Thin current sheets in systems of large size that exceed a critical value ofthe Lundquist number are unstable to a super-Alfvenic tearing instability. Thescaling of the growth rate of the fastest growing instability with respect tothe Lundquist number is shown to follow from the classical dispersion relationfor tearing modes. As a result of this instability, the system realizes anonlinear reconnection rate that appears to be weakly dependent on theLundquist number, and larger than the Sweet-Parker rate by an order ofmagnitude (for the range of Lundquist numbers considered). This regime of fastreconnection appears to be realizable in a dynamic and highly unstable thincurrent sheet, without requiring the current sheet to be turbulent.

Fast Reconnection in High-Lundquist-Number Plasmas Due to Secondary Tearing Instabilities