The Gregory-Laflamme instability for the D2-DO bound state

The D2-DO bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no DO-branes, the requisite non-extremality is finite. When most of the extremal mass comes from DO-branes, the requisite non-extremality is very small. The location of the threshold for the instability is determined using a local thermodynamic analysis which is then checked against a numerical analysis of the linearized equations of motion. The thermodynamic analysis reveals an instability of non-commutative field theory at finite temperature, which may occur only at very long wavelengths as the decoupling limit is approached.