Phase structure of non-commutative field theories and spinning brane boundstates

General spinning brane bound states are constructed, along with their near- horizon limits which are relevant as dual descriptions of non-commutative f ield theories. For the spinning D-brane world volume theories with a B-fiel d a general analysis of the gauge coupling phase structure is given, exhibi ting various novel features, already at the level of zero angular momenta. We show that the thermodynamics is equivalent to the commutative case at la rge N and we discuss the possibility and consequences of finite N. As an ap plication of the general analysis, the range of validity of the thermodynam ics for the NCSYM is discussed. In view of the recently conjectured existen ce of a 7-dimensional NCSYM, the thermodynamics of the spinning D6-brane th eory, for which a stable region can be found, is presented in detail. Corre sponding results for the spinning M5-M2 brane bound state, including the ne ar-horizon limit and thermodynamics, are given as well.