You did not model the capacitors properly. A capacitor has ideal capacitance, but it also has ESR, ESL and higher order parameters (which may or may not be relevant).
Or worse still, LTSpice gave you default values for some of these parameters and the whole thing is nonsense!
Needless to say, SPICE, in and of itself, only deals in ideal capacitance and resistance and inductance. It is your responsibility to build a model that is representative of reality. Good models are not simply given to you on a silver platter; hell, manufacturer's libraries are rarely even useful as it is...
Tim