  We show that density fluctuations during phase transitions in pulsar cores
may have non-trivial effects on pulsar timings, and may also possibly account
for glitches and anti-glitches. These density fluctuations invariably lead to
non-zero off-diagonal components of the moment of inertia, leading to transient
wobbling of star. Thus, accurate measurements of pulsar timing and intensity
modulations (from wobbling) may be used to identify the specific pattern of
density fluctuations, hence the particular phase transition, occurring inside
the pulsar core. Changes in quadrupole moment from rapidly evolving density
fluctuations during the transition, with very short time scales, may provide a
new source for gravitational waves.
