A model of a particle interacting with two periodic potentials, one of
which is externally driven, is analyzed. Three regimes are-identified
in the motion of the driven plate: (a) stick-slip motion, (b) intermi
ttent stick slip characterized by force fluctuations, and (c) sliding
which occurs above a critical driving velocity upsilon(c). In the vici
nity of upsilon(c) the power spectra of the force obey a omega(-2) law
and the force fluctuations decrease as (upsilon(c) - upsilon)(1/2) fo
r upsilon < upsilon(c). Our calculations suggest that stick-slip dynam
ics is characterized by chaotic behavior of the top plate and the embe
dded molecular system. An equation is derived-which provides a coarse-
grained description of the plate motion near upsilon(c).