We study the response of an adsorbed monolayer under a driving force as a m
odel of sliding friction phenomena between two crystalline surfaces with a
boundary lubrication layer Using Langevin-dynamics simulation, we determine
the nonlinear response in the direction transverse to a high symmetry dire
ction along which the layer is already sliding. We find that below a finite
transition temperature there exist a critical depinning force and hysteres
is effects in the transverse response in the dynamical state when the adlay
er is sliding smoothly along the longitudinal direction.