The range of applied magnetic field H corresponding to the stability o
f mixed state with a fixed magnetic induction B is determined for a hi
gh-T-c superconducting YBa2Cu3Ox single crystal for H perpendicular to
c-axis. For this purpose, the field dependences of the contribution m
u(upsilon) to the dynamic magnetic permeability mu(ac)' ac are analyze
d for the hysteresis loops mu(upsilon) (H) in the temperature range fr
om 70 to 84 K. It is shown that the mu(upsilon) (H) hysteresis can be
interpreted in terms of the interaction between the vortex lattice and
the surface and is associated with the B (H) hysteresis as a manifest
ation of the Bean-Livingston surface barrier. As a result, the mu(upsi
lon) (H) hysteresis loops corresponding to different temperatures can
be described by a universal curve in dimensionless coordinates. The ob
tained estimates and the available experimental data reveal a signific
ant suppression of the surface barrier in actual YBaCuO single crystal
s as compared to the barrier predicted for a perfect surface. The lowe
r branch of the mu(upsilon) (H) hysteresis loop, which corresponds to
increasing H, is found to be close to the equilibrium mu(upsilon) (H)
curve, and the surface barrier appreciably affects the behavior of mu(
upsilon) (H) only for decreasing field, i.e., the emergence of magneti
c vortices from the sample surface. (C) 1998 American Institute of Phy
sics. [S1063-777X(98)00209-6].