A concept of self-organisation is used to derive the structure of dust shea
th close to the wall taking into account self-consistently dust charges and
dust distribution together with electron, ion distributions and ion drift.
It is shown that instead of Bohm criterion the dust sheath is determined b
y other criteria allowing Mach number to be in restricted value ranges. The
total structure of the dust sheath in dimensionless variables is determine
d by the Mach number only. Dust sheaths can contain definite number of dust
particles per unit area which are determined by the value of the Mach numb
er. The dust sheaths change drastically the electrostatic potential distrib
utions and are usually much thicker than the usual plasma sheaths. A theore
tical model together with numerical computations gives all dust sheath para
meter distributions and the global characteristics such as the total drop o
f the potential, the thickness of the sheath, the number of dust particles
in the sheath and the criterion of dust levitation. The recent observations
on "Textor 94" indicating the long time dust survival in edge region of th
e present tokamaks, the dust levitation and agglomeration in the volume of
edge tokamak plasma are discussed.