The properties of a molecularly thin film of spherically symmetric molecule
s confined to a chemically heterogeneous slit-pore were investigated by Mon
te Carlo simulations in a grand mixed stress-strain ensemble. The slit-pore
comprises two identical plane-parallel solid substrates, each of which con
sists of alternating strips of solid of two types: strongly adsorbing (widt
h d(s)) and weakly adsorbing. Under favourable thermodynamic conditions the
confined film consists of fluid bridges-that is, a high(er)-density fluid
over the strongly attractive strip surrounded by a low(er)-density fluid su
pported by the (outer) weakly attractive strips. By misaligning the opposit
e substrates, bridge phases can be exposed to a shear strain alpha s(x) (0
less than or equal to alpha less than or equal to 1/2, s(x) the side length
of the simulation cell) and the associated shear stress T-zx of(fluidic) b
ridge phases can be calculated from molecular expressions. The stress curve
T-zx(alpha s(x)) is qualitatively similar to the one characteristic of sol
idlike films confined between atomically structured substrates in that the
initial response to small shear strains is Hookean, and this is followed by
an increasingly nonlinear regime up to the yield point where T-zx (alpha s
(x)) assumes its maximum. We also investigated the influence of chemical co
rrugation c(r) := d(s)/s(x) on T-zx(alpha s(x)). With increasing c(r), yiel
d strain and stress increase at first up to a maximum and decline thereafte
r. By employing the theory of corresponding states, T-zx (alpha s(x)) is re
normalized by yield stress and strain such that the results can be represen
ted uniquely by a master curve independent of any system-dependent paramete
rs.