Work-, heat- and material-exchange between a discrete system and its e
nvironment are derived by field-theoretical methods and can be represe
nted by Pfaffians. The work-exchange includes the volume work as well
as the deformation work. The state space of these discrete systems in
nonequilibrium contains the heat exchange in addition to the time rate
s of the equilibrium variables, thus inducing the notation ''extended'
' thermodynamics. The dissipation inequality is not exploited by const
itutive ansatzes as usual in irreversible thermodynamics, but by Liu's
procedure which considers all materials compatible with the chosen no
nequilibrium state space. The nonequilibrium entropy does not depend o
n time rates and on the heat-exchange, although these variables are in
cluded into the state space. Entropy production as well as entropy-exc
hange are state functions. A classification of the different kinds of
variables spanning the state space of a discrete system is achieved.