  We consider a very complicated system of some latticized differential
equations that is considered as equations of motion for a field theory. We
define macro state restrictions for such a system analogous to thermodynamical
states of a system in statistical mechanics. For the case in which we have
assumed adiabaticity in a generalized way which is equivalent to reversible
processes. It is shown that we can define various entropy currents, not only
one. It is indeed surprising that, for a two dimensional example of lattice
field theory, we get three different entropy currents, all conserved under the
adiabaticity condition.
