Upper bound for the entropy production and dissipative particle dynamics

The upper bound for the entropy production of a dense gas is presented and its connection with the so-called Fisher information measure is revised. Th e relation with dissipative particle dynamics is analyzed, which serve to i dentify the thermostat for the fluid system. The analogy with a turbulence approach, a probabilistic approach to dynamical sytems, detailed balance fo r dissipative particle dynamics and fluctuation dissipation theorems for re laxing systems is presented.