Equivalence of irreversible entropy production in driven systems: An elementary chaotic map approach

A multibaker map is generalized in order to mimic the thermostating algorithm of transport models. Elementary calculations yield the irreversible entropy production caused by coarse graining of the phase-space density. For different systems, either in steady states (periodic or flux boundaries) or subjected to absorbing boundaries, the specific irreversible entropy production is shown to be u(2)/D, where u denotes the local streaming velocity (current per density) and D is the diffusion coefficient.