THERMODYNAMICS OF DRIVEN SYSTEMS

A geometrical formulation of thermodynamics is carried in this paper t o a domain that includes dynamics and driven systems. Let it be known from experience that the behavior of an externally unforced or a drive n system is well described in a state space N. The thermodynamics of t he system is a geometrical structure in N that arises from an analysis of the time evolution in a more microscopic (i.e., depicting more det ails) state space M. If in particular the system is externally unforce d then the state space N can be chosen to be the state space N(ET) of equilibrium thermodynamics. The geometrical structure in N(ET), obtain ed by analyzing the time evolution in a more microscopic state space M , appears to be the geometrical formulation of classical equilibrium t hermodynamics. The general formulation of thermodynamics introduced in this paper is illustrated by the example of a k-component system unde rgoing a chemical reaction.