Thermodynamics of steady states: Is the entropyhyphen;production surface convex in the thermodynamic space of steady currentsquest;

摘要

If the rate of entropy production THgr; is a convex function of the steady currentsYiin a steadyhyphen;state situation, then the quantitiespart;2THgr;/part;Ykthinsp;part;Yiandpart;OHgr;i/part;Ykthinsp;(OHgr;iis the affinity conjugate to the steady currentYi)must meet certain requirements, and THgr; itself must be an lsquo;lsquo;inflationaryrsquo;rsquo; function of the steady currentsYi,i.e.,THgr;(lgr;Yi)gsim;THgr;(Yi)forlgr;gsim;1andlcub;Yircub;ne;lcub;0rcub;.A heathyphen;conduction counterexample that does not satisfy the convexity conditions is displayed.