2007-04-25
10:15 at HCI J 574

Weakly nonlocal nonequilibrium thermodynamics - fluids and beyond

Peter Van

Department of Chemical Physics, Budapest University of Technology and Economics, Budapest, Hungary

I show a general and rigorous methodology to exploit the Second Law in case weakly nonlocal constitutive state spaces (gradient dependent constitutive functions). Two examples are shown. First the Ginzburg-Landau equation is derived from the Second Law, without variational principles. The same method applied to one component fluids result in a general class of constitutive functions leading to the Schrödinger-Madelung equation of quantum mechanics. Finally, two component phase separated fluids and weakly nonlocal statistical entropies are mentioned.