  The spontaneous emergence of dynamical order, such as persistent currents, is
sometimes argued to require principles beyond the entropy maximization of the
second law of thermodynamics. I show that, for linear dissipation in the
Onsager regime, current formation can be driven by exactly the Jaynesian
principle of entropy maximization, suitably formulated for extended systems and
nonequilibrium boundary conditions. The Legendre dual structure of equilibrium
thermodynamics is also preserved, though it requires the admission of
current-valued state variables, and their correct incorporation in the entropy.
