Exact free energy functional for a driven diffusive open stationary nonequilibrium system.

@article{Derrida2002ExactFE,
  title={Exact free energy functional for a driven diffusive open stationary nonequilibrium system.},
  author={Bernard Derrida and Joel L Lebowitz and E. R. Speer},
  journal={Physical review letters},
  year={2002},
  volume={89 3},
  pages={030601}
}
We obtain the exact probability exp[-LF([rho(x)])] of finding a macroscopic density profile rho(x) in the stationary nonequilibrium state of an open driven diffusive system, when the size of the system L-->infinity. F, which plays the role of a nonequilibrium free energy, has a very different structure from that found in the purely diffusive case. As there, F is nonlocal, but the shocks and dynamic phase transitions of the driven system are reflected in nonconvexity of F, in discontinuities in… CONTINUE READING