Fj. Alexander et Gl. Eyink, SHAPE-DEPENDENT THERMODYNAMICS AND NONLOCAL HYDRODYNAMICS IN A NON-GIBBSIAN STEADY-STATE OF A DRIFT-DIFFUSION SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 6229-6232
Shape-dependent thermodynamics and nonlocal hydrodynamics are argued t
o occur in dissipative steady states of driven diffusive systems. Thes
e predictions are confirmed by numerical simulations. Unlike power-law
correlations, these phenomena cannot be explained by a hypothesis of
''criticality.'' Instead, they require the effective Hamiltonian of th
e system to contain very long-range potentials, making the invariant p
robability measures formally ''non-Gibbsian.''