< span>

The rates at which energy and particle de nsities move to equalize arbitrarily large tempera ture and chemical potential differences in a close d quantum system have an emergent thermodynamical description whenever energy or particle current co mmutes with the Hamiltonian. Concrete examples in clude the energy current in the 1D spinless fermio n model with nearest-neighbor interactions (XXZ sp in chain)\, energy current in Lorentz-invariant th eories or particle current in interacting Bose gas in arbitrary dimension. Even far from equilibri um\, these rates are controlled by state functions (generalized pressures or "expansion potentials") \, expressed as integrals of equilibrium Drude wei ghts. This relation between nonequilibrium quanti ties and linear response implies non-equilibrium M axwell relations for the Drude weights which expla in some old XXZ model identities. We verify our r esults via DMRG calculations for the XXZ chain\, w hich suggest some interesting additional fe atures beyond the analytical results. LOCATION:Seminar Room 1\, Newton Institute CONTACT:INI IT END:VEVENT END:VCALENDAR