Stochastic non-equilibrium systems and quantum spin models

Typical characteristics of stochastic non-equilibrium systems are described. It is indicated how such properties can be captured by simple lattice-based interacting-particle models. The relationship of these models to quantum spin systems is discussed. This relationship allows the use of standard spin-model techniques, including mappings fermion models. Finally it is outlined how new techniques (including operator algebras) explain novel features of stochastic systems and provide potentially powerful statements for quantum spin models.