Statistical Mechanics of Hamiltonian Adaptive Resolution Simulations
  The Adaptive Resolution Scheme (AdResS) is a hybrid scheme that allows one to treat a molecular system with different levels of resolution depending on the location of the molecules. The construction of a Hamiltonian based on the this idea (H-AdResS) allows one to formulate the usual tools of ensembles and statistical mechanics. We present a number of exact and approximate results that provide a statistical mechanics foundation for this simulation method. We also present simulation results that illustrate the theory. 
Pep Espa\~nol, Rafael Delgado-Buscalioni, Ralf Everaers, Raffaelo   Potestio, Davide Donadio, Kurt Kremer
cond-mat.stat-mech