  This work investigates multi-resolution methodologies for simulating dimer
models. The solvent particles which make up the heat bath interact with the
monomers of the dimer either through direct collisions (short-range) or through
harmonic springs (long-range). Two types of multi-resolution methodologies are
considered in detail: (a) describing parts of the solvent far away from the
dimer by a coarser approach; (b) describing each monomer of the dimer by using
a model with different level of resolution. These methodologies are then
utilised to investigate the effect of a shared heat bath versus two uncoupled
heat baths, one for each monomer. Furthermore the validity of the
multi-resolution methods is discussed by comparison to dynamics of macroscopic
Langevin equations.
