The size-temperature "phase diagram" for small Lennard-Jones clusters LJn (n< or =147) is constructed based on the analysis of the heat capacities Cv(T) , computed by the parallel tempering Monte Carlo method. Two types of "phase transitions" are often observed: the higher-temperature solid-liquid transition, due to melting of the cluster core, and the lower-temperature melting that occurs with...

We introduce the Farrell-Jones Conjecture with coefficients in an additive category with G-action. This is a variant of the Farrell-Jones Conjecture about the algebraic Kor L-Theory of a group ring RG. It allows to treat twisted group rings and crossed product rings. The conjecture with coefficients is stronger than the original conjecture but it has better inheritance properties. Since known p...