An efficient algorithm for numerical computations of continuous densities of states

Understand

In Wang-Landau type algorithms, Monte-Carlo updates are performed with respect to the density of states, which is iteratively refined during simulations.

• The partition function and thermodynamic observables are then obtained by standard integration.
• In this work, our recently introduced method in this class (the LLR approach) is analysed and further developed.
• Our approach is a histogram free method particularly suited for systems with continuous degrees of freedom giving rise to a continuum density of states, as it is commonly found in Lattice Gauge Theories and in some Statistical Mechanics systems.