ADAPTIVE SIMULATION, LINEAR-RESPONSE AND NONERGODIC TRANSITION

Adaptive Monte Carlo methods such as multi-canonical sampling and simu lated annealing are considered based on the linear response theory, yi elding useful information on, e.g., an update formula, energy diffusio n constant and a cooling rate. Application of these Monte Carlo method s to the coupled Duffing oscillators reveals not only the liquid-solid transition but also the existence of a metastable nonergodic phase in the strong coupling limit.