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DY: Fachverband Dynamik und Statistische Physik

DY 15: Focus Session: Large Deviations and Rare Events II

DY 15.1: Hauptvortrag

Montag, 9. März 2026, 15:00–15:30, ZEU/0114

Monte Carlo Simulation Methods for Rare-Event Sampling — •Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany

Large fluctuations and rare events play an important role in many physical systems, with nucleation phenomena, first-order phase transitions and frustrated (disordered) systems being only the most prominent examples. To cope with such processes in Monte Carlo computer simulations, several generalized-ensemble approaches such as parallel and simulated tempering and “flat-histogram” methods have been devised and further improved over the years. After a brief overview of the basic ideas of multicanonical (MuCa), Wang-Landau (WL), and Stochastic Appxoximation Monte Carlo (SAMC) schemes, the talk will focus on more recently proposed “non-flat” variants that put even more emphasis on strongly suppressed rare events, and alternative formulations based on the (real) microcanonical ensemble. As illustrations, performance tests and results will be shown for spin glasses, first-order phase transitions in the q-state Potts and Blume-Capel model, Lennard-Jones particle and polymer clusters, and the density of states of O(n) spin models on triangular and hypercubic lattices spanning many hundreds orders of magnitude.

Keywords: Rare-Event Sampling; Monte Carlo Simulation; Generalized Ensembles; Non-Flat Histogram Method; Microcanonical Formalism