AUTHOR=Schnabel Stefan , Janke Wolfhard 

TITLE=Surveying an energy landscape

JOURNAL=Frontiers in Physics

VOLUME=11

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1218107

DOI=10.3389/fphy.2023.1218107

ISSN=2296-424X

ABSTRACT=<p>We derive a formula that expresses the density of states of a system with continuous degrees of freedom as a function of microcanonical averages of squared gradient and Laplacian of the Hamiltonian. This result is then used to propose a novel flat-histogram Monte Carlo algorithm, which is tested on a three-dimensional system of interacting Lennard-Jones particles, the O(<italic>n</italic>) vector spin model on hypercubic lattices in <italic>D</italic> = 1 to 5 dimensions, and the O(3) Heisenberg model on a triangular lattice featuring frustration effects.</p>