Surveying an energy landscape

Autor: Stefan Schnabel, Wolfhard Janke
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Frontiers in Physics, Vol 11 (2023)
Druh dokumentu: article
ISSN: 2296-424X
DOI: 10.3389/fphy.2023.1218107
Popis: 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(n) vector spin model on hypercubic lattices in D = 1 to 5 dimensions, and the O(3) Heisenberg model on a triangular lattice featuring frustration effects.
Databáze: Directory of Open Access Journals