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arXiv · 2305.12834

Surveying an Energy Landscape

Stefan Schnabel·Wolfhard Janke
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Abstract

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.

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BibTeXRIS

Stefan Schnabel, Wolfhard Janke. 2023-05-22. Surveying an Energy Landscape. https://doi.org/10.3389/fphy.2023.1218107

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