28 citations · 93 across the 8 of their papers we have counts for
10 papers
Optimal sampling strategies in event-chain Monte Carlo
James Gulliford, Gareth O. Roberts, Michael F. Faulkner
Event-chain Monte Carlo (ECMC) has revolutionised computational sampling over recent years, providing a powerful alternative to the molecular-dynamics (MD) and Hamiltonian Monte Ca…
Symmetry breaking at a topological phase transition
Michael F. Faulkner
Spontaneous symmetry breaking is a foundational concept in physics. In condensed matter, it characterizes conventional continuous phase transitions but is absent at topological pha…
Sampling algorithms in statistical physics: a guide for statistics and machine learning
Michael F. Faulkner, Samuel Livingstone
We discuss several algorithms for sampling from unnormalized probability distributions in statistical physics, but using the language of statistics and machine learning. We provide…
JeLLyFysh-Version1.0 -- a Python application for all-atom event-chain Monte Carlo
Philipp Hoellmer, Liang Qin, Michael F. Faulkner +2
We present JeLLyFysh-Version1.0, an open-source Python application for event-chain Monte Carlo (ECMC), an event-driven irreversible Markov-chain Monte Carlo algorithm for classical…
All-atom computations with irreversible Markov chains
Michael F. Faulkner, Liang Qin, A. C. Maggs +1
The event-chain Monte Carlo (ECMC) method is an irreversible Markov process based on the factorized Metropolis filter and the concept of lifted Markov chains. Here, ECMC is applied…
Kinetic energy choice in Hamiltonian/hybrid Monte Carlo
Samuel Livingstone, Michael F. Faulkner, Gareth O. Roberts
We consider how different choices of kinetic energy in Hamiltonian Monte Carlo affect algorithm performance. To this end, we introduce two quantities which can be easily evaluated,…
An electric-field representation of the harmonic XY model
Michael F. Faulkner, Steven T. Bramwell, Peter C. W. Holdsworth
The two-dimensional harmonic XY (HXY) model is a spin model in which the classical spins interact via a piecewise parabolic potential. We argue that the HXY model should be regarde…
From quantum to thermal topological-sector fluctuations of strongly interacting bosons in a ring lattice
Tommaso Roscilde, Michael F. Faulkner, Steven T. Bramwell +1
Inspired by recent experiments on Bose-Einstein condensates in ring traps, we investigate the topological properties of the phase of a one-dimensional Bose field in the presence of…
Phase order in superfluid helium films
Steven T. Bramwell, Michael F. Faulkner, Peter C. W. Holdsworth +1
Classic experimental data on helium films are transformed to estimate a finite-size phase order parameter that measures the thermal degradation of the condensate fraction in the tw…
Topological-sector fluctuations and ergodicity breaking at the Berezinskii-Kosterlitz-Thouless transition
Michael F. Faulkner, Steven T. Bramwell, Peter C. W. Holdsworth
The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the unbinding of topological defects in many two-dimensional systems. In the two-dimensional Coulomb gas, it corre…