# A multisite microcanonical updating method

## TL;DR

This paper introduces a new multisite microcanonical update method for the XY model, demonstrating its efficiency and compatibility with existing algorithms, and highlighting limitations of sequential local overrelaxation.

## Contribution

The paper presents a novel multisite microcanonical update algorithm that improves simulation efficiency and compatibility over traditional methods.

## Key findings

- Sequential local overrelaxation is not ergodic at typical Monte Carlo times.
- The new multisite microcanonical method produces results consistent with established algorithms.
- The method outperforms slower algorithms like the microcanonical demon algorithm.

## Abstract

We have made a study of several update algorithms using the XY model. We find that sequential local overrelaxation is not ergodic at the scale of typical Monte Carlo simulation time. We have introduced a new multisite microcanonical update method, which yields results compatible with those of random overrelaxation and the microcanonical demon algorithm, which are very much slower, all being incompatible with the sequential overrelaxation results.