Eliminating critical slowing down in Monte Carlo calculations

We examine methods to improve the major numerical difficulties in lattice field theory. Traditional Metropolis and heat bath Monte Carlo methods in lattice calculations break down whenever one tries to calculate thermodynamic quantities near critical points; this phenomenon is called Critical Slowing Down, (CSD). Recently, alternate methods have been proposed to shorten the relaxation time and thereby, reduce CSD. These methods all modify site-by-site Metropolis and heat bath Monte Carlo to operate on larger spacial scales. One of these newer techniques is to apply multigrid methods to site-by-site Monte Carlo algorithms; another is to stochastically determine clusters of sites on the lattice by simplifying the Hamiltonian until it is determinate.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Luehrmann, Mia Kerstin

Contributors dc:contributor

• Stack, John D.

• Physics
• Elementary Particles
• High Energy

Statement dc:rights

• Copyright 1991 Luehrmann, Mia Kerstin

Language dc:language

eng

Identifier

AAI9124454
(UMI)AAI9124454

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19039