A Novel Multiple-Time Scale Integrator for the Hybrid Monte Carlo Algorithm

Journal Article · Tue May 24 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3587586· OSTI ID:21516882

Kamleh, Waseem ^[1]

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1. Special Research Centre for the Subatomic Structure of Matter and Department of Physics, University of Adelaide 5005 (Australia)

Hybrid Monte Carlo simulations that implement the fermion action using multiple terms are commonly used. By the nature of their formulation they involve multiple integration time scales in the evolution of the system through simulation time. These different scales are usually dealt with by the Sexton-Weingarten nested leapfrog integrator. In this scheme the choice of time scales is somewhat restricted as each time step must be an exact multiple of the next smallest scale in the sequence. A novel generalisation of the nested leapfrog integrator is introduced which allows for far greater flexibility in the choice of time scales, as each scale now must only be an exact multiple of the smallest step size.

• OSTI ID: 21516882
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1354; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CALCULATION METHODS
COMPUTERIZED SIMULATION
EVOLUTION
FERMIONS
FIELD THEORIES
FLEXIBILITY
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
MOLECULAR DYNAMICS METHOD
MONTE CARLO METHOD
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SIMULATION
TENSILE PROPERTIES