Journal Article

FZJ-2021-04069

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The Ising model with Hybrid Monte Carlo

Ostmeyer, J. ; Petschlies, M. ; Pittler, F. ; Berkowitz, E.FZJ* ; Luu, T. (Corresponding author)FZJ*

2021
North Holland Publ. Co. Amsterdam

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Please use a persistent id in citations: http://hdl.handle.net/2128/28872  doi:10.1016/j.cpc.2021.107978

Abstract: The Ising model is a simple statistical model for ferromagnetism. There are analytic solutions for low dimensions and very efficient Monte Carlo methods, such as cluster algorithms, for simulating this model in special cases. However most approaches do not generalize to arbitrary lattices and couplings. We present a formalism that allows one to apply Hybrid Monte Carlo (HMC) simulations to the Ising model, demonstrating how a system with discrete degrees of freedom can be simulated with continuous variables. Because of the flexibility of HMC, our formalism is easily generalizable to arbitrary modifications of the model, creating a route to leverage advanced algorithms such as shift preconditioners and multi-level methods, developed in conjunction with HMC.

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Jülich Supercomputing Center (JSC)
3. Theorie der starken Wechselwirkung (IKP-3)

Research Program(s):

1. 5111 - Domain-Specific Simulation Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Appears in the scientific report 2021

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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