This title appears in the Scientific Report :
2021
Please use the identifier:
http://hdl.handle.net/2128/28872 in citations.
Please use the identifier: http://dx.doi.org/10.1016/j.cpc.2021.107978 in citations.
The Ising model with Hybrid Monte Carlo
The Ising model with Hybrid Monte Carlo
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 coupli...
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Personal Name(s): | Ostmeyer, Johann |
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Petschlies, Marcus / Pittler, Ferenc / Berkowitz, Evan / Luu, Tom (Corresponding author) | |
Contributing Institute: |
Theorie der starken Wechselwirkung; IKP-3 Jülich Supercomputing Center; JSC Theorie der Starken Wechselwirkung; IAS-4 |
Published in: | Computer physics communications, 265 (2021) S. 107978 |
Imprint: |
Amsterdam
North Holland Publ. Co.
2021
|
DOI: |
10.1016/j.cpc.2021.107978 |
Document Type: |
Journal Article |
Research Program: |
TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups |
Link: |
Get full text OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1016/j.cpc.2021.107978 in citations.
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. |