001     872984
005     20210130004339.0
024 7 _ |a arXiv:1912.03278
|2 arXiv
024 7 _ |a 2128/24176
|2 Handle
024 7 _ |a altmetric:72431900
|2 altmetric
037 _ _ |a FZJ-2020-00441
100 1 _ |a Ostm, Johann
|0 P:(DE-HGF)0
|b 0
|e Corresponding author
245 _ _ |a The Ising Model with Hybrid Monte Carlo
260 _ _ |c 2019
336 7 _ |a Preprint
|b preprint
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|s 1580810498_4614
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336 7 _ |a WORKING_PAPER
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336 7 _ |a Electronic Article
|0 28
|2 EndNote
336 7 _ |a preprint
|2 DRIVER
336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a Output Types/Working Paper
|2 DataCite
520 _ _ |a 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 generalise 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.
536 _ _ |a 574 - Theory, modelling and simulation (POF3-574)
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588 _ _ |a Dataset connected to arXivarXiv
700 1 _ |a Berkowitz, Evan
|0 P:(DE-Juel1)179213
|b 1
700 1 _ |a Petschlies, Marcus
|0 P:(DE-HGF)0
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700 1 _ |a Luu, Tom
|0 P:(DE-Juel1)159481
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700 1 _ |a Pittler, Ferenc
|0 P:(DE-HGF)0
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856 4 _ |y OpenAccess
|u https://juser.fz-juelich.de/record/872984/files/1912.03278.pdf
856 4 _ |y OpenAccess
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909 C O |o oai:juser.fz-juelich.de:872984
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910 1 _ |a Forschungszentrum Jülich
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913 1 _ |a DE-HGF
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914 1 _ |y 2019
915 _ _ |a OpenAccess
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920 1 _ |0 I:(DE-Juel1)IAS-4-20090406
|k IAS-4
|l Theorie der Starken Wechselwirkung
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980 _ _ |a preprint
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980 _ _ |a UNRESTRICTED
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