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@ARTICLE{Ostm:872984,
      author       = {Ostm, Johann and Berkowitz, Evan and Petschlies, Marcus and
                      Luu, Tom and Pittler, Ferenc},
      title        = {{T}he {I}sing {M}odel with {H}ybrid {M}onte {C}arlo},
      reportid     = {FZJ-2020-00441},
      year         = {2019},
      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 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.},
      cin          = {IAS-4},
      cid          = {I:(DE-Juel1)IAS-4-20090406},
      pnm          = {574 - Theory, modelling and simulation (POF3-574)},
      pid          = {G:(DE-HGF)POF3-574},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {1912.03278},
      howpublished = {arXiv:1912.03278},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1912.03278;\%\%$},
      url          = {https://juser.fz-juelich.de/record/872984},
}