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@ARTICLE{Ostmeyer:902160,
      author       = {Ostmeyer, Johann and Petschlies, Marcus and Pittler, Ferenc
                      and Berkowitz, Evan and Luu, Tom},
      title        = {{T}he {I}sing model with {H}ybrid {M}onte {C}arlo},
      journal      = {Computer physics communications},
      volume       = {265},
      issn         = {0010-4655},
      address      = {Amsterdam},
      publisher    = {North Holland Publ. Co.},
      reportid     = {FZJ-2021-04069},
      pages        = {107978},
      year         = {2021},
      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.},
      cin          = {IAS-4 / JSC / IKP-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)JSC-20090406 /
                      I:(DE-Juel1)IKP-3-20111104},
      pnm          = {5111 - Domain-Specific Simulation Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / DFG project
                      196253076 - TRR 110: Symmetrien und Strukturbildung in der
                      Quantenchromodynamik (196253076)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)196253076},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000659129700003},
      doi          = {10.1016/j.cpc.2021.107978},
      url          = {https://juser.fz-juelich.de/record/902160},
}