TY  - JOUR
AU  - Ostmeyer, Johann
AU  - Petschlies, Marcus
AU  - Pittler, Ferenc
AU  - Berkowitz, Evan
AU  - Luu, Tom
TI  - The Ising model with Hybrid Monte Carlo
JO  - Computer physics communications
VL  - 265
SN  - 0010-4655
CY  - Amsterdam
PB  - North Holland Publ. Co.
M1  - FZJ-2021-04069
SP  - 107978
PY  - 2021
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000659129700003
DO  - DOI:10.1016/j.cpc.2021.107978
UR  - https://juser.fz-juelich.de/record/902160
ER  -