Abstract
We report on the design, verification and performance of MuMax3, an open-source GPU-accelerated micromagnetic simulation program. This software solves the time- and space dependent magnetization evolution in nano- to micro scale magnets using a finite-difference discretization. Its high performance and low memory requirements allow for large-scale simulations to be performed in limited time and on inexpensive hardware. We verified each part of the software by comparing results to analytical values where available and to micromagnetic standard problems. MuMax3 also offers specific extensions like MFM image generation, moving simulation window, edge charge removal and material grains.
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References
39
[1]
[2]
[3]
"Micromagnetic simulations using graphics processing units" Journal of Physics D: Applied Physics (2012) 10.1088/0022-3727/45/32/323001
[4]
"Mumax: A new high-performance micromagnetic simulation tool" Journal of Magnetism and Magnetic Materials (2011) 10.1016/j.jmmm.2011.05.037
[5]
[6]
[7]
[8]
"A systematic approach to multiphysics extensions of finite-element-based micromagnetic simulations: Nmag" IEEE Transactions On Magnetics (2007) 10.1109/tmag.2007.893843
[9]
"Speedup of FEM micromagnetic simulations with graphical processing units" IEEE Transactions On Magnetics (2010) 10.1109/tmag.2010.2048016
[10]
"Scalable parallel micromagnetic solvers for magnetic nanostructures" Comput. Mater. Sci. (2003) 10.1016/s0927-0256(03)00119-8
[11]
"Fastmag: Fast micromagnetic simulator for complex magnetic structures" Journal of Applied Physics (2011) 10.1063/1.3563081
[12]
[13]
[14]
[15]
[16]
"Theory of the dispersion of magnetic permeability in ferromagnetic bodies" Phys. Z. Sowietunion (1935)
[17]
"Lagrangian formulation of the gyromagnetic equation of the magnetization field" Phys. Rev. (1955)
[18]
"Comparison of magnetostatic field calculation methods on two-dimensional square grids as applied to a micromagnetic standard problem" Journal of Applied Physics (1999) 10.1063/1.369929
[19]
"Behavior of mu mag standard problem no. 2 in the small particle limit" Journal of Applied Physics (2000) 10.1063/1.373391
[20]
"Periodic boundary conditions for demagnetization interactions in micromagnetic simulations" Journal of Physics D-applied Physics (2008) 10.1088/0022-3727/41/17/175005
[21]
"A new approach to (quasi) periodic boundary conditions in micromagnetics: The macrogeometry" Journal of Applied Physics
[22]
(1963)
[23]
"A variational approach to exchange energy calculations in micromagnetics" Journal of Applied Physics (1998) 10.1063/1.367690
[24]
"Exchange energy formulations for 3d micromagnetics" Physica B-condensed Matter (2004) 10.1016/j.physb.2003.08.090
[25]
"Chiral symmetry breaking in magnetic thin films and multilayers" Phys. Rev. Lett. (2001) 10.1103/physrevlett.87.037203
[26]
"Skyrmion confinement in ultrathin film nanostructures in the presence of dzyaloshinskii-moriya interaction" Phys. Rev. B (2013) 10.1103/physrevb.88.184422
[27]
Dynamics of Dzyaloshinskii domain walls in ultrathin magnetic films

André Thiaville, Stanislas Rohart, Émilie Jué et al.

Europhysics Letters (EPL) 2012 10.1209/0295-5075/100/57002
[28]
"Thermal fluctuations of a single-domain particle" Journal of Applied Physics (1963) 10.1063/1.1729489
[29]
"Thermal switching field distribution of a single domain particle for field-dependent attempt frequency" Journal of Applied Physics (2012) 10.1063/1.4737413
[30]
"Roles of nonequilibrium conduction electrons on the magnetization dynamics of ferromagnets" Physical Review Letters (2004) 10.1103/physrevlett.93.127204
[31]
"Current-driven excitation of magnetic multilayers" Journal of Magnetism and Magnetic Materials (1996) 10.1016/0304-8853(96)00062-5
[32]
"Boltzmann test of slonczewski’s theory of spin-transfer torque" Physical Review B (2004) 10.1103/physrevb.70.172405
[33]
"Proposal for a standard problem for micromagnetic simulations including spin-transfer torque" Journal of Applied Physics (2009) 10.1063/1.3126702
[34]
"Dynamic fe simulation of μmag standard problem no. 2" Journal of Applied Physics (1999) 10.1063/1.369930
[35]
"Solutions to micromagnetic standard problem no. 2 using square grids" Journal of Applied Physics (1999) 10.1063/1.369928
[36]
"Comparison of magnetostatic field calculation methods on two-dimensional square grids as applied to a micromagnetic standard problem" Journal of Applied Physics (1999) 10.1063/1.369929
[37]
"Magnetic states of small cubic particles with uniaxial anisotropy" Journal of Magnetism and Magnetic Materials (1998) 10.1016/s0304-8853(98)00328-x
[38]
"Current-driven domain wall mobility in polycrystalline permalloy nanowires: A numerical study" Journal of Applied Physics (2014) 10.1063/1.4883297
[39]
"Implementation of Two-Dimensional Polycrystalline Grains in Object Oriented Micromagnetic Framework" Journal of Research of NIST (2009) 10.6028/jres.114.005
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