The equation of motion for a single spin relaxing in a magnetic field can be solved analytically





Document Interface Single Problems Multiple Simultaneous Problems Simultaneous Simulation and Movie Batch Mode Journal Viewer Graphics Full OpenGL 3D Graphics Single OGL Window Bitmap View Contour View 3D Slice 3D Surface Domain Domain/Arrow Overlay Variable Color Wheels Multiple OGL Windows and Views Multiple Simultaneous Perspective Views Input Cells Variable Contours Contour Indicator Material Color Codes Variable Color Maps Variable 3D Glyphs 2D Graphics Warp Bitmaps and Contour onto 3D Overlay Color, Arrows and Contours onto Data Edit Numerical Values of Graphics Save and Load Graphics to LLG 3D Dynamical Moments Graphics Rep Magnetization Direction Cosines Residuals Effective Fields Demagnetization Fields Energy Density Boundary Condition Fields Current Induced Fields Shielded External Field Hysteresis Loop Polar Hysteresis Loop MR Loop (R or dR/R) Magnetic Induction Gyromagnetic Torque Damping Torque Total Torque Dissipation H(surface) dHdz(surface) d²H/dz²(surface) Divergence of M Integrated B Current Flow Position Dependent External Fields Integrated Electron Phase Input Configuration Cartesian Grid Arbitrary but Fixed x, y, z Spacing Fixed Spacing Layers Variable Spacing Layers 2D Greens Function 3D Greens Function Continuous Hamiltonian Point Dipole Hamiltonian Atomic Lattices Arbitrary Number of Material Layers Complete 3D Position Dependent Input Parameters Magnetization Second Order Uniaxial Anisotropy Fourth Order Uniaxial Anisotropy Cubic Anisotropy Surface Anisotropy Interface Anisotropy Exchange Stiffness Resistivity AMR Ratio Polarization Anisotropy Type (Cubic or Uniaxial) Anisotropy Direction (Arbitrary) Material Database/Automated Entry Boundary Conditions Fixed M on Any Side Periodic in X, Y, Z, XY, XZ, YZ Continuous 2D Layer Dependent BCs Position Dependent BCs Computation Scheme Relaxation Integration Gauss-Seidel Integration Adaptive Edge Integration Maximum Iterations Minimum Iterations Complex 3D FFT Real 2D FFT Euler Integration Rotation Matrices Integration Predictor-Corrector Integration Variable Time Step Variable Convergence Criteria Energy Increase Flag Indicator Variable Demagnetization RHS Evaluator Variable Gyromagnetic Frequency Variable Damping Constant Finite Temperature (Langevin) Random Number Seeds Absolute Value of Largest and of Average Normalized Torque Absolute Value of Largest Change in Single and of Average of All Direction Cosines	Input Configuration Uniform Vortices Transitions Random Random Fraction From File 2D Walls Fixed Fields Static External Fields Pinning Fields Currents 2D Model Currents (Computed from R) 3D Model Currents (Computed from R) AC Currents: Superimposed or Not Time Dependent Currents Time Dependent Current Editor Spin Torques Layers Fixed Thickness Layers Variable Thickness Layers Number of Material Layers (GUI) Position Dependent Input GUI Input for Layers Hysteresis Loops Uniform Rotational Non-uniform Non-uniform Hysteresis Editor Arbitrary Loop Measurement Direction Time Dependent H Fields AC Fields Fixed Time Fields Arbitrary Waveforms Arbitrary Waveform Editor 3D Finite Permeability Shields Thickness and Shape Finite Permeability Shielded Loops Response to Media Cross Track Response Moving Media Imaging BC Magnets Mask Editor Position Dependent Parameter Editor Position Dependent Parameter Colors Variable 3D Resistivities Extended Media Model Input Editor Variable Surface Tiling/Coupling Editor Parameter Histogram Viewer Parameter BC Viewer Demagnetization Edge Correction Edge Magnetization and Roughness 3D Voronoi Cell Discretization Import Bitmap Files for Parameter Mapping Simulation Start, Stop and Interact View Energies and Progress View Hysteresis Progress Change/Alter Views Save Movie Files Adjust Parameters B-probe Movie Viewer Simulate a Movie Extract Hysteresis Data from a Movie Edit Movie Files Interpolate Movies File Editor Utilities Computer Information Disk Information Clock Calculator Graphical Picker Enhanced Persistent Graphical Picker