248 lines
36 KiB
Text
248 lines
36 KiB
Text
{
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"cell_type": "code",
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"execution_count": 16,
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"id": "c265b324-30c9-451c-a23d-31cadf964a2c",
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"metadata": {},
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"outputs": [],
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"source": [
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"using LinearAlgebra\n",
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"using Plots"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 51,
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"id": "d3e2294e-e773-44ec-a654-d715230ef135",
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"metadata": {},
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"data": {
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"100×3 Matrix{Float64}:\n",
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" 0.0 0.0 0.0\n",
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" ⋮ \n",
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}
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"source": [
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"delta_t = 0.001\n",
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"T = 0.01\n",
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"\n",
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"m_0 = [1., 0, 0]\n",
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"\n",
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"H_ext = [0, 0, 1.]\n",
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"\n",
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"sols = zeros(100, 3)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 52,
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"id": "07fe4cf9-e12b-4263-923a-1c2346c61e56",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"llb_step (generic function with 1 method)"
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]
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},
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"execution_count": 52,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"function llb_step(m, dt, T, H_ext)\n",
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" H_eff = H_ext\n",
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" alpha_par = .1\n",
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" alpha_ort = .1\n",
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" gamma = 1 # 1.76*10^-11\n",
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" return gamma .* ( .- cross(m, H_eff) .- alpha_par / dot(m, m) .* dot(m, H_eff) .- alpha_ort / dot(m, m) * cross(m, cross(m, H_eff))) * dt\n",
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"end"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 53,
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"id": "6e309085-abeb-4c34-8a1b-4e3ffc542fc9",
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"metadata": {},
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"outputs": [],
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"source": [
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"m = m_0\n",
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"for i in 1:100\n",
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" m = llb_step(m, delta_t, T, H_ext)\n",
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" sols[i, :] = m\n",
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"end"
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]
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},
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{
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"100×3 Matrix{Float64}:\n",
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]
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