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@maxentile
Created March 19, 2021 13:37
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effect of MC barostat proposal frequency on box equilibration speed
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{
"cells": [
{
"cell_type": "markdown",
"id": "intensive-croatia",
"metadata": {},
"source": [
"* Grab a TIP3P water box and give it NPT(300K, 1atm)-atypical volume (maybe pad each side by 5 angstroms)\n",
"* Baseline: Run NPT simulation with Monte Carlo Barostat (tuning parameter: barostat frequency: maximum frequency is once per MD step, meaning a ~3x slow-down per step compared with NVT)\n",
"* Alternatives to consider:\n",
" * Run minimizer like L-BFGS on NPT reduced potential `u_npt(coords, box) = u(coords, box) + p V(box)`\n",
" * Note: while OpenMM doesn't compute `d u_npt / d box`, it can be easily approximated with 1D finite difference, because box is cubic\n",
" * Virial-based barostats\n",
" * Note: I guess the OpenMM MonteCarloBarostat in frequent-proposal limit should equilibrate the box about as fast per step as an overdamped Langevin piston? Possibly faster, since OpenMM MonteCarloBarostat adjusts proposal scale on the fly..."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "attached-telling",
"metadata": {},
"outputs": [],
"source": [
"import simtk.openmm as mm\n",
"from simtk import unit\n",
"from simtk.openmm.app import Simulation\n",
"\n",
"from openmmtools.testsystems import WaterBox\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"from tqdm import tqdm\n",
"from time import time"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "federal-electron",
"metadata": {},
"outputs": [],
"source": [
"water_box = WaterBox()\n",
"temperature = 300 * unit.kelvin\n",
"pressure = 1.0 * unit.atmosphere\n",
"\n",
"# picking mixed-precision for OpenMM simulations\n",
"# but will want to switch to double-precision for the step that requires finite-difference\n",
"platform = mm.Platform.getPlatformByName('CUDA')\n",
"platform.setPropertyDefaultValue('Precision', 'mixed')\n",
"platform.setPropertyDefaultValue('DeviceIndex', \"1\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "allied-journalist",
"metadata": {},
"outputs": [],
"source": [
"def get_box_equilibration_traj(barostat_frequency=25):\n",
" \n",
" # construct waterbox and add barostat force\n",
" water_box = WaterBox()\n",
" barostat = mm.MonteCarloBarostat(temperature, pressure, barostat_frequency)\n",
" water_box.system.addForce(barostat)\n",
" \n",
" # thermostat\n",
" integrator = mm.LangevinMiddleIntegrator(\n",
" temperature,\n",
" 1.0 / unit.picosecond,\n",
" 2.0 * unit.femtosecond\n",
" )\n",
" \n",
" sim = Simulation(\n",
" water_box.topology,\n",
" water_box.system,\n",
" integrator,\n",
" platform=platform\n",
" )\n",
" \n",
" sim.context.setPositions(water_box.positions)\n",
" \n",
" # pad box\n",
" box = np.eye(3) * 3.0 * unit.nanometer\n",
" sim.context.setPeriodicBoxVectors(*box)\n",
" \n",
" def get_box():\n",
" \"\"\"get united 3x3 numpy array, rather than lest of Vec3s\"\"\"\n",
" state = sim.context.getState(getPositions=True)\n",
" return np.array([row / unit.nanometer for row in state.getPeriodicBoxVectors()]) * unit.nanometer\n",
" \n",
" # run 100,000 MD steps, saving the box dimensions every thinning steps\n",
" box_traj = []\n",
" thinning = 10\n",
" t0 = time()\n",
" for _ in tqdm(range(10000)):\n",
" sim.step(thinning)\n",
" box_traj.append(np.diag(get_box()))\n",
" t1 = time()\n",
" \n",
" n_steps = np.arange(len(box_traj)) * thinning\n",
" box_traj = np.array(box_traj)\n",
" elapsed_time = t1 - t0 # note: includes overhead of stopping every 10 steps to grab box\n",
" \n",
" return n_steps, box_traj, elapsed_time"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "quarterly-logan",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[1, 2, 3, 4, 5, 6, 8, 11, 14, 18, 23, 29, 37, 48, 61, 78, 100]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"barostat_frequencies = sorted(set(map(int, np.logspace(0, 2, num=20))))\n",
"barostat_frequencies"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "interpreted-lying",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [01:01<00:00, 162.46it/s]\n",
"100%|██████████| 10000/10000 [00:41<00:00, 238.46it/s]\n",
"100%|██████████| 10000/10000 [00:35<00:00, 284.75it/s]\n",
"100%|██████████| 10000/10000 [00:31<00:00, 315.05it/s]\n",
"100%|██████████| 10000/10000 [00:29<00:00, 337.58it/s]\n",
"100%|██████████| 10000/10000 [00:28<00:00, 349.88it/s]\n",
"100%|██████████| 10000/10000 [00:26<00:00, 372.10it/s]\n",
"100%|██████████| 10000/10000 [00:25<00:00, 393.17it/s]\n",
"100%|██████████| 10000/10000 [00:24<00:00, 408.26it/s]\n",
"100%|██████████| 10000/10000 [00:23<00:00, 421.66it/s]\n",
"100%|██████████| 10000/10000 [00:23<00:00, 431.92it/s]\n",
"100%|██████████| 10000/10000 [00:22<00:00, 442.62it/s]\n",
"100%|██████████| 10000/10000 [00:22<00:00, 448.63it/s]\n",
"100%|██████████| 10000/10000 [00:21<00:00, 456.07it/s]\n",
"100%|██████████| 10000/10000 [00:21<00:00, 460.90it/s]\n",
"100%|██████████| 10000/10000 [00:21<00:00, 463.54it/s]\n",
"100%|██████████| 10000/10000 [00:21<00:00, 468.08it/s]\n"
]
}
],
"source": [
"results = []\n",
"for barostat_frequency in barostat_frequencies:\n",
" results.append(get_box_equilibration_traj(barostat_frequency))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "undefined-climb",
"metadata": {},
"outputs": [],
"source": [
"cmap = plt.get_cmap('viridis')\n",
"colors = cmap.colors[::len(cmap.colors) // len(barostat_frequencies)][:len(barostat_frequencies)]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "swedish-bahamas",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'padded water box equilibration,\\nas a function of # MD steps')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# plot first by num MD steps, then plot by wall time\n",
"for i in range(len(barostat_frequencies)):\n",
" n_steps, box_traj, elapsed_time = results[i]\n",
" plt.plot(\n",
" n_steps,\n",
" box_traj[:,0],\n",
" label=barostat_frequencies[i],\n",
" color=colors[i],\n",
" alpha=0.8\n",
" )\n",
"plt.legend(title='barostat proposal interval', loc=(1,0))\n",
"plt.xlabel('# MD steps')\n",
"plt.ylabel('box dimensions (nm)')\n",
"\n",
"plt.title('padded water box equilibration,\\nas a function of # MD steps')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "subtle-leather",
"metadata": {},
"outputs": [],
"source": [
"nvt_time = results[-1][-1]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "integral-disclaimer",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'padded water box equilibration,\\nas a function of wall time')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# plot first by num MD steps, then plot by wall time\n",
"for i in range(len(barostat_frequencies)):\n",
" _, box_traj, elapsed_time = results[i]\n",
" plt.plot(\n",
" np.linspace(0, elapsed_time, len(box_traj)),\n",
" box_traj[:,0],\n",
" label=f'{barostat_frequencies[i]} ({elapsed_time / nvt_time:.1f}x slower)',\n",
" color=colors[i],\n",
" alpha=0.8,\n",
" )\n",
"plt.legend(title='barostat proposal interval', loc=(1,0))\n",
"plt.xlabel('wall time (s)')\n",
"plt.ylabel('box dimensions (nm)')\n",
"\n",
"plt.title('padded water box equilibration,\\nas a function of wall time')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "neutral-armenia",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'padded water box equilibration,\\nas a function of wall time')"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# plot first by num MD steps, then plot by wall time\n",
"for i in range(len(barostat_frequencies)):\n",
" _, box_traj, elapsed_time = results[i]\n",
" if i < 7:\n",
" color = colors[i]\n",
" else:\n",
" color = 'grey'\n",
" plt.plot(\n",
" np.linspace(0, elapsed_time, len(box_traj)),\n",
" box_traj[:,0],\n",
" label=barostat_frequencies[i],\n",
" color=color,\n",
" alpha=0.8,\n",
" )\n",
"\n",
"plt.legend(title='barostat proposal interval', loc=(1,0))\n",
"plt.xlabel('wall time (s)')\n",
"plt.ylabel('box dimensions (nm)')\n",
"\n",
"plt.xlim(0, 10)\n",
"\n",
"plt.title('padded water box equilibration,\\nas a function of wall time')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "another-candidate",
"metadata": {},
"outputs": [],
"source": [
"def time_to_equilibrate(x, thresh=2.4345):\n",
" return np.argmax(x < thresh)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "crazy-period",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.LineCollection at 0x7f351a794050>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(box_traj[:,0])\n",
"plt.vlines(time_to_equilibrate(box_traj[:,0]), 2.3, 2.5, color='grey')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "wireless-yacht",
"metadata": {},
"outputs": [],
"source": [
"equil_wall_times = []\n",
"equil_md_steps = []\n",
"for i in range(len(barostat_frequencies)):\n",
" n_steps, box_traj, elapsed_time = results[i]\n",
" ind = time_to_equilibrate(box_traj[:,0])\n",
" \n",
" t = elapsed_time * (ind / len(box_traj))\n",
" equil_wall_times.append(t)\n",
" equil_md_steps.append(n_steps[ind])"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "quick-italic",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 5.762751982529164)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(barostat_frequencies, equil_wall_times, '-o')\n",
"plt.xlabel('barostat proposal interval')\n",
"plt.ylabel('wall time (s) required to equilibrate box')\n",
"plt.ylim(0,)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "accompanied-fight",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 27036.5)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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K1JG5ZKWnRDok00iF6s76Q4NFYYxpNJYX7GXI8/Np2SyZqaNyadO81smYJo6F6s76uCEDMcZExqxFBYybs5othcVkZ6RQdKiMVs1SmDoql3YtUiMdnmnkQnVnvaKq14rIMoLPzjo9rJEZY8Ju1qIC7p25jOKyCgC2F5UAMPysLnRsmRbJ0EyUCNWd9VP389KGCMQY0/DGzVl9OIEEeuHTDYz8brcIRGSiTajurK3u51cNF44xpqF8sWM/BYXFQd/bUkO7MdXVetupiBRxpDsrGUgCDqhq83AGZoypf4fKKnh72Vam521iwZe7a9yufaaNhRh//CxKlVH13NWougIYGM6gjDH1a+WWfUzP28gbiwooOlTOia3T+NWgnqQnJ/LIO9/s0kpNSmTMxT0jGK2JJsdUAMeVbp8lIvfjrUhojGmkig6V8fclW5met5Glm/eS3CSBS047gev6d2Jg19aHl7Ftnpp8eHZW+8xUxlzck8H9gi7NY8xR/HRnXRnwMgFvmdpDYYvIGFNnqspnGwuZkbeRvy/ZSnFZBT3bZnD/Zb0Y3LcDLYPcdT64XwdLGqbO/FyJXBbwvBzYgNelZYxpJPYcKGXmogJm5G1kzbb9pCUncnmf9lw/oBN9O2Xi9UQbU//8jIkcb0l4Y0wYVFYq/12/i+l5m5iz/GtKKyrp0ymTR67szWV92lu5dtMg/HRnPRXq/WgtCW9MtNq+7xCv5m9mRt4mNu4+SPOmTbgxtzPX9e/Et9rZpEnTsPz8qdIU6AXMcK+vAVYC/w1XUMaYbyqvqOTjNTuYtmATH67eTkWlMrBbK+6+6GQGnXaCLVNrIsZPEjkdOFtVywFE5G/Av1T1R2GNzBjDpt0HmZG3iVfzN7FtXwlZ6SmM+m43ruvfia5ZzSIdnjG+kkhLoDlQdWdSumszxoRBSXkFc1duY/qCTfx73U5E4JyTs/nfyztzwbfakJSYEOkQjTnMTxJ5FFgkIh8CAnwPeCCcQRkTj9ZtL2L6gk3MXFTA7gOldMhM5ecXnsw1OR3tDnLTaPmZnfWCiLwD5Lqme1T16/CGZUx8OFhazj+WbmVG3iYWfrWHJgnCRb3acv2Azpx9UhaJCTY11zRufmZnCXAh0E1VHxSRziIyQFUXhD88Y6Jf4HodVXeEn9QmnWkLNjJ78RaKSsrpltWMey85havO7GirCJqo4qc7669AJXA+8CBQBLwO9A9jXMbEhOrrdRQUFvPzVxajCilNEvif3u24rn8nBnRtZTcEmqjkJ4nkquoZIrIIQFX3iMjRtROMMUcJtl6HKrRITeKTX51Hi9SkCEVmTP3wM82jTEQSceXgRSQb78rEGFOLmtbl2FdcZgnExAQ/SeQp4A2gjYj8H/Bv4P+FNSpjYkTLtOCJwmZbmVjhZ3bWyyKSD1yAN8V3sKquCntkxkS5d5dvZc/BMkS8Lqwqtl6HiSW+KrSp6ufA52GOxZiYMWfF19w5dRH9OmdybU5Hnv7gC1uvw8QkK/NpTD3754qvuePlz+jdsQWTbx1ARtMkrh9wYqTDMiYsrH6CMfXovZXbuGPqZ5za4UgCMSaW+boSEZG2HLkvZIGqbg9fSMZEpw8+38btL+fTq11zXrx1AM0tgZg4UOuViIhcCyzAKwF/LTBfRK4Od2DGRJMPV2/nR1M+41vtmvPiiFybvmvihp/urF8D/VV1qKoOAQYAv61tJxGZKCLbRWR5QNsDIlIgIovd4wcB790rIutEZLWIXBzQPsi1rRORsQHtXUVkvmufYTdAmkj5aPV2bpuSz8knpDPlVksgJr74SSIJ1bqvdvncbxIwKEj7n1S1r3u8DSAivYDrgVPdPn8VkUR3k+NfgEvwFsa6wW0L8Hv3WScBe4ARPmIypl59smYHo6fkc1J2Oi+NyKVFDfeFGBOr/CSDd0VkjogME5FhwD+Ad2rbSVU/4cgaJLW5ApiuqiWq+iWwDu+KZwCwTlXXq2opMB24whWFPB94ze0/GRjs81jG1It/rd3BqBcX0j07nZdH5pKZZhfDJv7UmkRUdQzwLN4Kh6cDz6nqr47jmHeKyFLX3VW1uFUHYFPANptdW03trYHCqtUWA9qDEpHRIrJQRBbu2LHjOEI3xvPpup2MnLyQrlnNeHlkLi2bWQIx8cnPwPrvVXWmqt7tHm+IyO/reLxngO5AX2Ar8Mc6fs4xUdXnVDVHVXOys7Mb4pAmhv1n3U5GTM6ja1Yzpo4aSCtLICaO+enOuihI2yV1OZiqblPVClWtBMbjdVcBFACdAjbt6Npqat8FZIpIk2rtxoTVf7/Yxa2T8zixlXcFYgnExLsak4iI3C4iy4Cervup6vElsLQuBxORdgEvfwhUzdyaDVwvIiki0hXogTetOA/o4WZiJeMNvs9WVQU+BKqmGg8F3qxLTMb4NW/9Lm6dlEenlmm8PCqX1rZ4lDEhbzacijeA/ggwNqC9SFVrHTAXkWnAuUCWiGwG7gfOFZG+eGXlNwC3AajqChF5BVgJlAN3qGqF+5w7gTlAIjBRVVe4Q9wDTBeRh4FFwPM+zteYOpm/fhfDX8ijQ8tUpo4aaKsPGuOIBpYXjQM5OTm6cOHCSIdhokjeht0MnbiAdi2aMm30QNpkNI10SMY0OBHJV9Wc6u1WO8uYEBZu2M2wiQs4oXlTpo2yBGJMdZZEjKlB/ld7GPZCHm2auyuQ5pZAjKnOkogxQXy2cQ9DJy4gKz2ZaaMG0tYSiDFB1TiwLiJFuHXVg1HV5mGJyJgIW7ypkKHPL6B1ejLTRg/khBaWQIypSY1JRFUzAETkIbwbA6fgLY97E9Cupv2MiWZLNhVyy/PzadnMuwJp18LWQjcmFD/dWZer6l9VtUhV96nqM3i1royJKUs3F3Lz8/PJTEti2uiBtM+0BGJMbfwkkQMicpOrqpsgIjcBB8IdmDENaXnBXm6eMJ8WqUlMGzWQDpZAjPHFTxK5EW8xqm3ucY1rMyYmLC/Yy00T5pPR1EsgHVumRTokY6JGrcvjquoGrPvKxKgVW/Zy8/PzSU9pwvTRA+nUyhKIMcfCTxXfk0Xk/aoVCkXkdBH5TfhDMya8Vm7Zx00T5pOalMi0UZZAjKkLP91Z44F7gTIAVV2KVwjRmKi1aus+bpowj6ZNEpk+eiCdW1sCMaYu/CSRNFVdUK2tPOiWxkSB1V8XcdOE+SQ3SWD66IGc2LpZpEMyJmr5SSI7RaQ77sZDEbka774RY6LOmm1F3Dh+Hk0ShOmjv02XLEsgxhyPWgfWgTuA54BTRKQA+BLvhkNjospal0ASE4RpowfS1RKIMcctZBIRkUTgx6p6oYg0AxJUtahhQjPm+M1aVMC4OavZUliMCDRLTuSNO86me3Z6pEMzJiaE7M5yC0Od7Z4fsARiosmsRQXcO3MZBYXFKFCpUFqhLC/YG+nQjIkZfrqzFonIbOBVAu5UV9WZYYvKmHrw2JzPKS6r+EZbSXkl4+asZnC/DhGKypjY4ieJNAV2AecHtClgScQ0SqrKnBXb2FJ4KOj7WwqLGzgiY2KXnzvWhzdEIMYcL1Xlk7U7+eM/V7N0816aJAjllUevZmCFFY2pP6HWE/mVqj4mIk8TZF0RVf1JWCMz5hgs+HI3f5izmgUbdtMhM5XHrj6dJgK/nrXiG11aqUmJjLm4ZwQjNSa2hLoSWeV+LmyIQIypi2Wb9zLun6v5ZM0OsjNSePCKU7mufydSmiQCkJCQcHh2VvvMVMZc3NPGQ4ypR6Ja4+KFMSknJ0cXLrS8GO3WbCvi8X+u4d0VX5OZlsTt53RnyLe7kJqcGOnQjIlJIpKvqjnV22sdExGRDwnenXV+kM2NCauvdh3giffWMmtxAc2Sm/CzC3sw4uyuZDRNinRoxsQlP7OzfhnwvClwFVY7yzSwrXuLeer9dby6cBNNEoXR3+3Gj87pTstmyZEOzZi45md2Vn61pk9FpHpBRmPCYuf+Ep756AumzPsKVeXG3M7ced5JtGneNNKhGWPw153VKuBlAnAm0CJsERkD7C0uY/wn65n46ZccKqvgqjM68pMLetiaH8Y0Mn66s/LxxkQErxvrS2BEOIMy8etASTmT/rOBZz/+gn2Hyrn09Hb8/KKTrdaVMY2Un+6srg0RiIk/gcUR27VoyoCurfj3up3s3F/Khd9qw90X9aRX++aRDtMYE4Kf7qwrQ71vNbRMXVQVR6y6EXDL3kPMWryFHm2a8dyQHM7o3DLCERpj/PDTnTUC+A7wgXt9HvAfYAdWQ8vU0bg5q48qjghwsLTSEogxUcRPEkkCeqnqVgARaQdMsppa5njUVATRiiMaE138LI/bqSqBONuAzrXtJCITRWS7iCwPaGslInNFZK372dK1i4g8JSLrRGSpiJwRsM9Qt/1aERka0H6miCxz+zwlIuLrjE2jkJYS/M5yK45oTHTxk0TeF5E5IjJMRIYB/wDe87HfJGBQtbaxwPuq2gN4370GuATo4R6jgWfg8PTi+4FcYABwf1XicduMCtiv+rFMI/XCp19yoKSCxIRv5n0rjmhM9Kk1iajqncDfgD7u8Zyq3uVjv0+A3dWarwAmu+eTgcEB7S+qZx6Q6brNLgbmqupuVd0DzAUGufeaq+o89Yp/vRjwWaYRm7Piax58ayUXn9qWcVedTofMVATokJnKI1f2tuKIxkQZP2MiAJ8BRar6noikiUhGHZfKbRvQNfY10NY97wBsCthus2sL1b45SHtQIjIa7wqHzp1r7YkzYbJ4UyE/nb6IPh0zeeK6fqQmJ3LlmR0jHZYx5jjUeiUiIqOA14BnXVMHYNbxHthdQTRICWFVfU5Vc1Q1Jzs7uyEOaarZuOsgIybl0SajKROG5li1XWNihJ8xkTuAs4B9AKq6FmhTx+Ntc11RVbO8trv2AqBTwHYdXVuo9o5B2k0jtOdAKcNeWECFKi8M709WekqkQzLG1BM/SaREVUurXohIE+p+BTEbqJphNRR4M6B9iJulNRDY67q95gDfF5GWbkD9+8Ac994+ERnoZmUNCfgs04gcKqtg9JSFbC4sZvyQHCtfYkyM8TMm8rGI3AekishFwI+Bv9e2k4hMA84FskRkM94sq0eBV0RkBPAVcK3b/G3gB8A64CAwHEBVd4vIQ0Ce2+5BVa0arP8x3gywVOAd9zCNSGWl8stXl5C3YQ9P39CP/l1a1b6TMSaq1LqyoftLfyTeVYDgXR1M0ChdEtFWNmw4j77zOX/7+AvGXnIKPzqne6TDMcYchzqtbCgiicAKVT0FGB+u4EzseWneV/zt4y+4eWBnbvtet0iHY4wJk5BjIqpaAawWEZsXa3z74PNt/O7N5Zx/ShseuOxUrJiAMbHLz5hIS2CFW83wQFWjql4etqhM1Fq2eS93Tl1Er/bNefqGfjRJ9DN3wxgTrfwkkd+GPQoTEzbvOcitk/NomZbMxKH9aZbi915WY0y08rMo1ccNEYiJbnuLyxj+Qh6HyiqYOjLX1kA3Jk5YX4M5bqXllfxoSj4bdh3g2VvOpEfbjEiHZIxpINbfYI6LqnLP60v57/pd/Om6Pnyne1akQzLGNKBjuhJxd46fHq5gTPR5fO4a3lhUwC8uOpkf9rNiisbEGz9rrH8EXO62zQe2i8inqnp3mGMzjdSsRQWMm7OaArcK4cCurbjz/JMiHJUxJhL8XIm0UNV9wJV4a37kAheGNyzTWM1aVMC9M5cdTiAAizcX8ubiLRGMyhgTKX6SSBNXcfda4K0wx2MauXFzVlNcVvGNtkNllYybszpCERljIslPEnkQr17WF6qaJyLdgLXhDcs0VlsCrkD8tBtjYpuf+0ReBV4NeL0euCqcQZnGac+BUhIThPLKo2tvts9MjUBExphI87OyYTcR+buI7BCR7SLyprsaMXGkuLSCEZPzUFWSm3zzv01qUiJjLu4ZociMMZHkpztrKvAK0A5oj3dVMi2cQZnGpbyikrumLWLRpkL+ctMZPHbV6XTITEWADpmpPHJlbwb3q3GJe2NMDPNzs2Gaqk4JeP2SiIwJV0CmcVFVfvvmCt5btY0HrziVQae1A7CkYYwB/CWRd0RkLDAdb1nc64C3RaQVeKsPhjE+E2FPf7COaQs28uNzuzPk210iHY4xppHxk0SqlrC9rVr79XhJxcZHYtSMvI08PncNV57RwcY8jDFB+Zmd1bUhAjGNywefb+O+N5bzvZOz+f1Vp9vCUsaYoPzMzkoTkd+IyHPudQ8RuTT8oZlIWbypkDteXkSvds35601nkGQLSxljauDnt8MLQCnwHfe6AHg4bBGZiFq/Yz+3TsojOyOFicP6k24LSxljQvCTRLqr6mNAGYCqHgSsbyMG7SgqYegLCwCYfOsAsjNSIhyRMaax85NESkUkFW8QHRHpDpSENSrT4PaXlDN80gJ2FpUycVh/umY1i3RIxpgo4Kev4gHgXaCTiLwMnAUMD2dQpmGVlldy+0v5rNpaxIQhOfTtlBnpkIwxUcLP7Kx/ikg+MBCvG+unqroz7JGZBqGqjH19Kf9au5PHrjqd805pE+mQjDFRxM+iVO+r6gXAP4K0mShUtajUlsJimqU0YX9JOXdfdDLX9u8U6dCMMVGmxiQiIk2BNCBLRFpyZDC9OWA1L6JU1aJSVWuC7C8pJzFB6NTSqvAaY45dqIH12/CWwz3F/ax6vAn8OfyhmXB47N3Pj1pUqqJS+cM/10QoImNMNKvxSkRVnwSeFJG7VPXpBozJHKPA7qn2mamMubjn4QKJ5RWVLC3Yy3/W7eTTdbvYsvdQ0M+wRaWMMXXhZ3bW1yKSoapFIvIb4AzgYVX9LMyxGR+qd08VFBZzz+tL+Xj1dopKypm/fjdFJeUAfKtdc9JTEtlfUnHU59iiUsaYuvCTRH6rqq+KyNnAhcA44BkgN6yRGV+CrXleUl7JG4u3cGLrNC7t056zTmrNt7u1pnV6ylFJB2xRKWNM3flJIlW/bf4HeE5V/yEix1X2REQ2AEXus8tVNceVlp8BdAE2ANeq6h7xKv89CfwAOAgMq7oKEpGhwG/cxz6sqpOPJ65oVFM3lAAfjznvqPaqbq6aur+MMeZY+EkiBSLyLHAR8HsRScHfne61Oa/a/SZjgfdV9VG3fslY4B7gEqCHe+TiroJc0rkfyMG7mz5fRGar6p56iC1qtMtsypbCo8c5QnVPDe7XwZKGMaZe+EkG1wJzgItVtRBoBYRjZcMrgKoricnA4ID2F9UzD8gUkXbAxcBcVd3tEsdcYFAY4mrU+nbMPKrNuqeMMQ3Fzx3rB4GZAa+3AluP87gK/FNEFHhWVZ8D2rrPBvgaaOuedwA2Bey72bXV1B43Vn9dxNxV2+jbqQU7ikqte8oY0+AiVef7bFUtEJE2wFwR+TzwTVVVl2DqhYiMBkYDdO7cub4+NqLKKyr55atLaN40ieeH9qd1ulXcNcY0vIisNqSqBe7nduANYACwzXVT4X5ud5sXAIH1ODq6tpragx3vOVXNUdWc7Ozs+jyViHnuX+tZVrCXhwafZgnEGBMxflY2zBSR/u7R4ngPKCLNRCSj6jnwfWA5MBsY6jYbindnPK59iHgGAntdt9cc4Psi0tKVZfm+a4t5a7cV8cTctfyg9wn8oHe7SIdjjIljoWpnpQDP4g1wf4k3a/REEXkD+JGqltbxmG2BN9ya3U2Aqar6rojkAa+IyAjgK7wBfYC38ab3rsOb4jscQFV3i8hDQJ7b7kFV3V3HmKJGeUUlv3xtKc1SEnnwitMiHY4xJs6FGhP5NZAEdFLVIgB3BfEX4LfuccxUdT3QJ0j7LuCoysCqqsAdNXzWRGBiXeKIVhP+/SVLNhXy9A39yLJuLGNMhIXqzroSGFWVQADc8x8DPwx3YOZo67bv5/G5axh06glcerp1YxljIi9UEql003u/QVX345bKNQ2nolIZ89oS0pITeWjwabjuQGOMiahQ3VlabR2RQJVhisdUU1Wht8CVN7llYGeyM6wbyxjTOIRKIi3w1g8JlkTsSqQBBCuW+Fr+Zs48sZXdTGiMaRRCrSfSpQHjMEEEq9BbXFbJuDmrLYkYYxqFUFN8zwi1o60nEn41Vei1BaSMMY1FqO6shXg3AVZV2g3s1lLg/HAFZby1z5OaJFBafvTwky0gZYxpLEIlkbuBq4FiYDrwhpuZZcJs78Eyhr6wgLLySpIShbKKI0NQVqHXGNOY1DjFV1WfUNWzgbvwalS9LyKviEjfhgouHu3cX8L14+excss+nr3lTMZd3YcOmakI0CEzlUeu7G3jIcaYRsNPKfj1IvImkArcApwMLA5zXHFp695ibpowny2FxTw/LIfv9vCKRVrSMMY0VqEG1rsB1+MtCrUJr0vr/6mqjeqGwcZdB7lxwjz2Hixjyohc+ndpFemQjDGmVqGuRNYBS/Gq6e4DOgO3V90praqPhz26GFZ1E+GWwmKyM1I4VFZOQkICU0cNpHfH4y6WbIwxDSJUEnmQIzcVpjdALHGj+k2E24tKALhn0EmWQIwxUSXUzYYPNGAccSXYTYQAL83byO3nnhSBiIwxpm4itTxu3Ajstmqfmcod53c/XAerOruJ0BgTbSyJhFH1bquCwmLum7m8xu3tJkJjTLSxJBIG1SvvVpeRkkh5Jd/o0rKbCI0x0cjPGuu/CXhuNchrUXX1UVMCAdhfUsEjV/a2mwiNMVEv1H0i9wCf4JU+edg1/xcIWZgx3tU0aB6ofWYqg/t1sKRhjIl6obqzPgeuAbqJyL/c69Yi0lNVVzdIdFGotsFx67YyxsSSUN1ZhcB9eDcdngs86drHish/whtW9Jm1qICzHv0g5Gpd1m1ljIk1oa5ELgZ+B3QHHse7e/2Aqg5viMCiQeAAulDzco+pSYmWPIwxMSnUzYb3AYjIEmAK3lhItoj8G9ijqpc1TIiNU/XpuzUlkA6ZqYy5uKclEGNMTPIzxXeOqi4EForI7ap6tohkhTuwxqq26buBBPh0rK3dZYyJXX5Kwf8q4OUw17Yz+NaxrfrVR23s5kFjTKw7ppsNVXVJuAJpzI7l6qOKzcIyxsQDu2O9Fsdy9VE1uG7jIMaYeGFJpBZ+bh4ESxzGmPhkSaQWfm4etOm7xph4VWvtrHgXanDcbh40xsQ7SyK1GHNxT1KTEr/RlpqUyBPX9eXTsedbAjHGxDXrzqpFVZIIXFjKxj6MMcYT9UlERAbh1fVKBCao6qP1fQyruGuMMcFFdXeWiCQCfwEuAXoBN4hIr8hGZYwx8SOqkwgwAFinqutVtRSYDlwR4ZiMMSZuRHt3VgdgU8DrzUBu9Y1EZDQw2r3cLyLHsh5KFhBvZV7i8ZwhPs87Hs8Z4vO8j/ecTwzWGO1JxBdVfQ54ri77ishCVc2p55AatXg8Z4jP847Hc4b4PO9wnXO0d2cVAJ0CXnd0bcYYYxpAtCeRPKCHiHQVkWTgemB2hGMyxpi4EdXdWapaLiJ3AnPwpvhOVNUV9XyYOnWDRbl4PGeIz/OOx3OG+DzvsJyzqIZaFdwYY4ypWbR3ZxljjIkgSyLGGGPqzJJIDURkkIisFpF1IjI20vGEi4h0EpEPRWSliKwQkZ+69lYiMldE1rqfLSMda30TkUQRWSQib7nXXUVkvvvOZ7jJGjFFRDJF5DUR+VxEVonIt2P9uxaRn7v/28tFZJqINI3F71pEJorIdhFZHtAW9LsVz1Pu/JeKyBl1Pa4lkSDirJxKOfALVe0FDATucOc6FnhfVXsA77vXseanwKqA178H/qSqJwF7gBERiSq8ngTeVdVTgD545x+z37WIdAB+AuSo6ml4E3CuJza/60nAoGptNX23lwA93GM08ExdD2pJJLi4KaeiqltV9TP3vAjvl0oHvPOd7DabDAyOSIBhIiIdgf8BJrjXApwPvOY2icVzbgF8D3geQFVLVbWQGP+u8WahpopIEyAN2EoMfteq+gmwu1pzTd/tFcCL6pkHZIpIu7oc15JIcMHKqcR8GV8R6QL0A+YDbVV1q3vra6BtpOIKkyeAXwGV7nVroFBVy93rWPzOuwI7gBdcN94EEWlGDH/XqloA/AHYiJc89gL5xP53XaWm77befsdZEjEAiEg68DrwM1XdF/ieevPAY2YuuIhcCmxX1fxIx9LAmgBnAM+oaj/gANW6rmLwu26J91d3V6A90Iyju3ziQri+W0siwcVVORURScJLIC+r6kzXvK3q8tb93B6p+MLgLOByEdmA11V5Pt5YQabr8oDY/M43A5tVdb57/RpeUonl7/pC4EtV3aGqZcBMvO8/1r/rKjV9t/X2O86SSHBxU07FjQU8D6xS1ccD3poNDHXPhwJvNnRs4aKq96pqR1XtgvfdfqCqNwEfAle7zWLqnAFU9Wtgk4j0dE0XACuJ4e8arxtroIikuf/rVecc0991gJq+29nAEDdLayCwN6Db65jYHes1EJEf4PWbV5VT+b/IRhQeInI28C9gGUfGB+7DGxd5BegMfAVcq6rVB+2inoicC/xSVS8VkW54VyatgEXAzapaEsHw6p2I9MWbTJAMrAeG4/0xGbPftYj8L3Ad3kzERcBIvP7/mPquRWQacC5eyfdtwP3ALIJ8ty6h/hmva+8gMFxVF9bpuJZEjDHG1JV1ZxljjKkzSyLGGGPqzJKIMcaYOrMkYowxps4siRhjjKkzSyKm0RCRLoEVSBvgeIP9FNb0u11jJCIfiUhOkPYJtZ1TQ523iAwTkT+H+zgmPCyJmJgRcAeyX4PxqjTX13ZB1SGusFPVkaq6spbNBnOM590Yz9WElyUR09g0EZGX3VoXr4lIGoCI/E5E8tyaEM+5m6Wq/tJ+QkQWAj8VkQtcccFlbn2FFLfdo+KtmbJURP4gIt8BLgfGichiEekuIqPcMZaIyOvuLuejtgsMVkQmicjfRGShiKxxdbmq/rqeLSIfAO+7dR1muePPE5HT3XYPiMgUEfmvW/NhlGsXERnnzneZiFzn2tuJyCculuUi8l3X/oyLYYW7uS6kwCsUEdkvIv/nznueiLSt4d+nu4i8KyL5IvIvETml2r/BfOAxEdkgIpkBx1rrPvMy8dbwWCQi74lIzBR6jGuqag97NIoH0AWvQNxZ7vVEvLvJAVoFbDcFuMw9/wj4q3veFK8y6cnu9YvAz/Aq9K7myM21me7nJODqgM9tHfD8YeCuYNtVi3kS8C7eH2Q98OpTNQWGueet3HZPA/e75+cDi93zB4AlQCrencab8AoFXgXMxauY0BavfEc74BfAr92+iUBG4L+Pa/sIOD3g3ycnSNyH292/edW/52PAb2r493kf6OGe5+KVi6na7i0g0b1+Eu8O6Krt3nPPWwZ8ByOBP7rnw4A/R/r/nz3q9rArEdPYbFLVT93zl4Cz3fPz3F+xy/B+CZ8asM8M97MnXrG9Ne71ZLz1M/YCh4DnReRKvDIPwZzm/sJeBtxU7RihvKKqlaq6Fq+UyCmufa4eKR9yNl7yQ1U/AFqLSHP33puqWqyqO/FqOg1w209T1QpV3QZ8DPTHq+s2XEQeAHqrtwYMwLUi8hleCY9TObZuqFK8JABemfQu1TcQr8rzd4BXRWQx8CxeUqvyqqpWuOcz8MqMgFebrOr76QjMcf++Y/D/72saMUsiprGpXodHRaQp8Fe8v4p7A+Px/tqvciDkB3rrRgzAq1p7Kd6VQzCTgDvdMf632jGOKWY/cfnY/+gNvYWHvodXcXWSiAwRka7AL4ELVPV04B/4jx2gTFWrjlmBVzK+ugS8NTj6Bjy+FfB+4Ln+FzhJRLLxxlWqKkM/jXfF0Ru47RhjNI2UJRHT2HQWkW+75zcC/+bIL5ud7i/iq4Pu6XVZdRGRk9zrW4CP3T4tVPVt4Od4y8ICFAEZAftnAFvFK41/U0B79e2qu0ZEEtx4STcXR3X/qvpM8Yo+7tQj67ZcId66363xCujlue2vE28d+Gy8xLFARE4EtqnqeLxCimcAzfF+ie914wyXhIj1WBw+bxfrlyJyjTsHEZE+wXZyCekN4HG86tC73FstOFJufGiwfU30sSRiGpvVeOu8r8LrQ39GvSVcxwPLgTl4v2SPoqqH8KrSvuq6TCqBv+H9InxLRJbiJaW73S7TgTFuoLc78Fu86sWfAp8HfHT17arbCCwA3gF+5OKo7gHgTBfDo3zzl+hSvG6secBDqroF75fwUrzxkg+AX6lXyv1cYImILMLrMnpSVZfgdWN9Dkx18deH6ud9EzBCRJYAKwi9ZPQM4GaOdGWB92/wqojkAzvrKUYTYVbF15jjICKTgLdU9bXatq1h/weA/ar6h/qMy5iGYlcixhhj6syuRIwxxtSZXYkYY4ypM0sixhhj6sySiDHGmDqzJGKMMabOLIkYY4yps/8PQ/Wru5MJoJAAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(barostat_frequencies, equil_md_steps, '-o')\n",
"plt.xlabel('barostat proposal interval')\n",
"plt.ylabel('# MD steps required to equilibrate box')\n",
"plt.ylim(0,)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "stable-jacksonville",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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