bigphys-HW1-Victra15.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 빅데이터 물리학 과제1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1주차 (9월11일): python기본, google colab사용법, github에 파일 업로드 하기 jupyter notebook\n",
    "\n",
    "예제 문제풀이: projectile motion, harmonic oscillator\n",
    "\n",
    "과제: N-harmonic oscillator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import *\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "oscilator 입자의 개수: 5\n",
      "[[1.5], [2.0], [3.0], [4.0], [5.0]] \n",
      " [[0], [0], [0], [0], [0]] \n",
      " [[0], [0], [0], [0], [0]]\n"
     ]
    }
   ],
   "source": [
    "c = 0.01 # damping constant\n",
    "k = 0.1 # spring constant\n",
    "L = 1.0 # default length of the spring\n",
    "m = 1 # mass of the particle\n",
    "d = 0.5 # initial displacement from initial position\n",
    "t = 0.0 # time\n",
    "v = 0.0 # initial velocity\n",
    "p = m*v\n",
    "\n",
    "tlist = list()\n",
    "xlist = list()\n",
    "vlist = list()\n",
    "plist = list()\n",
    "\n",
    "particle_cnt = int(input(\"oscilator 입자의 개수: \"))\n",
    "\n",
    "for particle_num in range(particle_cnt):\n",
    "    xlist.append(list())\n",
    "    vlist.append(list())\n",
    "    plist.append(list())\n",
    "    \n",
    "tlist.append(t)\n",
    "first_particle_initial_position = L + d # particle_num(0 ~ 99) ,\n",
    "xlist[0].append(first_particle_initial_position)\n",
    "vlist[0].append(0)\n",
    "plist[0].append(0)\n",
    "    \n",
    "for particle_num in range(1,particle_cnt):\n",
    "    n_th_particle_initial_position = L * (particle_num + 1) # particle_num(0 ~ 99) ,\n",
    "    xlist[particle_num].append(n_th_particle_initial_position)\n",
    "    vlist[particle_num].append(0)\n",
    "    plist[particle_num].append(0)\n",
    "\n",
    "print(xlist,\"\\n\",vlist,\"\\n\",plist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dt = 0.1 #Time difference\n",
    "\n",
    "for time_loop in range(1000):\n",
    "    t = t + dt\n",
    "    tlist.append(t)\n",
    "    for particle_num in range(particle_cnt):\n",
    "        x_n = xlist[particle_num][-1] # n-th particle position\n",
    "        if len(xlist) < (particle_num + 1) : # determine last particle\n",
    "            x_next = xlist[particle_num + 1][-1] # (n+1)-th particle position\n",
    "        else:\n",
    "            x_next = (particle_cnt + 1) * L # last particle connected in wall that position is ((particle_cnt + 1) * L)\n",
    "        if particle_num > 0 : # determine first particle\n",
    "            x_prev = xlist[particle_num - 1][-1] # (n-1)-th particle position\n",
    "        else:\n",
    "            x_prev = 0 # first particle connected in wall that position is 0\n",
    "        \n",
    "        a = k * (x_next + x_prev - (2 * x_n))/m #F = -k(L-(x_n+1 - x_n)) + k(L - (x_n - x_n-1))\n",
    "        v = v + a * dt\n",
    "        p = m * v\n",
    "        x = x_n + v * dt\n",
    "             \n",
    "        xlist[particle_num].append(x)\n",
    "        vlist[particle_num].append(v)\n",
    "        plist[particle_num].append(p)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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-3.480224049708663, -4.803112584837144, -6.104654992943103, -7.37690318631951, -8.612040076894282, -9.802427328308005, -10.94065230439634, -12.019573927188308, -13.032367162459188, -13.972565857527828, -14.8341036643326, -15.611352790817483, -16.299160335259064, -16.892881971305968, -17.388412766114154, -17.782214929965015, -18.071342313060132, -18.253461483700033, -18.326869241670032, -18.29050644126236, -18.1439680198422, -17.887509150091745, -17.52204745691103, -17.049161263284372, -16.471083853097838, -15.790693762776858, -15.011501137561234, -14.137630212103186, -13.1737979987197, -12.125289289908826, -10.997928104509548, -9.798045729005764, -8.532445526810891, -7.208364708787095, -5.833433277624848, -4.415630376911356, -2.9632382926348493, -1.4847943703963355, 0.010958874369900506, 1.515125163423885, 3.018707079482284, 4.512659597177862, 5.987944204464297, 7.435583292364239, 8.846714487514662, 10.212644600457843, 11.524902863078756, 12.775293131008622, 13.95594473119658, 15.0593616411816, 16.07846969484795, 17.006661519580955, 17.837838921705366, 18.566452450824546, 19.187537889112846, 19.69674942866212, 20.090389318553704, 20.365433783315744, 20.519555035720774, 20.55113922935894, 20.45930021996017, 20.243889028897847, 19.905498927546095, 19.445466087034156, 18.86586576429392]]\n"
     ]
    }
   ],
   "source": [
    "print(tlist)\n",
    "print(xlist)\n",
    "print(vlist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": [
    "for i in range(particle_cnt):\n",
    "    plt.plot(tlist, xlist[i], '-')\n",
    "plt.show()\n",
    "\n",
    "for i in range(particle_cnt):\n",
    "    plt.plot(tlist, vlist[i], '-')\n",
    "plt.show()\n",
    "\n",
    "for i in range(particle_cnt):\n",
    "    plt.plot(tlist, plist[i], '-')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "authorship_tag": "ABX9TyNH5/8p8U3mw2r7Xu7+AnVn",
   "include_colab_link": true,
   "name": "01.01.python-basics.ipynb",
   "provenance": []
  },
  "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}