{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d9f98828",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "h = np.linspace(0, 30, 200)  # altitude em km\n",
    "I = np.exp(-h / 8)           # atenuação exponencial\n",
    "plt.plot(h, I)\n",
    "plt.xlabel('Altitude (km)')\n",
    "plt.ylabel('Intensidade (rel.)')\n",
    "plt.title('Intensidade de Raios Cósmicos vs Altitude')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "60d4c2ac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parâmetros da simulação\n",
    "N = 100000  # número de múons simulados\n",
    "thickness_cm = 2.5\n",
    "density = 1.02  # g/cm3 (plástico)\n",
    "X = thickness_cm * density  # espessura mássica (g/cm2)\n",
    "\n",
    "# Perda média de energia (estimada)\n",
    "mean_loss = 2.0 * X  # MeV\n",
    "sigma = 0.2 * mean_loss  # desvio padrão (flutuação estatística)\n",
    "\n",
    "# Simulação com distribuição gaussiana\n",
    "dE = np.random.normal(loc=mean_loss, scale=sigma, size=N)\n",
    "\n",
    "# Remover valores negativos que não fazem sentido fisicamente\n",
    "dE = dE[dE > 0]\n",
    "\n",
    "# Gráfico\n",
    "plt.hist(dE, bins=100, density=True, alpha=0.7, color='skyblue', edgecolor='black')\n",
    "plt.xlabel('Perda de energia (MeV)')\n",
    "plt.ylabel('Densidade de probabilidade')\n",
    "plt.title('Simulação da perda de energia de múons (distribuição Gaussiana)')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f7580cd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Definição da faixa de energia (10^9 a 10^20 eV)\n",
    "E = np.logspace(9, 20, 500)  # energia em eV\n",
    "gamma = -2.7\n",
    "k = 1e20  # constante de normalização arbitrária\n",
    "\n",
    "# Espectro de energia com lei de potência\n",
    "phi = k * E**gamma\n",
    "\n",
    "# Gráfico log-log\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.loglog(E, phi, label=r'$\\Phi(E) = k \\cdot E^{-2.7}$', color='blue')\n",
    "plt.xlabel('Energia (eV)')\n",
    "plt.ylabel(r'Fluxo $\\Phi(E)$ (unidades arbitrárias)')\n",
    "plt.title('Espectro de Energia com Lei de Potência ($gamma = -2.7$)')\n",
    "plt.grid(True, which='both', linestyle='--', linewidth=0.5)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d1687b73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "X = np.linspace(0, 1030, 200)  # profundidade em g/cm²\n",
    "lambda_muon = 120  # comprimento de atenuação típico para múons\n",
    "\n",
    "N0 = 1.0  # número inicial (normalizado)\n",
    "N = N0 * np.exp(-X / lambda_muon)\n",
    "\n",
    "plt.plot(X, N, label='N(X) = N0 * exp(-X/λ)')\n",
    "plt.xlabel('Profundidade Atmosférica (g/cm²)')\n",
    "plt.ylabel('Fração de múons sobreviventes')\n",
    "plt.title('Atenuação de Múons na Atmosfera')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "dfa076ee-4d87-41eb-bca1-96d5f16b6c08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Energia: 10^9 a 10^20 eV\n",
    "E = np.logspace(9, 20, 500)\n",
    "\n",
    "# Indices espectrais\n",
    "gammas = [2.5, 2.7, 3.0, 3.3]\n",
    "\n",
    "# Constante de normalizacao arbitraria\n",
    "k = 1.0\n",
    "\n",
    "plt.figure(figsize=(9, 6))\n",
    "\n",
    "for gamma in gammas:\n",
    "    phi = k * E**(-gamma)\n",
    "\n",
    "    plt.loglog(\n",
    "        E,\n",
    "        phi,\n",
    "        label=rf'$\\gamma={gamma}$'\n",
    "    )\n",
    "\n",
    "plt.xlabel(r'Energia $E$ [eV]')\n",
    "plt.ylabel(r'Fluxo $\\Phi(E)$ [u.a.]')\n",
    "plt.title('Espectro de Raios Cosmicos')\n",
    "\n",
    "plt.grid(\n",
    "    True,\n",
    "    which='both',\n",
    "    linestyle='--',\n",
    "    alpha=0.5\n",
    ")\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "573106e5-fc54-4570-8e72-7da8cc3a5a95",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1eadf4b3-7a86-4b0d-bf87-314716d057a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\t\n",
    "# Parametros do modelo\n",
    "N0 = 1.0e6                 # numero inicial de muons\n",
    "X0 = 60.0                  # profundidade inicial (g/cm^2)\n",
    "X_atm = 1030.0             # profundidade ao nivel do mar (g/cm^2)\n",
    "lambda_atenuacao = 120.0   # parametro ilustrativo (g/cm^2)\n",
    "\t\n",
    "# Intervalo de profundidade atmosferica\n",
    "X = np.linspace(X0, X_atm, 300)\n",
    "\n",
    "# Lei de atenuacao exponencial\n",
    "N = N0 * np.exp(-(X - X0) / lambda_atenuacao)\n",
    "\t\n",
    "# Fracao de particulas sobreviventes\n",
    "fracao = N / N0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "775c33e6-f0d0-4f7e-a022-b8ffa0657ef7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "\t\n",
    "plt.plot(X, fracao, color=\"darkblue\",\n",
    "linewidth=2,\n",
    "label=\"Modelo exponencial\")\n",
    "\t\n",
    "plt.xlabel(\"Profundidade atmosférica (g/cm^2)\")\n",
    "plt.ylabel(\"Fração de partículas sobreviventes\")\n",
    "plt.title(\"Atenuação de múons na atmosfera\")\n",
    "\t\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c40e322c-be37-4083-82c7-d4a902f480bd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Numero inicial de muons: 1000000\n",
      "Numero estimado ao nivel do mar: 308.64\n",
      "Fracao sobrevivente: 3.086405e-04\n",
      "Porcentagem sobrevivente: 0.030864%\n"
     ]
    }
   ],
   "source": [
    "N_solo = N0 * np.exp(-(X_atm - X0) / lambda_atenuacao)\n",
    "fracao_solo = N_solo / N0\n",
    "print(f\"Numero inicial de muons: {N0:.0f}\")\n",
    "print(f\"Numero estimado ao nivel do mar: {N_solo:.2f}\")\n",
    "print(f\"Fracao sobrevivente: {fracao_solo:.6e}\")\n",
    "print(f\"Porcentagem sobrevivente: {100*fracao_solo:.6f}%\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4ea11e5b-b85c-418c-967c-54c94db7ee52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "valores_lambda = [80.0, 120.0, 200.0]\n",
    "plt.figure(figsize=(8, 5))\n",
    "for lam in valores_lambda:\n",
    "\tfracao = np.exp(-(X - X0) / lam)\t\n",
    "\tplt.plot(\n",
    "\t\tX,\n",
    "\t\tfracao,\n",
    "\t\tlinewidth=2,\n",
    "\t\tlabel=fr\"$\\lambda = {lam:.0f}$ g/cm$^2$\"\n",
    "\t)\t\n",
    "plt.xlabel(\"Profundidade atmosférica (g/cm^2)\")\n",
    "plt.ylabel(\"Fração de partículas sobreviventes\")\n",
    "plt.title(\"Influência do parâmetro de atenuação\")\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "48e1b147-3d55-42bd-b48b-0ff657f929f2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
