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    "<table style=\"width: 100%; border-style: none\">\n",
    "<tr style=\"border-style: none; background-color: #82a8cf\">\n",
    "<td style=\"border-style: none; width: 1%; text-align: left; font-size: 18px; color: #ffffff\">Institut f&uuml;r Theoretische Physik<br /> <font color=\"#e6e6e6\">Universit&auml;t zu K&ouml;ln </font></td>\n",
    "<td style=\"border-style: none; width: 1%; font-size: 16px\">&nbsp;</td>\n",
    "<td style=\"border-style: none; width: 1%; text-align: right; font-size: 18px; color: #ffffff\">Prof. Dr. Simon Trebst<br /> <font color=\"#e6e6e6\"> Christoph Berke </font> </td>\n",
    "</tr>\n",
    "</table>\n",
    "<hr  style=\"height: 2px; border-color: #606060; background-color: #606060\"> \n",
    "<h1 style=\"font-weight:200; text-align: center; margin: 0px; font-size: 48px; padding:0px; color: #606060\">Statistische Physik </h1>\n",
    "<h1 style=\"font-weight:light; text-align: center; margin: 10px; padding:0px; color: #606060\">&Uuml;bungsblatt 13</h1>\n",
    "<hr  style=\"height: 2px; border-color: #606060; background-color: #606060\"> \n",
    "<h3 style=\"font-weight:400; text-align: center; margin: 0px; font-size: 20px; padding:0px; margin-bottom: 20px; color: #606060\">Wintersemester 23/24</h3>\n",
    "\n",
    "\n",
    "<font size=\"4\" color=\"#606060\">**Website:** <a href=\"https://www.thp.uni-koeln.de/trebst/Lectures/2023-StatPhys.shtml\" style=\"color:#82a8cf; text-decoration: underline;text-decoration-style: dotted;\">https://www.thp.uni-koeln.de/trebst/Lectures/2023-StatPhys.shtml</a></font>\n",
    "\n",
    "<font size=\"4\" color=\"#606060\">**Abgabe**: <span style=\"color:#82a8cf\"> 22.01.2024, 10:00 Uhr </span> <span style=\"float:right;\">**Besprechung**: 23.01.2024 </span></font>\n",
    "\n",
    "<font size=\"4\" color=\"#606060\">**Name**: <span style=\"color:#82a8cf\"> Bitte geben Sie Ihren Namen an.  </span> </font>"
   ]
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  {
   "cell_type": "markdown",
   "id": "cf7cd093",
   "metadata": {},
   "source": [
    "<table style=\"border-style: none; width: 100%; background-color: #FFFFFF\"><tr style=\"border-style: none;\">\n",
    "<td style=\"border-style: none; width:3%; text-align: left; font-size: 25px; font-weight: 200;background-color: #FFFFFF\">Aufgabe 44: Idealer Paramagnet </td>\n",
    "<td style=\"border-style: none; width: 1%; text-align: right; font-size: 15px;background-color: #FFFFFF\">[11 Punkte]</td></tr></table> "
   ]
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"
    }
   },
   "cell_type": "markdown",
   "id": "7a34dff4",
   "metadata": {},
   "source": [
    "### f) Magnetisierung mit Monte-Carlo\n",
    "\n",
    "In diesem Aufgabenteil sollen Sie die analytischen Resultate für die Magnetisierung $M$ aus Teil c) numerisch überprüfen. Gleichzeitig können Sie sich mit den Programmteilen vertraut machen, die auf dem nächsten Aufgabenblatt zur Untersuchung des komplizierteren **Ferromagneten** benötigt werden.\n",
    "\n",
    "Hier betrachten wir aber wieder den wechselwirkungsfreien **Paramagneten** und führen zunächst eine alternative, weitverbreitete Notation für den Hamiltonoperator ein. Wir schreiben Gleichung (2) vom Aufgabenblatt als \n",
    "\n",
    "\\begin{equation}\n",
    "    H = -h \\sum_{\\alpha} \\sigma_\\alpha \\,.\n",
    "\\end{equation}\n",
    "\n",
    "Wir haben also den Spin $S_\\alpha$ mit Eigenwerten $\\pm\\frac{1}{2}$ durch $\\sigma_\\alpha =  \\pm 1$ ersetzt und alle übrigen Faktoren in dem effektiven Magnetfeld $h$ zusammengefasst.\n",
    "Die Summe läuft über alle Plätze $\\alpha$ eines Gitters. In dieser Aufgabe betrachten wir das unten gezeigte Quadratgitter, der Index $\\alpha$ bezeichnet also ein Tupel $\\alpha = (i,j)$, das einen Gitterplatz eindeutig festlegt. Natürlich spielt die Gittergeometrie für den wechselwirkungsfreien Paramagneten mit voneinander unabhängigen Spins keine Rolle. In der nächsten Woche ergänzen wir dann aber Wechselwirkungen zwischen Gitternachbarn und die Geometrie wird relevant.\n",
    "\n",
    "![isingparamagnet-2.png](attachment:isingparamagnet-2.png)\n",
    "\n",
    "Der Paramagnet soll jetzt mittels einer Monte-Carlo-Simulation untersucht werden. In der Computer-Physik haben Sie den Metropolis-Algorithmus kennengelernt, dessen Implementierung wir Ihnen vorgeben (siehe auch das 9. Programmier-Tutorium zur Computerphysik im vergangenen Sommersemester)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed446c76",
   "metadata": {},
   "source": [
    "### 1. Vorbereitung: Erzeugen und Darstellen von Spin-Konfigurationen\n",
    "\n",
    "Wir implementieren zunächst Funktionen, die einzelne Spins mit zufälliger Orientierung, sowie Spinkonfigurationen auf dem Quadratgitter erzeugen und darstellen. Führen Sie die nachfolgenden Zellen aus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c0a60b46",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Erzeuge zufälligen Spin ±1\n",
    "function get_Ising_spin()\n",
    "    # Prüfe ob Zufallszahl zwischen 0 und 1 größer als 0.5 ist.\n",
    "    if rand() > 0.5\n",
    "        return +1 # 50 %\n",
    "    else\n",
    "        return -1 # 50 %\n",
    "    end\n",
    "end\n",
    "\n",
    "# Erzeuge Lx×Ly-Array aus zufälligen Spins.\n",
    "function get_Ising_spins(Lx, Ly)\n",
    "    return [get_Ising_spin() for i in 1:Lx, j in 1:Ly]\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e675f485",
   "metadata": {},
   "outputs": [],
   "source": [
    "using CairoMakie\n",
    "\n",
    "# Stelle Spin-Array spins als Heatmap dar.\n",
    "function plot_Ising_spins(spins)\n",
    "    \n",
    "    fig = Figure()\n",
    "    ax = Axis(fig[1,1], aspect = DataAspect())\n",
    "    hmap = heatmap!(ax, spins, colormap =:binary, colorrange = (0,1))  \n",
    "    hidedecorations!(ax)\n",
    "\n",
    "    return fig, ax, hmap\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "89134779",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Beispiel:\n",
    "Lx, Ly = 100, 100\n",
    "f, a, hm = plot_Ising_spins(get_Ising_spins(Lx, Ly))\n",
    "f"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e89933b",
   "metadata": {},
   "source": [
    "### 2. Implementierung des Metropolis-Algorithmus\n",
    "\n",
    "Wir benötigen zwei Zutaten für den Metropolis-Algorithmus:\n",
    "1. Eine Update-Vorschrift, um von einer Konfiguration der Markov-Kette in die nächste überzugehen.\n",
    "2. Die Energiedifferenz $\\Delta E$ der Konfigurationen nach und vor diesem Update.\n",
    "\n",
    "Zur Erinnerung: Beim Metropolis-Algorithmus werden Update-Vorschläge immer akzeptiert wenn der neue Zustand energetisch günstiger ist ($\\Delta E < 0$) und mit Wahrscheinlichkeit $\\exp(-\\Delta E / T)$ akzeptiert, wenn der neue Zustand eine höhere Energie hat.\n",
    "\n",
    "Als einfachste Möglichkeit eines Updates betrachten wir das Flippen eines einzelnen Spins am Gitterplatz $\\beta$: $\\sigma_{\\beta}\\to \\sigma\\prime_\\beta= -\\sigma_\\beta$. Damit ist die Energiedifferenz\n",
    "\n",
    "\\begin{equation}\n",
    "    \\Delta E = E_\\text{nachher} - E_\\text{vorher} = -h \\left(\\sum_{\\alpha} \\sigma\\prime_\\alpha - \\sum_{\\alpha}  \\sigma_\\alpha \\right) = 2 h \\sigma_\\beta \\,.\n",
    "\\end{equation}\n",
    "\n",
    "Man beachte, dass zur Berechnung der Energiedifferenz die Gesamtenergie der Spin-Konfiguration nicht bekannt sein muss. \n",
    "\n",
    "Wir fassen hier $N$ Spin-Flip-Updatevorschläge eines System aus $N$ Spins zu einem sogenannten *Sweep* zusammen und messen die Magnetisierung immer nur nach einem ganzen Sweep."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f45ce24a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Single spin flip update.\n",
    "function update_SSF!(spins, h, T)\n",
    "    \n",
    "    # Update vorschlagen: Zufälligen Spin wählen.\n",
    "    i = rand(1:size(spins, 1))\n",
    "    j = rand(1:size(spins, 2))\n",
    "    \n",
    "    # Energiedifferenz berechnen.\n",
    "    dE = 2 * h * spins[i,j]\n",
    "    \n",
    "    # Akzeptiere Update immer wenn dE < 0 und \n",
    "    # mit Wahrscheinlichkeit exp(-dE / T) wenn dE > 0.\n",
    "    if rand() < exp(-dE / T)\n",
    "        spins[i,j] *= -1 # Spin flip\n",
    "        return\n",
    "    else\n",
    "        return # No spin flip\n",
    "    end\n",
    "end\n",
    "\n",
    "# Ein Sweep = Anzahl der Spins Update-Versuche.\n",
    "function sweep_SSF!(spins, h, T)\n",
    "    # Anzahl spins an Update vorschlagen\n",
    "    for u in 1:length(spins)\n",
    "        update_SSF!(spins, h, T)\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "33585ea9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Magnetisierung\n",
    "function get_magnetization(spins)\n",
    "    return sum(spins)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74183d7d",
   "metadata": {},
   "source": [
    "### 3. Testen der Implementierung\n",
    "\n",
    "In der nächsten Zelle wird eine Spin-Konfigurationen zunächst für 100 Sweeps thermalisiert (sodass der Gleichgewichtszustand erreicht wird) und anschließend die Magnetisierung nach jedem von 100 weiteren Sweeps gemessen. Die finale Konfiguration wird dargestellt. Führen Sie die Zelle aus und untersuchen Sie auch andere Werte von $\\frac{h}{T}$, insbesondere $\\frac{h}{T} \\ll 1$ und $\\frac{h}{T} \\gg 1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e65b6b69",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Magnetfeld und Temperatur.\n",
    "h, T = 0.8, 1\n",
    "\n",
    "# Anfangskonfiguration erzeugen (100 × 100 Spins).\n",
    "L = 200\n",
    "spins = get_Ising_spins(L, L)\n",
    "\n",
    "# Thermalisierung: 100 Sweeps durchführen\n",
    "for _ in 1:100\n",
    "    sweep_SSF!(spins, h, T)\n",
    "end\n",
    "\n",
    "# Messung der Magnetisierung: 100 weitere Sweeps\n",
    "m_vals = zeros(100) # Array für Magnetisierung pro Spin\n",
    "\n",
    "for i in 1:100\n",
    "    sweep_SSF!(spins, h, T)\n",
    "    m_vals[i] = get_magnetization(spins) / L^2\n",
    "end\n",
    "\n",
    "# Mittlere Magnetisierung pro Spin\n",
    "m_mean = sum(m_vals)/100\n",
    "\n",
    "# Darstellen der Endkonfiguration\n",
    "with_theme(theme_latexfonts()) do\n",
    "    f, a, hm = plot_Ising_spins(spins)\n",
    "    a.title = \"Mittlere Magnetisierung pro Spin: $(round(m_mean, digits = 4))\"\n",
    "    f\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb755b45",
   "metadata": {},
   "source": [
    "### 4. Magnetisierung $M$ als Funktion des Magnetfeldes $h$\n",
    "\n",
    "#### Jetzt sind Sie dran:\n",
    "Berechnen Sie für alle unten vorgegebenen Temperaturen $T$ die Magnetisierung pro Spin als Funktion der Feldstärke, also $M_T(h)$. Stellen Sie die entstehende Funktionenschar in einem gemeinsamen Plot dar. Ergänzen Sie in Ihrer Abbildung außerdem die analytischen Ergebnisse aus Aufgabenteil c). \n",
    "\n",
    "*Hinweise:*\n",
    "Betrachten Sie ein Quadratgitter aus $40 \\times 40$ Spins. Führen Sie für jede neue Parameterwahl zunächst $500$ Sweeps durch, um das System thermalisieren zu lassen und anschließend $500$ weitere Sweeps, nach denen jeweils die Magnetisierung gemessen wird. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d893dcd7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Temperaturen und Feldstärken.\n",
    "Ts = exp10.(range(-1,2,length = 10))\n",
    "hvals = range(-10.0, 10.0, length=31)"
   ]
  }
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