File:FD e mu.svg
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Summary
Fermi-Dirac distribution for 4 different temperatures.
Created using <a href="https://en.wikipedia.org/wiki/python_(Programming_language)" class="extiw" title="w:python (Programming language)">python</a>
<span class="kn">from</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist</span> <span class="kn">import</span> <span class="o">*</span>
<span class="n">kT</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">t</span><span class="p">:</span> <span class="mf">1.</span><span class="o">/</span><span class="n">t</span>
<span class="n">ni</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">x</span><span class="p">,</span> <span class="n">t</span><span class="p">:</span> <span class="mf">1.</span> <span class="o">/</span> <span class="p">(</span> <span class="n">exp</span><span class="p">((</span><span class="n">x</span><span class="o">-</span><span class="mf">1.</span><span class="p">)</span><span class="o">/</span><span class="n">kT</span><span class="p">(</span><span class="n">t</span><span class="p">))</span> <span class="o">+</span> <span class="mf">1.</span> <span class="p">)</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">Subplot</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span><span class="s2">"111"</span><span class="p">,</span><span class="n">axisbg</span><span class="o">=</span><span class="s1">'none'</span><span class="p">)</span>
<span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">ax</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"right"</span><span class="p">]</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"top"</span><span class="p">]</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">100</span><span class="p">),</span><span class="s1">'c'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu/100$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">10</span><span class="p">),</span><span class="s1">'b'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu/10$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">2</span><span class="p">),</span><span class="s1">'r'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu/2$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">1</span><span class="p">),</span><span class="s1">'y'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_ylabel</span><span class="p">(</span><span class="s1">r'$\bar{n}$'</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">15</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_xlabel</span><span class="p">(</span><span class="s1">r'$\epsilon/\mu$'</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_yticks</span><span class="p">(</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mf">1.2</span><span class="p">,</span><span class="o">.</span><span class="mi">2</span><span class="p">))</span>
<span class="n">ax</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="bp">True</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">minorticks_on</span><span class="p">()</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">5</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="o">-.</span><span class="mi">1</span><span class="p">,</span><span class="mf">1.1</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">frameon</span><span class="o">=</span><span class="bp">False</span><span class="p">,</span> <span class="n">handletextpad</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span><span class="n">loc</span><span class="o">=</span><span class="s1">'upper right'</span><span class="p">,</span>\
<span class="n">labelspacing</span><span class="o">=.</span><span class="mo">05</span><span class="p">)</span>
<span class="n">setp</span><span class="p">(</span><span class="n">ax</span><span class="o">.</span><span class="n">get_legend</span><span class="p">()</span><span class="o">.</span><span class="n">get_texts</span><span class="p">(),</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">)</span>
<span class="n">fig</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s2">"FD_e_mu.svg"</span><span class="p">,</span><span class="n">bbox_inches</span><span class="o">=</span><span class="s2">"tight"</span><span class="p">,</span>\
<span class="n">pad_inches</span><span class="o">=.</span><span class="mi">15</span><span class="p">)</span>
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:20, 13 January 2017 | | 354 × 353 (62 KB) | 127.0.0.1 (talk) | Fermi-Dirac distribution for 4 different temperatures. <p>Created using <a href="https://en.wikipedia.org/wiki/python_(Programming_language)" class="extiw" title="w:python (Programming language)">python</a> </p> <div class="mw-highlight mw-content-ltr" dir="ltr"><pre><span class="kn">from</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">import</span> <span class="o">*</span> <span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="o">*</span> <span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist</span> <span class="kn">import</span> <span class="o">*</span> <span class="n">kT</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">t</span><span class="p">:</span> <span class="mf">1.</span><span class="o">/</span><span class="n">t</span> <span class="n">ni</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">x</span><span class="p">,</span> <span class="n">t</span><span class="p">:</span> <span class="mf">1.</span> <span class="o">/</span> <span class="p">(</span> <span class="n">exp</span><span class="p">((</span><span class="n">x</span><span class="o">-</span><span class="mf">1.</span><span class="p">)</span><span class="o">/</span><span class="n">kT</span><span class="p">(</span><span class="n">t</span><span class="p">))</span> <span class="o">+</span> <span class="mf">1.</span> <span class="p">)</span> <span class="n">x</span> <span class="o">=</span> <span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span> <span class="n">fig</span> <span class="o">=</span> <span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">Subplot</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span><span class="s2">"111"</span><span class="p">,</span><span class="n">axisbg</span><span class="o">=</span><span class="s1">'none'</span><span class="p">)</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">ax</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"right"</span><span class="p">]</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"top"</span><span class="p">]</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">100</span><span class="p">),</span><span class="s1">'c'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu/100$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">10</span><span class="p">),</span><span class="s1">'b'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu/10$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">2</span><span class="p">),</span><span class="s1">'r'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu/2$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">ni</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">1</span><span class="p">),</span><span class="s1">'y'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">r'$kT=\mu$'</span><span class="p">,</span><span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_ylabel</span><span class="p">(</span><span class="s1">r'$\bar{n}$'</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">15</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_xlabel</span><span class="p">(</span><span class="s1">r'$\epsilon/\mu$'</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_yticks</span><span class="p">(</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mf">1.2</span><span class="p">,</span><span class="o">.</span><span class="mi">2</span><span class="p">))</span> <span class="n">ax</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="bp">True</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">minorticks_on</span><span class="p">()</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">5</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="o">-.</span><span class="mi">1</span><span class="p">,</span><span class="mf">1.1</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">frameon</span><span class="o">=</span><span class="bp">False</span><span class="p">,</span> <span class="n">handletextpad</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span><span class="n">loc</span><span class="o">=</span><span class="s1">'upper right'</span><span class="p">,</span>\ <span class="n">labelspacing</span><span class="o">=.</span><span class="mo">05</span><span class="p">)</span> <span class="n">setp</span><span class="p">(</span><span class="n">ax</span><span class="o">.</span><span class="n">get_legend</span><span class="p">()</span><span class="o">.</span><span class="n">get_texts</span><span class="p">(),</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">)</span> <span class="n">fig</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s2">"FD_e_mu.svg"</span><span class="p">,</span><span class="n">bbox_inches</span><span class="o">=</span><span class="s2">"tight"</span><span class="p">,</span>\ <span class="n">pad_inches</span><span class="o">=.</span><span class="mi">15</span><span class="p">)</span> </pre></div> |
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