http://www.sklogwiki.org/SklogWiki/index.php?action=history&feed=atom&title=Boltzmann_average 2026-04-27T19:06:43Z Revision history for this page on the wiki MediaWiki 1.41.0 http://www.sklogwiki.org/SklogWiki/index.php?title=Boltzmann_average&diff=6830&oldid=prev 2008-07-16T10:44:41Z

<p>a first save.</p> <p><b>New page</b></p><div>The &#039;&#039;&#039;Boltzmann average&#039;&#039;&#039; (sometimes known as the &#039;&#039;thermal average&#039;&#039;) for a given quantity or &#039;&#039;observable&#039;&#039;, let us say &lt;math&gt;A&lt;/math&gt;, is given by<br /> <br /> :&lt;math&gt;\langle A \rangle = \frac{\sum_i A_i \exp(-E_i/k_B T)}{\sum_i\exp(-E_i/k_B T)}&lt;/math&gt; <br /> <br /> where &lt;math&gt;k_B&lt;/math&gt; is the [[Boltzmann constant]], and &#039;&#039;T&#039;&#039; is the [[temperature]]. This provides the &#039;&#039;expected&#039;&#039; value of the property in question at a given temperature.<br /> ==See also==<br /> *[[Boltzmann distribution]]<br /> ==References==<br /> [[category: statistical mechanics]]</div>

Carl McBride