http://www.sklogwiki.org/SklogWiki/index.php?action=history&feed=atom&title=RSOZ_for_polydisperse_systems RSOZ for polydisperse systems - Revision history 2026-04-08T02:13:41Z Revision history for this page on the wiki MediaWiki 1.41.0 http://www.sklogwiki.org/SklogWiki/index.php?title=RSOZ_for_polydisperse_systems&diff=3267&oldid=prev Nice and Tidy: Redirecting to RSOZ#Polydisperse systems 2007-07-10T15:40:42Z <p>Redirecting to <a href="/SklogWiki/index.php/RSOZ#Polydisperse_systems" title="RSOZ">RSOZ#Polydisperse systems</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:40, 10 July 2007</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">For a polydisperse fluid, composed of &lt;math&gt;n_f&lt;/math&gt; components, in a polydisperse matrix,</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>#<ins style="font-weight: bold; text-decoration: none;">REDIRECT </ins>[[<ins style="font-weight: bold; text-decoration: none;">RSOZ#Polydisperse systems</ins>]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">composed of &lt;math&gt;n_m&lt;/math&gt; components, written in matrix form in Fourier space (see Eq. 18 of Ref. 1):</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">:&lt;math&gt;\tilde H_{mm} = \tilde C_{mm} + \rho_m \tilde C_{mm} \tilde H_{mm}&lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">:&lt;math&gt;\tilde H_{fm} = \tilde C_{fm} + \rho_m \tilde C_{mm} \tilde H_{fm} + \rho_f  \tilde C_{fm}  \tilde H_{ff} - \rho_f \tilde C_{12}    \tilde H_{fm} &lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">:&lt;math&gt;\tilde H_{ff} = \tilde C_{ff} + \rho_m \tilde C_{fm}^T \tilde H_{fm} + \rho_f  \tilde C_{ff}  \tilde H_{ff} - \rho_f \tilde C_{12}  \tilde H_{12}&lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">:&lt;math&gt;\tilde H_{12} = \tilde C_{12} + \rho_m \tilde C_{fm}^T \tilde H_{fm} + \rho_f  \tilde C_{ff}  \tilde H_{12} + </del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"> \rho_f  \tilde C_{12}  \tilde H_{ff} -2 \rho_f \tilde C_{12}  \tilde H_{12}&lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Note: &lt;math&gt;c_{fm} = c_{mf}^T&lt;/math&gt; and &lt;math&gt;h_{fm} = h_{mf}^T&lt;/math&gt;.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">(PD. I am not sure about the equation &lt;math&gt;\tilde H_{fm}&lt;/math&gt; )</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">==References==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>#[<del style="font-weight: bold; text-decoration: none;">http://dx.doi.org/10.1080/0026897031000085128 S. Jorge;  Elisabeth Schöll-Paschinger;  Gerhard Kahl; María-José Fernaud "Structure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix", Molecular Physics '''101''' pp. 1733-1740 (2003)]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[<del style="font-weight: bold; text-decoration: none;">[Category: Integral equations</del>]]</div></td><td colspan="2" class="diff-side-added"></td></tr> </table> Nice and Tidy http://www.sklogwiki.org/SklogWiki/index.php?title=RSOZ_for_polydisperse_systems&diff=907&oldid=prev Nice and Tidy at 15:02, 27 February 2007 2007-02-27T15:02:31Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:02, 27 February 2007</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l21">Line 21:</td> <td colspan="2" class="diff-lineno">Line 21:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1080/0026897031000085128 S. Jorge;  Elisabeth Schöll-Paschinger;  Gerhard Kahl; María-José Fernaud &quot;Structure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix&quot;, Molecular Physics &#039;&#039;&#039;101&#039;&#039;&#039; pp. 1733-1740 (2003)]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1080/0026897031000085128 S. Jorge;  Elisabeth Schöll-Paschinger;  Gerhard Kahl; María-José Fernaud &quot;Structure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix&quot;, Molecular Physics &#039;&#039;&#039;101&#039;&#039;&#039; pp. 1733-1740 (2003)]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category: Integral equations]]</ins></div></td></tr> </table> Nice and Tidy http://www.sklogwiki.org/SklogWiki/index.php?title=RSOZ_for_polydisperse_systems&diff=284&oldid=prev Carl McBride: New page: For a polydisperse fluid, composed of <math>n_f</math> components, in a polydisperse matrix, composed of <math>n_m</math> components, written in matrix form in Fourier space (see Eq. 18 of... 2007-02-21T15:43:02Z <p>New page: For a polydisperse fluid, composed of &lt;math&gt;n_f&lt;/math&gt; components, in a polydisperse matrix, composed of &lt;math&gt;n_m&lt;/math&gt; components, written in matrix form in Fourier space (see Eq. 18 of...</p> <p><b>New page</b></p><div>For a polydisperse fluid, composed of &lt;math&gt;n_f&lt;/math&gt; components, in a polydisperse matrix,<br /> composed of &lt;math&gt;n_m&lt;/math&gt; components, written in matrix form in Fourier space (see Eq. 18 of Ref. 1):<br /> <br /> :&lt;math&gt;\tilde H_{mm} = \tilde C_{mm} + \rho_m \tilde C_{mm} \tilde H_{mm}&lt;/math&gt;<br /> <br /> <br /> :&lt;math&gt;\tilde H_{fm} = \tilde C_{fm} + \rho_m \tilde C_{mm} \tilde H_{fm} + \rho_f \tilde C_{fm} \tilde H_{ff} - \rho_f \tilde C_{12} \tilde H_{fm} &lt;/math&gt;<br /> <br /> <br /> :&lt;math&gt;\tilde H_{ff} = \tilde C_{ff} + \rho_m \tilde C_{fm}^T \tilde H_{fm} + \rho_f \tilde C_{ff} \tilde H_{ff} - \rho_f \tilde C_{12} \tilde H_{12}&lt;/math&gt;<br /> <br /> <br /> :&lt;math&gt;\tilde H_{12} = \tilde C_{12} + \rho_m \tilde C_{fm}^T \tilde H_{fm} + \rho_f \tilde C_{ff} \tilde H_{12} + <br /> \rho_f \tilde C_{12} \tilde H_{ff} -2 \rho_f \tilde C_{12} \tilde H_{12}&lt;/math&gt;<br /> <br /> <br /> Note: &lt;math&gt;c_{fm} = c_{mf}^T&lt;/math&gt; and &lt;math&gt;h_{fm} = h_{mf}^T&lt;/math&gt;.<br /> <br /> (PD. I am not sure about the equation &lt;math&gt;\tilde H_{fm}&lt;/math&gt; )<br /> <br /> ==References==<br /> #[http://dx.doi.org/10.1080/0026897031000085128 S. Jorge; Elisabeth Schöll-Paschinger; Gerhard Kahl; María-José Fernaud &quot;Structure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix&quot;, Molecular Physics &#039;&#039;&#039;101&#039;&#039;&#039; pp. 1733-1740 (2003)]</div> Carl McBride