Wiketomica - Recent changes [en]

Wiketomica - Recent changes [en] http://rheneas.eng.buffalo.edu/wiki/Special:RecentChanges Track the most recent changes to the wiki in this feed. en MediaWiki 1.15.1 Sun, 22 Nov 2009 03:06:01 GMT Modules http://rheneas.eng.buffalo.edu/w/index.php?title=Modules&diff=3949&oldid=prev <p>Changed DMD Main Image</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 18:12, 19 November 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 39:</td> <td colspan="2" class="diff-lineno">Line 39:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>|-</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>|-</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| width="10%" style="border-bottom:3px solid #943154;"|[[DMD|'''Discontinuous Molecular Dynamics''']]</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| width="10%" style="border-bottom:3px solid #943154;"|[[DMD|'''Discontinuous Molecular Dynamics''']]</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>| width="20%" style="border-bottom:3px solid #943154;"|[[Image:<del class="diffchange diffchange-inline">dmd_thumb</del>.jpg|link=DMD]]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>| width="20%" style="border-bottom:3px solid #943154;"|[[Image:<ins class="diffchange diffchange-inline">DMD_Model_Eq_3</ins>.jpg|link=DMD]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| width="70%" style="border-bottom:3px solid #943154;"| An integrated tutorial on pressure, temperature, density, and model equations through the piston/cylinder module combined with 2D and 3D simulations using periodic boundary conditions.  The simulations are based on the square well potential, which characterizes the fundamental repulsions and attractions in a discontinuous but simple manner.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| width="70%" style="border-bottom:3px solid #943154;"| An integrated tutorial on pressure, temperature, density, and model equations through the piston/cylinder module combined with 2D and 3D simulations using periodic boundary conditions.  The simulations are based on the square well potential, which characterizes the fundamental repulsions and attractions in a discontinuous but simple manner.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>|-</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>|-</div></td></tr>  </table> Thu, 19 Nov 2009 18:12:14 GMT Msellers http://rheneas.eng.buffalo.edu/wiki/Talk:Modules LennardJones:Background:Lennard Jones Velocity Distribution http://rheneas.eng.buffalo.edu/w/index.php?title=LennardJones:Background:Lennard_Jones_Velocity_Distribution&diff=3948&oldid=prev <p>Removed extra <math> tags on "It is a postulate of thermodynamics that..."</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 12:54, 18 November 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 11:</td> <td colspan="2" class="diff-lineno">Line 11:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>p(E) = \Omega (E) \exp \left (-E_i / kT \right ) / Q</math><br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>p(E) = \Omega (E) \exp \left (-E_i / kT \right ) / Q</math><br><br></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>It is a postulate of thermodynamics that <del class="diffchange diffchange-inline"><math></del><math>\Omega(E)<del class="diffchange diffchange-inline"></math></del></math> is a monotonically increasing function of ''E'', while of course the Boltzmann distribution decreases with increasing ''E''.  Thus the product of these two functions, ''p''(''E''), exhibits a maximum, moving to larger values of ''E'' with increasing temperature.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>It is a postulate of thermodynamics that <math>\Omega(E)</math> is a monotonically increasing function of ''E'', while of course the Boltzmann distribution decreases with increasing ''E''.  Thus the product of these two functions, ''p''(''E''), exhibits a maximum, moving to larger values of ''E'' with increasing temperature.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>There is a type of equilibrium between the kinetic and potential forms of the energy, in the same sense that the entire system is in equilibrium with an external bath that maintains the fixed temperature. Thus the Boltzmann distribution can be applied separately to the kinetic and potential energies. Because the kinetic energy depends only on the atomic velocities, the Boltzmann distribution can be applied to develop an expression for the distribution of velocities in the system.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>There is a type of equilibrium between the kinetic and potential forms of the energy, in the same sense that the entire system is in equilibrium with an external bath that maintains the fixed temperature. Thus the Boltzmann distribution can be applied separately to the kinetic and potential energies. Because the kinetic energy depends only on the atomic velocities, the Boltzmann distribution can be applied to develop an expression for the distribution of velocities in the system.</div></td></tr>  </table> Wed, 18 Nov 2009 12:54:09 GMT Msellers http://rheneas.eng.buffalo.edu/wiki/Talk:LennardJones:Background:Lennard_Jones_Velocity_Distribution