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Phase switch Monte Carlo - Revision history
2026-04-30T22:46:32Z
Revision history for this page on the wiki
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2009-03-23T12:54:42Z
<p>Slight 'wikify'.</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:54, 23 March 2009</td>
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<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>Phase <del style="font-weight: bold; text-decoration: none;">Switch </del>Monte Carlo is a general simulation approach for sampling the disjoint configuration spaces associated with coexisting phases within a single simulation. The method employs biased sampling techniques to enhance the probabilities of gateway states (in each phase) which are such that a global switch to the other phase can be implemented. Equilibrium coexistence parameters can be determined directly; statistical uncertainties prescribed transparently; and finite-size effects quantified systematically. The method is particular useful in cases where one or both of the coexisting phases is a solid. </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;">'''</ins>Phase <ins style="font-weight: bold; text-decoration: none;">switch </ins>Monte Carlo<ins style="font-weight: bold; text-decoration: none;">''' </ins>is a general <ins style="font-weight: bold; text-decoration: none;">[[Computer simulation techniques |</ins>simulation approach<ins style="font-weight: bold; text-decoration: none;">]] </ins>for sampling the disjoint configuration spaces associated with coexisting phases within a single simulation. The method employs biased sampling techniques to enhance the probabilities of gateway states (in each phase) which are such that a global switch to the other phase can be implemented. Equilibrium coexistence parameters can be determined directly; statistical uncertainties prescribed transparently; and finite-size effects quantified systematically. The method is particular useful in cases where one or both of the coexisting phases is a solid. </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;"><br></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;"><br></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>
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Nice and Tidy
http://www.sklogwiki.org/SklogWiki/index.php?title=Phase_switch_Monte_Carlo&diff=7996&oldid=prev
138.38.137.154 at 11:35, 23 March 2009
2009-03-23T11:35:22Z
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<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/10.1063/1.1632147 Nigel B. Wilding "Phase Switch Monte Carlo", AIP Conference Proceedings '''690''' pp. 349-355 (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/10.1063/1.1632147 Nigel B. Wilding "Phase Switch Monte Carlo", AIP Conference Proceedings '''690''' pp. 349-355 (2003)]</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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (2003)]</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>#[http://dx.doi.org/ 10.1063/1.2166395 G.C. McNeil-Watson and N.B. Wilding "Freezing line of the Lennard-Jones fluid: a Phase Switch Monte Carlo Study", Journal of Chemical Physics '''124''', 064504 (2006).]</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>#[http://dx.doi.org/10.1063/1.2166395 G.C. McNeil-Watson and N.B. Wilding "Freezing line of the Lennard-Jones fluid: a Phase Switch Monte Carlo Study", Journal of Chemical Physics '''124''', 064504 (2006).]</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>[[category: Monte Carlo]]</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>[[category: Monte Carlo]]</div></td></tr>
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138.38.137.154
http://www.sklogwiki.org/SklogWiki/index.php?title=Phase_switch_Monte_Carlo&diff=7995&oldid=prev
138.38.137.154 at 11:34, 23 March 2009
2009-03-23T11:34:34Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:34, 23 March 2009</td>
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<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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (2003)]</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> </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;">#[http://dx.doi.org/ 10.1063/1.2166395 G.C. McNeil-Watson and N.B. Wilding "Freezing line of the Lennard-Jones fluid: a Phase Switch Monte Carlo Study", Journal of Chemical Physics '''124''', 064504 (2006).]</ins></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>[[category: Monte Carlo]]</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>[[category: Monte Carlo]]</div></td></tr>
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138.38.137.154
http://www.sklogwiki.org/SklogWiki/index.php?title=Phase_switch_Monte_Carlo&diff=7994&oldid=prev
138.38.137.154 at 11:30, 23 March 2009
2009-03-23T11:30:25Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:30, 23 March 2009</td>
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<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;">{{stub-general}}</del></div></td><td colspan="2" class="diff-side-added"></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>Phase Switch Monte Carlo is a general simulation approach for sampling the disjoint configuration spaces associated with coexisting phases within a single simulation. The method employs biased sampling techniques to enhance the probabilities of gateway states (in each phase) which are such that a global switch to the other phase can be implemented. Equilibrium coexistence parameters can be determined directly; statistical uncertainties prescribed transparently; and finite-size effects quantified systematically. The method is particular useful in cases where one or both of the coexisting phases is a solid. </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>Phase Switch Monte Carlo is a general simulation approach for sampling the disjoint configuration spaces associated with coexisting phases within a single simulation. The method employs biased sampling techniques to enhance the probabilities of gateway states (in each phase) which are such that a global switch to the other phase can be implemented. Equilibrium coexistence parameters can be determined directly; statistical uncertainties prescribed transparently; and finite-size effects quantified systematically. The method is particular useful in cases where one or both of the coexisting phases is a solid. </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;"><br></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;"><br></td></tr>
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<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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (2003)]</div></td></tr>
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138.38.137.154
http://www.sklogwiki.org/SklogWiki/index.php?title=Phase_switch_Monte_Carlo&diff=7993&oldid=prev
138.38.137.154: /* References */
2009-03-23T11:26:02Z
<p><span dir="auto"><span class="autocomment">References</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:26, 23 March 2009</td>
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<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;">Phase Switch Monte Carlo is a general simulation approach for sampling the disjoint configuration spaces associated with coexisting phases within a single simulation. The method employs biased sampling techniques to enhance the probabilities of gateway states (in each phase) which are such that a global switch to the other phase can be implemented. Equilibrium coexistence parameters can be determined directly; statistical uncertainties prescribed transparently; and finite-size effects quantified systematically. The method is particular useful in cases where one or both of the coexisting phases is a solid. </ins></div></td></tr>
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<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/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Carlo Method", Physical Review Letters '''79''' pp. 3002-3005 (1997)]</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/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Carlo Method", Physical Review Letters '''79''' pp. 3002-3005 (1997)]</div></td></tr>
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138.38.137.154
http://www.sklogwiki.org/SklogWiki/index.php?title=Phase_switch_Monte_Carlo&diff=7981&oldid=prev
Nice and Tidy: /* References */ Added a reference.
2009-03-13T15:51:31Z
<p><span dir="auto"><span class="autocomment">References: </span> Added a reference.</span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:51, 13 March 2009</td>
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<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/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Carlo Method", Physical Review Letters '''79''' pp. 3002-3005 (1997)]</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/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Carlo Method", Physical Review Letters '''79''' pp. 3002-3005 (1997)]</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;">#[http://dx.doi.org/10.1103/PhysRevLett.85.5138 N. B. Wilding and A. D. Bruce "Freezing by Monte Carlo Phase Switch", Physical Review Letters '''85''' pp. 5138-5141 (2000)]</ins></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/10.1063/1.1632147 Nigel B. Wilding "Phase Switch Monte Carlo", AIP Conference Proceedings '''690''' pp. 349-355 (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/10.1063/1.1632147 Nigel B. Wilding "Phase Switch Monte Carlo", AIP Conference Proceedings '''690''' pp. 349-355 (2003)]</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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (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/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (2003)]</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>[[category: Monte Carlo]]</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>[[category: Monte Carlo]]</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>[[category: computer simulation techniques]]</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>[[category: computer simulation techniques]]</div></td></tr>
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Nice and Tidy
http://www.sklogwiki.org/SklogWiki/index.php?title=Phase_switch_Monte_Carlo&diff=7003&oldid=prev
Carl McBride: New page: {{stub-general}} ==References== #[http://dx.doi.org/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Car...
2008-08-04T09:55:53Z
<p>New page: {{stub-general}} ==References== #[http://dx.doi.org/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Car...</p>
<p><b>New page</b></p><div>{{stub-general}}<br />
==References==<br />
#[http://dx.doi.org/10.1103/PhysRevLett.79.3002 A. D. Bruce, N. B. Wilding, and G. J. Ackland "Free Energy of Crystalline Solids: A Lattice-Switch Monte Carlo Method", Physical Review Letters '''79''' pp. 3002-3005 (1997)]<br />
#[http://dx.doi.org/10.1063/1.1632147 Nigel B. Wilding "Phase Switch Monte Carlo", AIP Conference Proceedings '''690''' pp. 349-355 (2003)]<br />
#[http://dx.doi.org/10.1002/0471466603.ch1 Alastair D. Bruce and Nigel B. Wilding "Computational Strategies for Mapping Equilibrium Phase Diagrams", Advances in Chemical Physics '''127''' pp. 1-64 (2003)]<br />
[[category: Monte Carlo]]<br />
[[category: computer simulation techniques]]</div>
Carl McBride