Dissociation of disclinations are used to model these phenomena in KTHNY theory. Above the upper critical dimension, these phenomena belong to the same universality class predicted by mean-field theory. An argument using the favorability of spontaneously forming domain walls was used by Rudolph Peierls (“PIE-erls”) to prove one of these phenomena exists in two dimensions or higher for a certain lattice model. Landau theory classifies these phenomena into first- or second-order based on whether the change in their order parameter is discontinuous. These phenomena include the shift between paramagnetic and ferromagnetic ordering at the Curie point. On pressure–temperature diagrams, these events are represented by crossing a coexistence curve. For 10 points, name these phenomena in which a material changes between different states of matter. ■END■
| Northern California | Main | Y | 5 | 100% | 0% | 0% | 67.60 |
| Southern California | Main | Y | 6 | 100% | 0% | 17% | 73.17 |
| Eastern Canada | Main | Y | 12 | 92% | 0% | 8% | 88.91 |
| Florida | Main | Y | 6 | 100% | 0% | 0% | 106.17 |
| Great Lakes | Main | Y | 7 | 86% | 0% | 57% | 110.33 |
| Lower Mid-Atlantic | Main | Y | 10 | 100% | 0% | 0% | 98.70 |
| Upper Mid-Atlantic (1) | Main | Y | 10 | 100% | 0% | 20% | 101.40 |
| Upper Mid-Atlantic (2) | Main | Y | 5 | 100% | 0% | 0% | 94.60 |
| Lower Midwest | Main | Y | 4 | 100% | 0% | 25% | 103.75 |
| Lower Midwest | Main | Y | 1 | 100% | 0% | 0% | 92.00 |
| Upper Midwest | Main | Y | 12 | 100% | 0% | 8% | 90.58 |
| North | Main | Y | 2 | 100% | 0% | 0% | 117.50 |
| Northeast | Main | Y | 12 | 100% | 0% | 0% | 90.75 |
| Northwest | Main | Y | 4 | 100% | 0% | 0% | 77.00 |
| South Central | Main | Y | 8 | 100% | 0% | 0% | 86.50 |
| Southeast | Main | Y | 8 | 100% | 0% | 13% | 87.38 |
| UK | Main | Y | 1 | 100% | 0% | 0% | 67.00 |
| Upstate NY | Main | Y | 4 | 100% | 0% | 0% | 94.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Kevin Ye | Simon Fraser | Washington B | 23 | 10 |
| Nikhil Nair | BU | Brown B | 24 | 10 |
| Danny Han | Stanford C | Berkeley D | 27 | 10 |
| Cade Reinberger | RIT B | Cornell-DII | 28 | 10 |
| Andrew Nucci | UCLA B | UCSB | 30 | 10 |
| Shardul Parthasarathy | Illinois A | Chicago B | 48 | -5 |
| Will McCurley | Auburn A | Georgia Tech C | 49 | 10 |
| Benjamin Chapman | Toronto A | Toronto E | 52 | 10 |
| Alex Akridge | Indiana A | Chicago C | 53 | 10 |
| Jake Meltzer | CWRU A | Pitt C | 53 | -5 |
| Surya Dinesh | MIT A | Bowdoin B | 55 | 10 |
| Matthew Sumanen | Georgia Tech A | Auburn B | 55 | 10 |
| Swapnil Garg | Berkeley C | Stanford B | 58 | 10 |
| Shiva Tegulla | UCF A | UF E | 60 | 10 |
| Asha Basu | McGill A | McMaster C | 60 | 10 |
| Annika Larson | Claremont Scripps | UCLA C | 61 | 10 |
| Aditya Patnaik | OSU C | Kenyon A | 61 | -5 |
| Jiping Fang | Illinois B | Purdue B | 62 | 10 |
| Akshansh Chauhan | UTD A | Northwestern C | 62 | 10 |
| Vinu Harihar | Berkeley F | Stanford A | 63 | 10 |
| Karthik Jayaram | UCLA A | UCSD What Hath God Wrought | 65 | 10 |
| Malachi Ledford | Tusculum | Virginia A | 65 | 10 |
| Samir Sarma | Georgia Tech D | Alabama A | 65 | 10 |
| June Yin | WashU A | WashU B | 66 | 10 |
| Karthik Krishnamurthy | USC | UCI | 67 | -5 |
| Agnijo Banerjee | Cambridge A | Imperial A | 67 | 10 |
| Russell Nip | British Columbia D | British Columbia B | 67 | 10 |
| David Bass | Johns Hopkins A | Penn A | 69 | 10 |
| Denali Tran-Le | McGill B | Toronto J | 69 | 10 |
| Jim Fan | North Carolina A | South Carolina A | 69 | 10 |
| Matthew He | Texas A | UCO | 69 | 10 |
| Snehan Saroch | Louisville A | Michigan D | 70 | 10 |
| Beckett Pursey | Purdue A | Notre Dame A | 70 | 10 |
| Ben Hellman | Swarthmore A | Lehigh A | 70 | 10 |
| Krishay Garg | UCLA D | UCSD Two Running Violet V Forms | 70 | 10 |
| Ezra Santos | Chicago A | Illinois C | 72 | 10 |
| Parker McCoig | Tennessee A | NC State | 72 | 10 |
| Rohan Ganeshan | Harvard | MIT B | 73 | 10 |
| Jeevika Setzer | Johns Hopkins B | VCU A | 74 | 10 |
| Bryan Ugaz | Arizona State A | Ohio | 74 | 10 |
| Ryan Rosenberg | NYU A | Georgetown A | 80 | 10 |
| Conner Yamnitz | WashU C | Truman State | 80 | -5 |
| Brendan Bridle | Queen's A | Guelph A | 80 | 10 |
| Andres Cordoba | Yale B | Brandeis Wilson | 85 | 10 |
| Ethen Sun | Toronto D | McGill C | 85 | 10 |
| Sharath Narayan | Northwestern A | Iowa | 85 | 10 |
| James Ferrabee | McGill D | UTD B | 86 | 10 |
| Tanay Bodducherla | Berkeley E | Berkeley B | 87 | 10 |
| Alec Riso | Cornell-UG | Brandeis Orlando | 87 | 10 |
| Matthew Kohn | Williams | Amherst A | 87 | 10 |
| Anne Fjeld | Alberta B | Texas B | 87 | 10 |
| Wesley Stine | Clemson A | Tennessee B | 89 | 10 |
| Yashwanth Bajji | Michigan A | Kentucky | 90 | 10 |
| Xavier Bornhorst | Maryland B | Notre Dame E | 90 | 10 |
| Ariel Faeder | Pitt A | OSU B | 90 | 10 |
| S. A. Shenoy | Georgia Tech B | Mississippi State A | 90 | 10 |
| Tommy Donelon | Missouri B | WashU C | 92 | 10 |
| Jack Lewis | Bruin A | UAB A | 93 | 10 |
| Zachary Joseph | Columbia A | Columbia B | 94 | 10 |
| Ishan Joshi | Toronto Metropolitan | McMaster B | 97 | 10 |
| Jason Thieu | MSU A | Pitt B | 97 | 10 |
| Dennis Yang | Michigan B | UIC | 98 | 10 |
| Ian Chow | Washington A | Alberta | 99 | 10 |
| Thomas Glotfelty | Virginia Tech A | North Carolina B | 101 | 10 |
| Andy Yu | Maryland A | NYU B | 101 | 10 |
| Jake Grodner | Princeton A | Lehigh B | 101 | 10 |
| Jaiden Li | UCSD Vices and Virtues | Claremont Pitzer | 101 | 10 |
| Yusuf Baig | McMaster A | Toronto F | 101 | 10 |
| Joseph Strom | Louisville B | Michigan C | 102 | 10 |
| Amir Dolansky | Toronto H | Toronto G | 102 | 10 |
| Ethan Burks | Huntsville B | Vanderbilt B | 102 | 10 |
| Roman Bassett | UF A | UCF B | 103 | 10 |
| Lorie Au Yeung | UCSC | Berkeley A | 103 | 10 |
| Mark Tawfik | Rutgers B | Vassar A | 103 | 10 |
| Tyler Thurman | SIUE | William Woods | 103 | 10 |
| Davin Sivertson | Alabama B | Huntsville A | 103 | -5 |
| Franklin Wu | Toronto C | Queen's B | 104 | 10 |
| Sean Gao | Toronto K | Carleton | 105 | 10 |
| Rahul Rao-Pothuraju | Rowan A | Rutgers C | 105 | 10 |
| Aidan Bernardo | Melbourne B | UF D | 106 | 10 |
| Dustin Sanders | Chicago D | Notre Dame D | 106 | 10 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| Will Hoover | RIT A | Binghamton A | 106 | 10 |
| Arjun Saulnier | CWRU C | OSU A | 106 | 10 |
| Matthew Forster | Dartmouth | Tufts B | 106 | 10 |
| Nolan Travers | Tulsa | Northwestern B | 106 | 10 |
| Rohan Vittal | Brown A | Brandeis Clemenceau | 107 | 10 |
| Yixi Yang | Yale A | Amherst B | 109 | 10 |
| Richard Lim | Bowdoin A | Brandeis Lloyd George | 111 | 10 |
| Advai Srinivasan | UCI | USC | 112 | 10 |
| Lesley Kwarteng | Johns Hopkins C | Penn B | 112 | 10 |
| Aleks Kozlowski | Roanoke | Liberty A | 112 | 10 |
| Kevin Herro | George Washington A | Maryland D | 115 | -5 |
| Puna Ekka | Minnesota A | Macalester B | 117 | 10 |
| Abby Lindley | MSU B | CWRU B | 117 | -5 |
| Nick Fowler | Virginia B | North Carolina C | 117 | 10 |
| Drew Wetterlind | Iowa State | Carleton | 118 | 10 |
| Ilyas Choukri | Virginia Tech B | South Carolina B | 118 | 10 |
| Peter Zeng | OSU D | CWRU D | 118 | -5 |
| Nermeen Rahman | Indiana B | Notre Dame B | 119 | 10 |
| Sriram Susarla | British Columbia C | British Columbia A | 119 | 10 |
| Tyler Turnpaugh | Georgetown B | George Mason C | 120 | 10 |
| Gregory Stone | ESF | Binghamton B | 120 | 10 |
| Loukas Juritsch | Toronto I | Ottawa | 120 | -5 |
| Kennedy Gallaher | Notre Dame C | Purdue C | 122 | 10 |
| Will Zhang | Tufts A | BC A | 122 | 10 |
| Matthew Bucek | George Mason A | George Washington B | 122 | 10 |
| Aidan Keenan | Rochester | Syracuse | 122 | 10 |
| Mateo Acosta | FIU | USF | 122 | 10 |
| Gannon Rice | Clemson B | Liberty B | 122 | 10 |
| Erin Williams | James Madison | Liberty C | 122 | 10 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 122 | 10 |
| Stephen Pace | Guelph B | Western Ontario | 123 | 0 |
| Owen Riviere | Western Ontario | Guelph B | 123 | 0 |
| Niru Shakya | Melbourne A | ERAU A | 123 | 10 |
| Kathleen Perez | ERAU B | FSU | 123 | 10 |
| Samarth Ram | Chicago B | Illinois A | 123 | 10 |
| Ian Parsons | Maryland D | George Washington A | 123 | 10 |
| Sayan Chandaroy | UMBC A | Catholic University | 123 | 10 |
| Sophie Lyman | WashU D | Missouri B | 123 | 10 |
| Jack Fox | Truman State | WashU C | 123 | 10 |
| Halee Carey | Ottawa | Toronto I | 123 | 10 |
| Sai Subramanian | CWRU B | MSU B | 123 | 10 |
| Ethan White | Kenyon A | OSU C | 123 | 0 |
| Kyle Chua | CWRU D | OSU D | 123 | 10 |
| Jason Beardsley | Pitt C | CWRU A | 123 | 10 |
| Ryan Lee | Brown C | BC B | 123 | 10 |
| Luke Houtz | Arizona State B | Rose State | 123 | 10 |
| Kaushul Manikandan | Huntsville A | Alabama B | 123 | 10 |