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 |
| Jake Meltzer | CWRU A | Pitt C | 53 | -5 |
| Alex Akridge | Indiana A | Chicago C | 53 | 10 |
| Matthew Sumanen | Georgia Tech A | Auburn B | 55 | 10 |
| Surya Dinesh | MIT A | Bowdoin B | 55 | 10 |
| Swapnil Garg | Berkeley C | Stanford B | 58 | 10 |
| Asha Basu | McGill A | McMaster C | 60 | 10 |
| Shiva Tegulla | UCF A | UF E | 60 | 10 |
| Annika Larson | Claremont Scripps | UCLA C | 61 | 10 |
| Aditya Patnaik | OSU C | Kenyon A | 61 | -5 |
| Akshansh Chauhan | UTD A | Northwestern C | 62 | 10 |
| Jiping Fang | Illinois B | Purdue B | 62 | 10 |
| Vinu Harihar | Berkeley F | Stanford A | 63 | 10 |
| Malachi Ledford | Tusculum | Virginia A | 65 | 10 |
| Samir Sarma | Georgia Tech D | Alabama A | 65 | 10 |
| Karthik Jayaram | UCLA A | UCSD What Hath God Wrought | 65 | 10 |
| June Yin | WashU A | WashU B | 66 | 10 |
| Russell Nip | British Columbia D | British Columbia B | 67 | 10 |
| Karthik Krishnamurthy | USC | UCI | 67 | -5 |
| Agnijo Banerjee | Cambridge A | Imperial A | 67 | 10 |
| Jim Fan | North Carolina A | South Carolina A | 69 | 10 |
| Denali Tran-Le | McGill B | Toronto J | 69 | 10 |
| David Bass | Johns Hopkins A | Penn A | 69 | 10 |
| Matthew He | Texas A | UCO | 69 | 10 |
| Ben Hellman | Swarthmore A | Lehigh A | 70 | 10 |
| Krishay Garg | UCLA D | UCSD Two Running Violet V Forms | 70 | 10 |
| Snehan Saroch | Louisville A | Michigan D | 70 | 10 |
| Beckett Pursey | Purdue A | Notre Dame A | 70 | 10 |
| Parker McCoig | Tennessee A | NC State | 72 | 10 |
| Ezra Santos | Chicago A | Illinois C | 72 | 10 |
| Rohan Ganeshan | Harvard | MIT B | 73 | 10 |
| Bryan Ugaz | Arizona State A | Ohio | 74 | 10 |
| Jeevika Setzer | Johns Hopkins B | VCU A | 74 | 10 |
| Ryan Rosenberg | NYU A | Georgetown A | 80 | 10 |
| Brendan Bridle | Queen's A | Guelph A | 80 | 10 |
| Conner Yamnitz | WashU C | Truman State | 80 | -5 |
| Sharath Narayan | Northwestern A | Iowa | 85 | 10 |
| Ethen Sun | Toronto D | McGill C | 85 | 10 |
| Andres Cordoba | Yale B | Brandeis Wilson | 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 |
| Xavier Bornhorst | Maryland B | Notre Dame E | 90 | 10 |
| Ariel Faeder | Pitt A | OSU B | 90 | 10 |
| Yashwanth Bajji | Michigan A | Kentucky | 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 |
| 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 |
| Thomas Glotfelty | Virginia Tech A | North Carolina B | 101 | 10 |
| Amir Dolansky | Toronto H | Toronto G | 102 | 10 |
| Joseph Strom | Louisville B | Michigan C | 102 | 10 |
| Ethan Burks | Huntsville B | Vanderbilt B | 102 | 10 |
| Lorie Au Yeung | UCSC | Berkeley A | 103 | 10 |
| Davin Sivertson | Alabama B | Huntsville A | 103 | -5 |
| Mark Tawfik | Rutgers B | Vassar A | 103 | 10 |
| Roman Bassett | UF A | UCF B | 103 | 10 |
| Tyler Thurman | SIUE | William Woods | 103 | 10 |
| Franklin Wu | Toronto C | Queen's B | 104 | 10 |
| Rahul Rao-Pothuraju | Rowan A | Rutgers C | 105 | 10 |
| Sean Gao | Toronto K | Carleton | 105 | 10 |
| Arjun Saulnier | CWRU C | OSU A | 106 | 10 |
| Will Hoover | RIT A | Binghamton A | 106 | 10 |
| Dustin Sanders | Chicago D | Notre Dame D | 106 | 10 |
| Aidan Bernardo | Melbourne B | UF D | 106 | 10 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| 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 |
| Aleks Kozlowski | Roanoke | Liberty A | 112 | 10 |
| Advai Srinivasan | UCI | USC | 112 | 10 |
| Lesley Kwarteng | Johns Hopkins C | Penn B | 112 | 10 |
| Kevin Herro | George Washington A | Maryland D | 115 | -5 |
| Abby Lindley | MSU B | CWRU B | 117 | -5 |
| Nick Fowler | Virginia B | North Carolina C | 117 | 10 |
| Puna Ekka | Minnesota A | Macalester B | 117 | 10 |
| Peter Zeng | OSU D | CWRU D | 118 | -5 |
| Ilyas Choukri | Virginia Tech B | South Carolina B | 118 | 10 |
| Drew Wetterlind | Iowa State | Carleton | 118 | 10 |
| Sriram Susarla | British Columbia C | British Columbia A | 119 | 10 |
| Nermeen Rahman | Indiana B | Notre Dame B | 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 |
| Mateo Acosta | FIU | USF | 122 | 10 |
| Gannon Rice | Clemson B | Liberty B | 122 | 10 |
| Erin Williams | James Madison | Liberty C | 122 | 10 |
| Aidan Keenan | Rochester | Syracuse | 122 | 10 |
| 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 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 122 | 10 |
| Niru Shakya | Melbourne A | ERAU A | 123 | 10 |
| Sai Subramanian | CWRU B | MSU B | 123 | 10 |
| Jason Beardsley | Pitt C | CWRU A | 123 | 10 |
| Luke Houtz | Arizona State B | Rose State | 123 | 10 |
| Kaushul Manikandan | Huntsville A | Alabama B | 123 | 10 |
| Samarth Ram | Chicago B | Illinois A | 123 | 10 |
| Halee Carey | Ottawa | Toronto I | 123 | 10 |
| Stephen Pace | Guelph B | Western Ontario | 123 | 0 |
| Owen Riviere | Western Ontario | Guelph B | 123 | 0 |
| Kathleen Perez | ERAU B | FSU | 123 | 10 |
| Ethan White | Kenyon A | OSU C | 123 | 0 |
| Kyle Chua | CWRU D | OSU D | 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 |
| Ryan Lee | Brown C | BC B | 123 | 10 |