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 |
| 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 |
| 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 |
| 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 |
| David Bass | Johns Hopkins A | Penn A | 69 | 10 |
| Denali Tran-Le | McGill B | Toronto J | 69 | 10 |
| Matthew He | Texas A | UCO | 69 | 10 |
| Krishay Garg | UCLA D | UCSD Two Running Violet V Forms | 70 | 10 |
| Ben Hellman | Swarthmore A | Lehigh A | 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 |
| 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 |
| Brendan Bridle | Queen's A | Guelph A | 80 | 10 |
| Conner Yamnitz | WashU C | Truman State | 80 | -5 |
| 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 |
| 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 |
| Jaiden Li | UCSD Vices and Virtues | Claremont Pitzer | 101 | 10 |
| Thomas Glotfelty | Virginia Tech A | North Carolina B | 101 | 10 |
| Andy Yu | Maryland A | NYU B | 101 | 10 |
| Yusuf Baig | McMaster A | Toronto F | 101 | 10 |
| Jake Grodner | Princeton A | Lehigh 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 |
| Roman Bassett | UF A | UCF B | 103 | 10 |
| Mark Tawfik | Rutgers B | Vassar A | 103 | 10 |
| Tyler Thurman | SIUE | William Woods | 103 | 10 |
| Lorie Au Yeung | UCSC | Berkeley A | 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 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| Matthew Forster | Dartmouth | Tufts B | 106 | 10 |
| Aidan Bernardo | Melbourne B | UF D | 106 | 10 |
| Dustin Sanders | Chicago D | Notre Dame D | 106 | 10 |
| Arjun Saulnier | CWRU C | OSU A | 106 | 10 |
| Nolan Travers | Tulsa | Northwestern B | 106 | 10 |
| Will Hoover | RIT A | Binghamton A | 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 |
| Lesley Kwarteng | Johns Hopkins C | Penn B | 112 | 10 |
| Advai Srinivasan | UCI | USC | 112 | 10 |
| Kevin Herro | George Washington A | Maryland D | 115 | -5 |
| Nick Fowler | Virginia B | North Carolina C | 117 | 10 |
| Puna Ekka | Minnesota A | Macalester B | 117 | 10 |
| Abby Lindley | MSU B | CWRU B | 117 | -5 |
| Ilyas Choukri | Virginia Tech B | South Carolina B | 118 | 10 |
| Peter Zeng | OSU D | CWRU D | 118 | -5 |
| 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 |
| Loukas Juritsch | Toronto I | Ottawa | 120 | -5 |
| Gregory Stone | ESF | Binghamton B | 120 | 10 |
| Gannon Rice | Clemson B | Liberty B | 122 | 10 |
| Erin Williams | James Madison | Liberty C | 122 | 10 |
| Matthew Bucek | George Mason A | George Washington B | 122 | 10 |
| Will Zhang | Tufts A | BC A | 122 | 10 |
| Mateo Acosta | FIU | USF | 122 | 10 |
| Kennedy Gallaher | Notre Dame C | Purdue C | 122 | 10 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 122 | 10 |
| Aidan Keenan | Rochester | Syracuse | 122 | 10 |
| Ian Parsons | Maryland D | George Washington A | 123 | 10 |
| Sayan Chandaroy | UMBC A | Catholic University | 123 | 10 |
| Ryan Lee | Brown C | BC B | 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 |
| Niru Shakya | Melbourne A | ERAU A | 123 | 10 |
| Kathleen Perez | ERAU B | FSU | 123 | 10 |
| Sophie Lyman | WashU D | Missouri B | 123 | 10 |
| Jack Fox | Truman State | WashU C | 123 | 10 |
| Samarth Ram | Chicago B | Illinois A | 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 |
| Luke Houtz | Arizona State B | Rose State | 123 | 10 |
| Kaushul Manikandan | Huntsville A | Alabama B | 123 | 10 |