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 |
| 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 |
| Russell Nip | British Columbia D | British Columbia B | 67 | 10 |
| Agnijo Banerjee | Cambridge A | Imperial A | 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 |
| 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 |
| 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 |
| Brendan Bridle | Queen's A | Guelph A | 80 | 10 |
| Ryan Rosenberg | NYU A | Georgetown A | 80 | 10 |
| Conner Yamnitz | WashU C | Truman State | 80 | -5 |
| Ethen Sun | Toronto D | McGill C | 85 | 10 |
| Andres Cordoba | Yale B | Brandeis Wilson | 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 |
| Anne Fjeld | Alberta B | Texas B | 87 | 10 |
| Matthew Kohn | Williams | Amherst A | 87 | 10 |
| Wesley Stine | Clemson A | Tennessee B | 89 | 10 |
| Ariel Faeder | Pitt A | OSU B | 90 | 10 |
| Xavier Bornhorst | Maryland B | Notre Dame E | 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 |
| Jason Thieu | MSU A | Pitt B | 97 | 10 |
| Ishan Joshi | Toronto Metropolitan | McMaster 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 |
| 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 |
| Andy Yu | Maryland A | NYU 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 |
| Mark Tawfik | Rutgers B | Vassar A | 103 | 10 |
| Roman Bassett | UF A | UCF B | 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 |
| Rahul Rao-Pothuraju | Rowan A | Rutgers C | 105 | 10 |
| Sean Gao | Toronto K | Carleton | 105 | 10 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| Dustin Sanders | Chicago D | Notre Dame D | 106 | 10 |
| Aidan Bernardo | Melbourne B | UF 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 |
| Matthew Forster | Dartmouth | Tufts 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 |
| 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 |
| 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 |
| Nermeen Rahman | Indiana B | Notre Dame B | 119 | 10 |
| Sriram Susarla | British Columbia C | British Columbia A | 119 | 10 |
| Loukas Juritsch | Toronto I | Ottawa | 120 | -5 |
| Tyler Turnpaugh | Georgetown B | George Mason C | 120 | 10 |
| 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 |
| Mateo Acosta | FIU | USF | 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 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 122 | 10 |
| Jason Beardsley | Pitt C | CWRU A | 123 | 10 |
| Ian Parsons | Maryland D | George Washington A | 123 | 10 |
| Sayan Chandaroy | UMBC A | Catholic University | 123 | 10 |
| Samarth Ram | Chicago B | Illinois A | 123 | 10 |
| Halee Carey | Ottawa | Toronto I | 123 | 10 |
| Niru Shakya | Melbourne A | ERAU A | 123 | 10 |
| Kathleen Perez | ERAU B | FSU | 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 |
| Sophie Lyman | WashU D | Missouri B | 123 | 10 |
| Jack Fox | Truman State | WashU C | 123 | 10 |
| Kaushul Manikandan | Huntsville A | Alabama B | 123 | 10 |
| Stephen Pace | Guelph B | Western Ontario | 123 | 0 |
| Owen Riviere | Western Ontario | Guelph B | 123 | 0 |
| Ryan Lee | Brown C | BC B | 123 | 10 |
| Luke Houtz | Arizona State B | Rose State | 123 | 10 |