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 |
| Malachi Ledford | Tusculum | Virginia A | 65 | 10 |
| Karthik Jayaram | UCLA A | UCSD What Hath God Wrought | 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 |
| 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 |
| Jim Fan | North Carolina A | South Carolina A | 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 |
| Sharath Narayan | Northwestern A | Iowa | 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 |
| 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 |
| 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 |
| Yusuf Baig | McMaster A | Toronto F | 101 | 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 |
| 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 |
| Roman Bassett | UF A | UCF B | 103 | 10 |
| Mark Tawfik | Rutgers B | Vassar A | 103 | 10 |
| Lorie Au Yeung | UCSC | Berkeley 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 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| Dustin Sanders | Chicago D | Notre Dame D | 106 | 10 |
| Nolan Travers | Tulsa | Northwestern B | 106 | 10 |
| Arjun Saulnier | CWRU C | OSU A | 106 | 10 |
| Matthew Forster | Dartmouth | Tufts 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 |
| Lesley Kwarteng | Johns Hopkins C | Penn B | 112 | 10 |
| Advai Srinivasan | UCI | USC | 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 |
| Sriram Susarla | British Columbia C | British Columbia A | 119 | 10 |
| Nermeen Rahman | Indiana B | Notre Dame B | 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 |
| Mateo Acosta | FIU | USF | 122 | 10 |
| Matthew Bucek | George Mason A | George Washington B | 122 | 10 |
| Kennedy Gallaher | Notre Dame C | Purdue C | 122 | 10 |
| Gannon Rice | Clemson B | Liberty B | 122 | 10 |
| Erin Williams | James Madison | Liberty C | 122 | 10 |
| Will Zhang | Tufts A | BC A | 122 | 10 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 122 | 10 |
| Aidan Keenan | Rochester | Syracuse | 122 | 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 |
| 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 |
| Luke Houtz | Arizona State B | Rose State | 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 |
| Sophie Lyman | WashU D | Missouri B | 123 | 10 |
| Jack Fox | Truman State | WashU C | 123 | 10 |
| Kaushul Manikandan | Huntsville A | Alabama B | 123 | 10 |