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 |
| 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 |
| 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 |
| Agnijo Banerjee | Cambridge A | Imperial A | 67 | 10 |
| Karthik Krishnamurthy | USC | UCI | 67 | -5 |
| Jim Fan | North Carolina A | South Carolina A | 69 | 10 |
| David Bass | Johns Hopkins A | Penn A | 69 | 10 |
| Matthew He | Texas A | UCO | 69 | 10 |
| Denali Tran-Le | McGill B | Toronto J | 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 |
| 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 |
| Anne Fjeld | Alberta B | Texas B | 87 | 10 |
| Tanay Bodducherla | Berkeley E | Berkeley B | 87 | 10 |
| Alec Riso | Cornell-UG | Brandeis Orlando | 87 | 10 |
| Matthew Kohn | Williams | Amherst A | 87 | 10 |
| Wesley Stine | Clemson A | Tennessee B | 89 | 10 |
| Xavier Bornhorst | Maryland B | Notre Dame E | 90 | 10 |
| S. A. Shenoy | Georgia Tech B | Mississippi State A | 90 | 10 |
| Ariel Faeder | Pitt A | OSU B | 90 | 10 |
| Yashwanth Bajji | Michigan A | Kentucky | 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 |
| Yusuf Baig | McMaster A | Toronto F | 101 | 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 |
| Amir Dolansky | Toronto H | Toronto G | 102 | 10 |
| Ethan Burks | Huntsville B | Vanderbilt B | 102 | 10 |
| Joseph Strom | Louisville B | Michigan C | 102 | 10 |
| Lorie Au Yeung | UCSC | Berkeley A | 103 | 10 |
| Roman Bassett | UF A | UCF B | 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 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| Nolan Travers | Tulsa | Northwestern B | 106 | 10 |
| Aidan Bernardo | Melbourne B | UF D | 106 | 10 |
| Dustin Sanders | Chicago D | Notre Dame D | 106 | 10 |
| Will Hoover | RIT A | Binghamton A | 106 | 10 |
| Arjun Saulnier | CWRU C | OSU 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 |
| 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 |
| Abby Lindley | MSU B | CWRU B | 117 | -5 |
| 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 |
| Tyler Turnpaugh | Georgetown B | George Mason C | 120 | 10 |
| Loukas Juritsch | Toronto I | Ottawa | 120 | -5 |
| Gregory Stone | ESF | Binghamton B | 120 | 10 |
| Mateo Acosta | FIU | USF | 122 | 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 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 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 |
| Stephen Pace | Guelph B | Western Ontario | 123 | 0 |
| Owen Riviere | Western Ontario | Guelph B | 123 | 0 |
| Ian Parsons | Maryland D | George Washington A | 123 | 10 |
| Sayan Chandaroy | UMBC A | Catholic University | 123 | 10 |
| Luke Houtz | Arizona State B | Rose State | 123 | 10 |
| Halee Carey | Ottawa | Toronto I | 123 | 10 |
| 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 |
| Kaushul Manikandan | Huntsville A | Alabama B | 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 |