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 |
| Shiva Tegulla | UCF A | UF E | 60 | 10 |
| Asha Basu | McGill A | McMaster C | 60 | 10 |
| Aditya Patnaik | OSU C | Kenyon A | 61 | -5 |
| Annika Larson | Claremont Scripps | UCLA C | 61 | 10 |
| 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 |
| Matthew He | Texas A | UCO | 69 | 10 |
| Denali Tran-Le | McGill B | Toronto J | 69 | 10 |
| David Bass | Johns Hopkins A | Penn A | 69 | 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 |
| Krishay Garg | UCLA D | UCSD Two Running Violet V Forms | 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 |
| Matthew Kohn | Williams | Amherst A | 87 | 10 |
| Anne Fjeld | Alberta B | Texas B | 87 | 10 |
| Alec Riso | Cornell-UG | Brandeis Orlando | 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 |
| Andy Yu | Maryland A | NYU B | 101 | 10 |
| Yusuf Baig | McMaster A | Toronto F | 101 | 10 |
| Jaiden Li | UCSD Vices and Virtues | Claremont Pitzer | 101 | 10 |
| Thomas Glotfelty | Virginia Tech A | North Carolina B | 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 |
| Davin Sivertson | Alabama B | Huntsville A | 103 | -5 |
| Tyler Thurman | SIUE | William Woods | 103 | 10 |
| Lorie Au Yeung | UCSC | Berkeley A | 103 | 10 |
| Mark Tawfik | Rutgers B | Vassar A | 103 | 10 |
| 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 |
| Matthew Forster | Dartmouth | Tufts B | 106 | 10 |
| Nolan Travers | Tulsa | Northwestern B | 106 | 10 |
| Arjun Saulnier | CWRU C | OSU A | 106 | 10 |
| Andrew Massaro | Catholic University | UMBC A | 106 | -5 |
| Dustin Sanders | Chicago D | Notre Dame D | 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 |
| Advai Srinivasan | UCI | USC | 112 | 10 |
| Lesley Kwarteng | Johns Hopkins C | Penn B | 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 |
| 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 |
| Loukas Juritsch | Toronto I | Ottawa | 120 | -5 |
| Gregory Stone | ESF | Binghamton B | 120 | 10 |
| Will Zhang | Tufts A | BC A | 122 | 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 |
| Kennedy Gallaher | Notre Dame C | Purdue C | 122 | 10 |
| Blake Enwiller | Vanderbilt A | Sewanee A | 122 | 10 |
| Aidan Keenan | Rochester | Syracuse | 122 | 10 |
| Kathleen Perez | ERAU B | FSU | 123 | 10 |
| Ethan White | Kenyon A | OSU C | 123 | 0 |
| Kyle Chua | CWRU D | OSU D | 123 | 10 |
| Ryan Lee | Brown C | BC B | 123 | 10 |
| Luke Houtz | Arizona State B | Rose State | 123 | 10 |
| Kaushul Manikandan | Huntsville A | Alabama B | 123 | 10 |
| Halee Carey | Ottawa | Toronto I | 123 | 10 |
| Sophie Lyman | WashU D | Missouri B | 123 | 10 |
| Jack Fox | Truman State | WashU C | 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 |
| Sai Subramanian | CWRU B | MSU B | 123 | 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 |