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[175] argues that the modified effective interaction between spiral defects (compared to that between XY vortices) allows for a finite density of defects at any temperature, potentially suppressing the algebraic order.","type":"other"},{"key":"PhysRevE.111.034124Cc93R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.031113","type":"journal-article"},{"key":"PhysRevE.111.034124Cc94R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.145701","type":"journal-article"},{"key":"PhysRevE.111.034124Cc95R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2011\/09\/P09023","type":"journal-article"},{"key":"PhysRevE.111.034124Cc96R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.58.2155","type":"journal-article"},{"key":"PhysRevE.111.034124Cc97R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01014885","type":"journal-article"},{"key":"PhysRevE.111.034124Cc98R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.41.1932","type":"journal-article"},{"key":"PhysRevE.111.034124Cc99R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.73.3038","type":"journal-article"},{"key":"PhysRevE.111.034124Cc100R1","unstructured":"Note that these arguments require that the system is isotropic and that the noise is unbounded so that it can create arbitrarily large droplets   [98, 99].","type":"other"},{"key":"PhysRevE.111.034124Cc101R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.3607","type":"journal-article"},{"key":"PhysRevE.111.034124Cc102R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.56.889","type":"journal-article"},{"key":"PhysRevE.111.034124Cc103R1","doi-asserted-by":"crossref","DOI":"10.1017\/9781107278974","type":"book","volume-title":"Nonequilibrium Statistical Physics: A Modern Perspective","author":"R. 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T\u00e4uber","year":"2025","type":"book"},{"key":"PhysRevE.111.034124Cc126R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.77.137","type":"journal-article"},{"key":"PhysRevE.111.034124Cc127R1","unstructured":"This can be seen by integrating d\u03d5t=\u03c9dt+2D\u03d5dWt where Wt is a standard Wiener process, leading to \u03d5(t)\u2212\u03d5(0)=\u03c9t+2D\u03d5Wt. We find C(t)=ei\u03c9t\u2329ei2D\u03d5Wt\u232a. As Wt follows a normal distribution N(\u03bc=0,\u03c32=t), its moment-generating function is MWt(x)\u2261E(exWt)=e\u03bcx+\u03c32x2\/2 from which the result is found.","type":"other"},{"key":"PhysRevE.111.034124Cc128R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1513461","type":"journal-article"},{"key":"PhysRevE.111.034124Cc129R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys3412","type":"journal-article"},{"key":"PhysRevE.111.034124Cc130R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.106.014106","type":"journal-article"},{"key":"PhysRevE.111.034124Cc131R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.108.L042103","type":"journal-article"},{"key":"PhysRevE.111.034124Cc132R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.131.077101","type":"journal-article"},{"key":"PhysRevE.111.034124Cc134R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6633\/aa8b38","type":"journal-article"},{"key":"PhysRevE.111.034124Cc135R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.121.035301","type":"journal-article"},{"key":"PhysRevE.111.034124Cc136R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-019-09757-y","type":"journal-article"},{"key":"PhysRevE.111.034124Cc137R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.053605","type":"journal-article"},{"key":"PhysRevE.111.034124Cc138R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.abo3382","type":"journal-article"},{"key":"PhysRevE.111.034124Cc139R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-019-0782-3","type":"journal-article"},{"key":"PhysRevE.111.034124Cc140R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.95.031001","type":"journal-article"},{"key":"PhysRevE.111.034124Cc141R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-22492-2","type":"book","volume-title":"The Geometry of Biological Time","author":"A.\u00a0T. 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