When does a topological-sector escape count? Definition-sensitive finite-size first-passage statistics across planar XY models
{"Preprint":[0],"of":[1,36,40,57,193],"the":[2,21,28,37,48,55,61,65,116,152,163,245,250,259,262,267,271,277,283,286,290,306,311,314,341],"manuscript":[3,251,291,312],"\\"When":[4],"does":[5],"a":[6,33,132,141,190,242,298],"topological-sector":[7],"escape":[8,59,104,214],"count?":[9],"Definition-sensitive":[10],"finite-size":[11,206],"first-passage":[12,49],"statistics":[13],"across":[14,60],"planar":[15],"XY":[16,63,67,117],"models\\",":[17],"deposited":[18],"together":[19],"with":[20,81,151,178,329],"complete":[22],"data":[23,317],"and":[24,70,87,98,185,201,219,253,255,265,289,297,318],"code":[25,319],"package":[26],"for":[27,131,140,232,340],"study.":[29],"Topological-sector":[30],"freezing":[31],"is":[32,208,215,228,238],"dynamical":[34],"signature":[35],"low-temperature":[38,108],"phase":[39],"Berezinskii-Kosterlitz-Thouless":[41],"(BKT)":[42],"systems,":[43],"but":[44,204],"short":[45],"recrossings":[46],"make":[47],"event":[50,134],"definition":[51],"nonunique.":[52],"We":[53,75],"test":[54],"sensitivity":[56],"topological":[58],"two-dimensional":[62],"model,":[64,69,96],"harmonic":[66],"(HXY)":[68],"an":[71,213],"elementary":[72],"lattice-field":[73],"electrolyte.":[74],"combine":[76],"288":[77],"public":[78,153],"L=64":[79,147,274,280],"trajectories":[80],"864":[82],"newly":[83],"generated":[84,260],"L=8,":[85,183],"L=16,":[86,184],"L=32":[88,186],"trajectories,":[89,261],"giving":[90],"48":[91],"independent":[92,272],"local-Metropolis":[93],"runs":[94],"per":[95],"size,":[97],"reduced-temperature":[99],"condition.":[100],"No":[101],"five-frame":[102,142,164],"persistent":[103],"occurred":[105],"in":[106],"any":[107],"run":[109],"over":[110],"10,000":[111],"observations.":[112],"At":[113],"high":[114],"temperature,":[115],"four-size":[118],"log-log":[119],"RMST":[120,166],"slope":[121,207],"changed":[122],"from":[123,168],"-0.247":[124],"(95%":[125],"bootstrap":[126],"CI":[127],"-0.443":[128],"to":[129,135,138,171,173,176,211,313],"-0.054)":[130],"one-frame":[133,155],"+0.106":[136],"(-0.013":[137],"+0.226)":[139],"event.":[143],"A":[144,157,293],"separate":[145],"288-trajectory":[146],"reproduction":[148,275,300],"batch":[149],"agreed":[150],"primary":[154],"statistics.":[156],"prespecified":[158],"96-trajectory":[159,279],"electrolyte":[160,281],"extension":[161],"reduced":[162],"public-versus-fresh":[165],"ratio":[167],"1.723":[169],"(1.124":[170],"2.719)":[172],"1.448":[174],"(0.995":[175],"2.207),":[177],"Holm-adjusted":[179],"log-rank":[180],"p=0.177.":[181],"Supplemental":[182],"energy":[187],"validation":[188],"gave":[189],"maximum":[191],"split-Rhat":[192],"1.015.":[194],"Topological":[195],"first":[196],"passage":[197],"therefore":[198],"distinguishes":[199],"stable":[200],"mobile":[202],"regimes,":[203],"its":[205],"not":[209],"invariant":[210],"how":[212],"confirmed.":[216],"Event":[217],"persistence":[218],"recrossing":[220],"diagnostics":[221],"must":[222],"be":[223],"specified":[224],"before":[225],"escape-time":[226],"scaling":[227],"used":[229],"as":[230],"evidence":[231],"RG":[233],"universality.":[234],"The":[235,335],"central":[236],"conclusion":[237],"methodological":[239],"rather":[240],"than":[241],"claim":[243],"about":[244],"BKT":[246],"transition":[247],"itself.":[248],"Contents:":[249],"(PDF":[252],"DOCX),":[254],"BKT_Reproducibility_Package.tar.gz,":[256],"which":[257],"contains":[258],"deterministic":[263],"configurations":[264],"seeds,":[266],"L=8/L=16/L=32":[268],"energy-validation":[269],"traces,":[270],"matched":[273],"batch,":[276],"disjoint-seed":[278],"follow-up,":[282],"analysis":[284],"code,":[285],"machine-readable":[287],"results,":[288],"figures.":[292],"standalone":[294],"SHA-256":[295],"checksum":[296],"concise":[299],"guide":[301],"(README.md)":[302],"are":[303],"supplied":[304],"alongside":[305],"archive.":[307],"Version":[308],"2.0.0":[309],"adds":[310],"version":[315],"1.0.0":[316],"package.":[320],"Preprint.":[321],"Not":[322],"peer":[323],"reviewed.":[324],"This":[325],"work":[326],"was":[327],"produced":[328],"substantial":[330],"AI":[331],"assistance":[332],"(Claude,":[333],"Anthropic).":[334],"author":[336],"takes":[337],"full":[338],"responsibility":[339],"content.":[342]}
Authors
- Egemen Ekinci
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-18
- DOI
- https://doi.org/10.5281/zenodo.22833021
- Primary Topic
- Nonlinear Dynamics and Pattern Formation
- Type
- preprint