{"id":"https://openalex.org/W3087374075","doi":null,"title":"A Transfer Matrix Approach to Studying the Entanglement Complexity of Self-Avoiding Polygons in Lattice Tubes","display_name":"A Transfer Matrix Approach to Studying the Entanglement Complexity of Self-Avoiding Polygons in Lattice Tubes","publication_year":2020,"publication_date":"2020-08-01","ids":{"openalex":"https://openalex.org/W3087374075","mag":"3087374075"},"language":"en","primary_location":{"id":"pmh:oai:harvest.usask.ca:10388/13022","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/10388/13022","pdf_url":null,"source":{"id":"https://openalex.org/S7407063267","display_name":"HARVEST (University of Saskatchewan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004748530","display_name":"Jeremy Eng","orcid":"https://orcid.org/0000-0002-2006-017X","observed_orcids":["https://orcid.org/0000-0002-2006-017X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jeremy Eng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5004748530"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.014499999582767487,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0026000000070780516,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/self-avoiding-polygons","display_name":"self-avoiding polygons","score":0.9990000128746033},{"id":"https://openalex.org/keywords/knotting","display_name":"knotting","score":0.6179999709129333},{"id":"https://openalex.org/keywords/linking","display_name":"linking","score":0.8220000267028809},{"id":"https://openalex.org/keywords/ring-polymers","display_name":"ring polymers","score":0.8109999895095825},{"id":"https://openalex.org/keywords/dna-topology","display_name":"DNA topology","score":0.8460000157356262},{"id":"https://openalex.org/keywords/confinement-effects","display_name":"confinement effects","score":0.7110000252723694},{"id":"https://openalex.org/keywords/transfer-matrix-method","display_name":"transfer matrix method","score":0.6309999823570251},{"id":"https://openalex.org/keywords/asymptotic-growth-rate","display_name":"asymptotic growth rate","score":0.796999990940094},{"id":"https://openalex.org/keywords/simple-cubic-lattice","display_name":"simple cubic lattice","score":0.6150000095367432},{"id":"https://openalex.org/keywords/nonequilibrium-simulation","display_name":"non-equilibrium simulation","score":0.5709999799728394}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7180903553962708},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6090959906578064},{"id":"https://openalex.org/C122890649","wikidata":"https://www.wikidata.org/wiki/Q7834016","display_name":"Transfer matrix","level":2,"score":0.5626233816146851},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49176886677742004},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.36214929819107056},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.35420310497283936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3528798818588257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.339909166097641},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3111256957054138},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.16874483227729797},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:harvest.usask.ca:10388/13022","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/10388/13022","pdf_url":null,"source":{"id":"https://openalex.org/S7407063267","display_name":"HARVEST (University of Saskatchewan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},{"id":"mag:3087374075","doi":null,"is_oa":false,"landing_page_url":"https://harvest.usask.ca/handle/10388/13022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W574726149","https://openalex.org/W591429885","https://openalex.org/W620325508","https://openalex.org/W1504241636","https://openalex.org/W1511485913","https://openalex.org/W1551519020","https://openalex.org/W1580733536","https://openalex.org/W1588760439","https://openalex.org/W1607694504","https://openalex.org/W1607742244","https://openalex.org/W1642306673","https://openalex.org/W1963845823","https://openalex.org/W1966853719","https://openalex.org/W1984447149","https://openalex.org/W1985063465","https://openalex.org/W1989980582","https://openalex.org/W1996505087","https://openalex.org/W1997665816","https://openalex.org/W2014216589","https://openalex.org/W2018536582","https://openalex.org/W2021288400","https://openalex.org/W2023583082","https://openalex.org/W2027220894","https://openalex.org/W2032349337","https://openalex.org/W2033484470","https://openalex.org/W2036497333","https://openalex.org/W2038796348","https://openalex.org/W2042276071","https://openalex.org/W2062920711","https://openalex.org/W2064230672","https://openalex.org/W2068998318","https://openalex.org/W2069159861","https://openalex.org/W2073975746","https://openalex.org/W2074741372","https://openalex.org/W2077769495","https://openalex.org/W2079665716","https://openalex.org/W2085529455","https://openalex.org/W2085548090","https://openalex.org/W2088863478","https://openalex.org/W2094735584","https://openalex.org/W2101497849","https://openalex.org/W2135190106","https://openalex.org/W2146070592","https://openalex.org/W2242575495","https://openalex.org/W2512389053","https://openalex.org/W2603441380","https://openalex.org/W2769542922","https://openalex.org/W2791432831","https://openalex.org/W2902037584","https://openalex.org/W3098707660","https://openalex.org/W3103568817"],"related_works":["https://openalex.org/W2101497849","https://openalex.org/W2146070592","https://openalex.org/W2902037584","https://openalex.org/W7124739154","https://openalex.org/W2018223641","https://openalex.org/W190002787","https://openalex.org/W7097516176","https://openalex.org/W2032349337","https://openalex.org/W2052900613","https://openalex.org/W2609943973"],"abstract_inverted_index":{"Self-avoiding":[0],"polygons":[1,143],"(SAPs)":[2],"are":[3,36,50,64,76,122,188,202,299,336,458,492],"a":[4,39,83,130,145,167,174,177,275,407,448],"well-established":[5],"useful":[6,16],"model":[7],"of":[8,27,42,57,73,102,118,137,140,144,170,199,230,241,295,324,334,357,400,404,428],"ring":[9],"polymers":[10,268,478,489],"and":[11,70,124,196,288,364,390,437,447,460,481],"they":[12],"have":[13,361,383],"also":[14,180,320,384],"proved":[15],"for":[17,66,78,115,134,190,204,215,238,310,376,397,421,451,454,477,488],"addressing":[18],"DNA":[19,30,392],"topology":[20],"questions.":[21],"Motivated":[22],"by":[23,160,219,282,289],"exploring":[24],"the":[25,43,54,89,116,135,138,150,154,221,239,252,256,260,263,283,311,331,370,398,401,426,429,432,482],"effects":[26],"confinement":[28],"on":[29],"topology,":[31],"in":[32,59,105,176,192,233,266,274,314,326,345,387,391,406,431,456,479,490],"this":[33],"thesis,":[34],"SAPs":[35,58,104,121,172,216],"confined":[37,269],"to":[38,52,95,128,182,212,225,270,351,462],"tubular":[40,271],"sublattice":[41],"simple":[44],"cubic":[45],"lattice.":[46],"Transfer":[47,62],"matrix":[48],"methods":[49],"applied":[51],"examine":[53],"entanglement":[55],"complexity":[56],"lattice":[60],"tubes.":[61,106,234,327,353],"matrices":[63,92,187,224],"generated":[65,90,110,189],"small":[67,79,193,205,377],"tube":[68,178,194,378,408,464],"sizes,":[69,195],"exact":[71,197],"enumeration":[72,198],"knotting":[74,325,341],"distributions":[75,201],"obtained":[77,203,258,309],"SAP":[80,317],"sizes.":[81,207,379],"Also,":[82],"novel":[84,449],"sampling":[85,209],"procedure":[86,210],"that":[87,153,213,262,292,340,369],"utilizes":[88],"transfer":[91,186,223,442],"is":[93,126,179,217,245,280,308,342,367,374,409],"implemented":[94,218],"obtain":[96,226],"independent":[97,227],"uniformly":[98],"distributed":[99],"random":[100],"samples":[101,229],"large":[103,231],"Using":[107],"these":[108],"randomly":[109],"polygons,":[111],"asymptotic":[112,132,236],"growth":[113,136],"rates":[114],"number":[117,139,240],"fixed":[119,141,242],"knot-type":[120,142],"estimated,":[123],"evidence":[125,151,250,257,291,307,338,366,396,473,484],"provided":[127,368],"support":[129],"conjectured":[131,246],"form":[133,237],"given":[146],"size.":[147,305],"In":[148,424],"particular,":[149],"supports":[152,259],"entropic":[155,284],"critical":[156,285],"exponent":[157,286],"goes":[158],"up":[159,417],"one":[161],"with":[162,247,303],"each":[163],"knot":[164,296,358,452,475],"factor.":[165],"Additionally,":[166,354],"system":[168],"consisting":[169],"two":[171,355,381],"(called":[173],"2SAP)":[175],"studied":[181],"explore":[183],"linking.":[184],"New":[185],"2SAPs":[191,232,244,405],"linking":[200,487],"2SAP":[206,222],"A":[208],"similar":[211],"developed":[214,459],"using":[220],"uniform":[228],"An":[235],"link-type":[243],"some":[248],"supporting":[249,474],"from":[251],"sampled":[253],"2SAPs.":[254,315],"All":[255],"conclusion":[261],"knotted":[264,312],"parts":[265,313],"long":[267],"environments":[272],"occur":[273],"relatively":[276],"localized":[277],"manner.":[278],"This":[279],"supported":[281],"results,":[287],"preliminary":[290],"average":[293],"spans":[294],"factor":[297],"patterns":[298],"not":[300],"growing":[301],"significantly":[302],"polygon":[304],"Similar":[306],"The":[316,395],"study":[318,414],"has":[319,415],"revealed":[321],"further":[322,422],"characteristics":[323,399],"For":[328],"example,":[329],"when":[330],"cross-sectional":[332],"area":[333],"tubes":[335,348,457,480,491],"equal,":[337],"indicates":[339],"more":[343,346],"likely":[344],"symmetrical":[347],"as":[349],"opposed":[350],"flatter":[352],"types":[356],"pattern":[359],"modes":[360,382],"been":[362,385],"observed":[363,386],"strong":[365,471],"so-called":[371],"non-local":[372],"mode":[373],"dominant":[375],"These":[380],"non-equilibrium":[388],"simulations":[389],"nanopore":[393],"experiments.":[394],"linked":[402],"part":[403],"less":[410],"conclusive":[411],"but":[412],"its":[413],"opened":[416],"numerous":[418],"interesting":[419],"questions":[420],"study.":[423],"summary,":[425],"novelty":[427],"contributions":[430],"thesis":[433],"include":[434],"both":[435],"computational":[436],"polymer":[438],"modelling":[439],"contributions.":[440],"Computationally:":[441],"matrices,":[443],"Monte":[444],"Carlo":[445],"methods,":[446],"approach":[450],"identification":[453],"knots":[455],"extended":[461],"larger":[463],"sizes":[465],"than":[466],"ever":[467],"before.":[468],"Polymer":[469],"modelling:":[470],"numerical":[472],"localization":[476],"first":[483],"regarding":[485],"characterising":[486],"obtained.":[493]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-09-25T00:00:00"}
