{"id":"https://openalex.org/W2001199955","doi":"https://doi.org/10.1088/1742-5468/2010/10/p10019","title":"Dynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants","display_name":"Dynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants","publication_year":2010,"publication_date":"2010-10-13","ids":{"openalex":"https://openalex.org/W2001199955","doi":"https://doi.org/10.1088/1742-5468/2010/10/p10019","mag":"2001199955"},"language":"en","primary_location":{"id":"doi:10.1088/1742-5468/2010/10/p10019","doi":"https://doi.org/10.1088/1742-5468/2010/10/p10019","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1742-5468/2010/10/p10019","pdf_url":null,"source":{"id":"https://openalex.org/S167943036","display_name":"Journal of Statistical Mechanics Theory and Experiment","issn_l":"1742-5468","issn":["1742-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Mechanics: Theory and Experiment","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1010.3811","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013031184","display_name":"Mohammad Khorrami","orcid":"https://orcid.org/0000-0002-2524-5237","observed_orcids":["https://orcid.org/0000-0002-2524-5237"]},"institutions":[{"id":"https://openalex.org/I67080706","display_name":"Alzahra University","ror":"https://ror.org/013cdqc34","country_code":"IR","type":"education","lineage":["https://openalex.org/I67080706"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Khorrami","raw_affiliation_strings":["Department of Physics, Alzahra University, Tehran 19384, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Alzahra University, Tehran 19384, Iran","institution_ids":["https://openalex.org/I67080706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087169277","display_name":"Amir Aghamohammadi","orcid":"https://orcid.org/0000-0002-0868-9813","observed_orcids":["https://orcid.org/0000-0002-0868-9813"]},"institutions":[{"id":"https://openalex.org/I67080706","display_name":"Alzahra University","ror":"https://ror.org/013cdqc34","country_code":"IR","type":"education","lineage":["https://openalex.org/I67080706"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amir Aghamohammadi","raw_affiliation_strings":["Department of Physics, Alzahra University, Tehran 19384, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Alzahra University, Tehran 19384, Iran","institution_ids":["https://openalex.org/I67080706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I67080706"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.9499,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72069432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2010","issue":"10","first_page":"P10019","last_page":"P10019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.8134999871253967,"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"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.8134999871253967,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.1428000032901764,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.014800000004470348,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamic-phase-transition","display_name":"dynamical phase transitions","score":0.9769999980926514},{"id":"https://openalex.org/keywords/kinetic-ising-model","display_name":"kinetic Ising model","score":0.9959999918937683},{"id":"https://openalex.org/keywords/one-dimensional-lattice","display_name":"one-dimensional lattice","score":0.925000011920929},{"id":"https://openalex.org/keywords/relaxation-time","display_name":"relaxation time","score":0.925000011920929},{"id":"https://openalex.org/keywords/transfer-matrix-method","display_name":"transfer matrix method","score":0.6660000085830688},{"id":"https://openalex.org/keywords/nonequilibrium-relaxation","display_name":"nonequilibrium relaxation","score":0.6669999957084656}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.6804999709129333},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5332000255584717},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.531499981880188},{"id":"https://openalex.org/C65550862","wikidata":"https://www.wikidata.org/wiki/Q2142563","display_name":"Temperature jump","level":2,"score":0.5008000135421753},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.47760000824928284},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.46650001406669617},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.4616999924182892},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.44519999623298645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4327999949455261},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4244999885559082},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.41850000619888306},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3783999979496002},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.37040001153945923},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.36070001125335693},{"id":"https://openalex.org/C93391505","wikidata":"https://www.wikidata.org/wiki/Q658700","display_name":"Reaction rate constant","level":3,"score":0.35499998927116394},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3474000096321106},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C122890649","wikidata":"https://www.wikidata.org/wiki/Q7834016","display_name":"Transfer matrix","level":2,"score":0.33169999718666077},{"id":"https://openalex.org/C70557757","wikidata":"https://www.wikidata.org/wiki/Q7834432","display_name":"Transition rate matrix","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C2776825372","wikidata":"https://www.wikidata.org/wiki/Q3922411","display_name":"Jump process","level":3,"score":0.30140000581741333},{"id":"https://openalex.org/C168907044","wikidata":"https://www.wikidata.org/wiki/Q7834431","display_name":"Transition point","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C49005734","wikidata":"https://www.wikidata.org/wiki/Q7581981","display_name":"Square-lattice Ising model","level":3,"score":0.28700000047683716},{"id":"https://openalex.org/C135854075","wikidata":"https://www.wikidata.org/wiki/Q1421688","display_name":"Relaxation oscillator","level":4,"score":0.28690001368522644},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2808000147342682},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.26669999957084656},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C75577371","wikidata":"https://www.wikidata.org/wiki/Q6497124","display_name":"Lattice model (finance)","level":3,"score":0.26080000400543213},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2549000084400177},{"id":"https://openalex.org/C175113610","wikidata":"https://www.wikidata.org/wiki/Q3394849","display_name":"Reaction rate","level":3,"score":0.2502000033855438}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1088/1742-5468/2010/10/p10019","doi":"https://doi.org/10.1088/1742-5468/2010/10/p10019","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1742-5468/2010/10/p10019","pdf_url":null,"source":{"id":"https://openalex.org/S167943036","display_name":"Journal of Statistical Mechanics Theory and Experiment","issn_l":"1742-5468","issn":["1742-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Mechanics: Theory and Experiment","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1010.3811","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1010.3811","pdf_url":"https://arxiv.org/pdf/1010.3811","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1010.3811","doi":"https://doi.org/10.48550/arxiv.1010.3811","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1010.3811","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1010.3811","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1010.3811","pdf_url":"https://arxiv.org/pdf/1010.3811","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1965533929","https://openalex.org/W1968027419","https://openalex.org/W1979460795","https://openalex.org/W1981188881","https://openalex.org/W1982789149","https://openalex.org/W1983036232","https://openalex.org/W1983272724","https://openalex.org/W1987026344","https://openalex.org/W2004519521","https://openalex.org/W2014155774","https://openalex.org/W2017397803","https://openalex.org/W2023515682","https://openalex.org/W2024962676","https://openalex.org/W2030547380","https://openalex.org/W2032072980","https://openalex.org/W2054725806","https://openalex.org/W2066532929","https://openalex.org/W2066719415","https://openalex.org/W2069388133","https://openalex.org/W2072276994","https://openalex.org/W2077230805","https://openalex.org/W2078964838","https://openalex.org/W2084776038","https://openalex.org/W2090999601","https://openalex.org/W2152783997"],"related_works":[],"abstract_inverted_index":{"An":[0],"extension":[1],"of":[2,22,66,75,106,125],"the":[3,20,44,56,60,67,70,76,80,84,88,96,107,111,123,126,132,136],"kinetic":[4],"Ising":[5],"model":[6],"with":[7,15,129],"nonuniform":[8],"coupling":[9],"constants":[10],"on":[11],"a":[12,24,32,47,93,102,120],"one-dimensional":[13],"lattice":[14],"boundaries":[16],"is":[17,29,37,73,92,119],"investigated,":[18],"and":[19,59],"relaxation":[21,71,97,127],"such":[23],"system":[25,45],"towards":[26],"its":[27],"equilibrium":[28],"studied.":[30],"Using":[31],"transfer":[33],"matrix":[34],"method,":[35],"it":[36],"shown":[38],"that":[39,114],"there":[40,91,118],"are":[41],"cases":[42],"where":[43,95],"exhibits":[46],"dynamical":[48],"phase":[49,58],"transition.":[50],"There":[51],"may":[52],"be":[53],"two":[54],"phases,":[55],"fast":[57],"slow":[61],"phase.":[62],"For":[63],"some":[64],"region":[65],"parameter":[68],"space,":[69],"time":[72,98,128],"independent":[74],"reaction":[77,85,108,133],"rates":[78,86,109,134],"at":[79,87,110,115,135],"boundaries.":[81,137],"Changing":[82],"continuously":[83],"boundaries,":[89,112],"however,":[90],"point":[94,117],"begins":[99],"changing":[100],"as":[101],"continuous":[103],"(nonconstant)":[104],"function":[105],"so":[113],"this":[116],"jump":[121],"in":[122],"derivative":[124],"respect":[130],"to":[131]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}