{"id":"https://openalex.org/W2024908525","doi":"https://doi.org/10.1103/physreve.72.025202","title":"Classical Loschmidt echo in chaotic many-body systems","display_name":"Classical Loschmidt echo in chaotic many-body systems","publication_year":2005,"publication_date":"2005-08-16","ids":{"openalex":"https://openalex.org/W2024908525","doi":"https://doi.org/10.1103/physreve.72.025202","mag":"2024908525","pmid":"https://pubmed.ncbi.nlm.nih.gov/16196629"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.72.025202","doi":"https://doi.org/10.1103/physreve.72.025202","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.72.025202","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/nlin/0503043","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070092655","display_name":"Gregor Veble","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I37696226","display_name":"University of Maribor","ror":"https://ror.org/01d5jce07","country_code":"SI","type":"education","lineage":["https://openalex.org/I37696226"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Gregor Veble","raw_affiliation_strings":["Physics Department, FMF, University of Ljubljana, Ljubljana, Slovenia","Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, FMF, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]},{"raw_affiliation_string":"Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia","institution_ids":["https://openalex.org/I37696226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055891902","display_name":"Toma\u017e Prosen","orcid":"https://orcid.org/0000-0001-9979-6253","observed_orcids":["https://orcid.org/0000-0001-9979-6253"]},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Toma\u017e Prosen","raw_affiliation_strings":["Physics Department, FMF, University of Ljubljana, Ljubljana, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, FMF, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9057,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.72420579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"72","issue":"2","first_page":"025202","last_page":"025202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.8529999852180481,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.8529999852180481,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.10599999874830246,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.010300000198185444,"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/loschmidt-echo","display_name":"Loschmidt echo","score":0.8899999856948853},{"id":"https://openalex.org/keywords/classical-chaos","display_name":"classical chaos","score":0.8100000023841858},{"id":"https://openalex.org/keywords/many-body-systems","display_name":"many-body systems","score":0.984000027179718},{"id":"https://openalex.org/keywords/lyapunov-exponents","display_name":"Lyapunov exponents","score":0.9070000052452087},{"id":"https://openalex.org/keywords/phase-space-density","display_name":"phase space density","score":0.7950000166893005}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.8016158938407898},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7053202390670776},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6828992366790771},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6279329061508179},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6230340003967285},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.5862758159637451},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5582834482192993},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5182885527610779},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5087741017341614},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.48689761757850647},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.478290855884552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4353514611721039},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4310515522956848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4134160876274109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27051353454589844},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18101271986961365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12113821506500244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physreve.72.025202","doi":"https://doi.org/10.1103/physreve.72.025202","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.72.025202","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:16196629","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/16196629","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. E, Statistical, nonlinear, and soft matter physics","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:nlin/0503043","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0503043","pdf_url":"https://arxiv.org/pdf/nlin/0503043","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.nlin/0503043","doi":"https://doi.org/10.48550/arxiv.nlin/0503043","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.nlin/0503043","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:nlin/0503043","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0503043","pdf_url":"https://arxiv.org/pdf/nlin/0503043","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions","score":0.5899999737739563}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2005338509","https://openalex.org/W2042617227","https://openalex.org/W2063206502","https://openalex.org/W2075969248","https://openalex.org/W2076797207","https://openalex.org/W2086818467","https://openalex.org/W2092025711","https://openalex.org/W2223529815","https://openalex.org/W4233931725"],"related_works":["https://openalex.org/W2973136064","https://openalex.org/W2012691558","https://openalex.org/W1985724481","https://openalex.org/W2009385573","https://openalex.org/W1990019600","https://openalex.org/W1995696086","https://openalex.org/W2020416548","https://openalex.org/W2033860357","https://openalex.org/W1602624896","https://openalex.org/W390249267"],"abstract_inverted_index":{"General":[0],"theoretic":[1],"approach":[2],"to":[3],"classical":[4],"Loschmidt":[5],"echoes":[6],"in":[7],"chaotic":[8],"systems":[9],"with":[10,32],"many":[11],"degrees":[12,23],"of":[13,24,43,56],"freedom":[14,25],"is":[15],"developed.":[16],"For":[17],"perturbations":[18],"that":[19],"affect":[20],"essentially":[21],"all":[22],"we":[26],"find":[27],"a":[28],"doubly":[29],"exponential":[30],"decay":[31,45],"the":[33,37,44,48,53,57],"rate":[34,46],"determined":[35],"by":[36],"largest":[38],"Lyapunov":[39],"exponent.":[40],"The":[41],"scaling":[42],"on":[47,52],"perturbation":[49],"strength":[50],"depends":[51],"continuity":[54],"properties":[55],"initial":[58],"phase-space":[59],"density.":[60]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}
