{"id":"https://openalex.org/W3200849069","doi":"https://doi.org/10.3390/e23111447","title":"Recent Advances in Conservation\u2013Dissipation Formalism for Irreversible Processes","display_name":"Recent Advances in Conservation\u2013Dissipation Formalism for Irreversible Processes","publication_year":2021,"publication_date":"2021-10-31","ids":{"openalex":"https://openalex.org/W3200849069","doi":"https://doi.org/10.3390/e23111447","mag":"3200849069","pmid":"https://pubmed.ncbi.nlm.nih.gov/34828145"},"language":"en","primary_location":{"id":"doi:10.3390/e23111447","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23111447","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1447/pdf?version=1635934236","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/11/1447/pdf?version=1635934236","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036871868","display_name":"Liangrong Peng","orcid":"https://orcid.org/0000-0002-6843-8987"},"institutions":[{"id":"https://openalex.org/I354108","display_name":"Minjiang University","ror":"https://ror.org/00s7tkw17","country_code":"CN","type":"education","lineage":["https://openalex.org/I354108"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liangrong Peng","raw_affiliation_strings":["College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, China"],"raw_orcid":"https://orcid.org/0000-0002-6843-8987","affiliations":[{"raw_affiliation_string":"College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, China","institution_ids":["https://openalex.org/I354108"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100707193","display_name":"Liu Hong","orcid":"https://orcid.org/0000-0002-4040-4005"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Hong","raw_affiliation_strings":["School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China","Sun-Yat-Sen University"],"raw_orcid":"https://orcid.org/0000-0002-4040-4005","affiliations":[{"raw_affiliation_string":"School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Sun-Yat-Sen University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13115693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"11","first_page":"1447","last_page":"1447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.988099992275238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.6369149684906006},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6048528552055359},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5662215948104858},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4987297058105469},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.47701191902160645},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4594714045524597},{"id":"https://openalex.org/keywords/boltzmann-constant","display_name":"Boltzmann constant","score":0.43919670581817627},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.4273201823234558},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3762078881263733},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.16962850093841553},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1442970335483551}],"concepts":[{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.6369149684906006},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6048528552055359},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5662215948104858},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4987297058105469},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.47701191902160645},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4594714045524597},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.43919670581817627},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.4273201823234558},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3762078881263733},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.16962850093841553},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1442970335483551},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e23111447","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23111447","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1447/pdf?version=1635934236","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:34828145","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34828145","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"mag:3200849069","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2109.07063","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:f78f606bc70d46978ac908a3b71b11f3","is_oa":true,"landing_page_url":"https://doaj.org/article/f78f606bc70d46978ac908a3b71b11f3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 11, p 1447 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/11/1447/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23111447","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8620699","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8620699","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2109.07063","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.07063","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"doi:10.3390/e23111447","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23111447","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1447/pdf?version=1635934236","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6399999856948853}],"awards":[{"id":"https://openalex.org/G2247948233","display_name":null,"funder_award_id":"2020J05172","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G3716741037","display_name":null,"funder_award_id":"mjy19033","funder_id":"https://openalex.org/F4320325946","funder_display_name":"Minjiang University"},{"id":"https://openalex.org/G6912282512","display_name":"\u9488\u5bf9\u86cb\u767d\u8d28\u805a\u96c6\u7684\u6291\u5236\u5242\u8c03\u63a7\u673a\u5236\u7684\u52a8\u529b\u5b66\u7814\u7a76","funder_award_id":"21877070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320325946","display_name":"Minjiang University","ror":"https://ror.org/00s7tkw17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3200849069.pdf","grobid_xml":"https://content.openalex.org/works/W3200849069.grobid-xml"},"referenced_works_count":117,"referenced_works":["https://openalex.org/W6188008","https://openalex.org/W130947653","https://openalex.org/W204031898","https://openalex.org/W257023618","https://openalex.org/W1516868716","https://openalex.org/W1585160083","https://openalex.org/W1907428732","https://openalex.org/W1972156133","https://openalex.org/W1976443948","https://openalex.org/W1978586665","https://openalex.org/W1979911092","https://openalex.org/W1982995858","https://openalex.org/W1983402014","https://openalex.org/W1983639022","https://openalex.org/W1984384238","https://openalex.org/W1985196555","https://openalex.org/W1988468031","https://openalex.org/W1989483163","https://openalex.org/W1990958245","https://openalex.org/W1991431080","https://openalex.org/W1996173315","https://openalex.org/W2001672996","https://openalex.org/W2005912733","https://openalex.org/W2012680428","https://openalex.org/W2017277760","https://openalex.org/W2017749252","https://openalex.org/W2026525844","https://openalex.org/W2033626558","https://openalex.org/W2040523275","https://openalex.org/W2040805915","https://openalex.org/W2044169770","https://openalex.org/W2049031884","https://openalex.org/W2051247278","https://openalex.org/W2051423069","https://openalex.org/W2052809295","https://openalex.org/W2053544741","https://openalex.org/W2057597234","https://openalex.org/W2059350070","https://openalex.org/W2066196783","https://openalex.org/W2072253464","https://openalex.org/W2076311850","https://openalex.org/W2076661734","https://openalex.org/W2082384340","https://openalex.org/W2085521187","https://openalex.org/W2091965271","https://openalex.org/W2093879786","https://openalex.org/W2101229961","https://openalex.org/W2102787760","https://openalex.org/W2114917858","https://openalex.org/W2135638746","https://openalex.org/W2142875478","https://openalex.org/W2153449759","https://openalex.org/W2156492795","https://openalex.org/W2160092086","https://openalex.org/W2163659052","https://openalex.org/W2235572757","https://openalex.org/W2236970913","https://openalex.org/W2256187839","https://openalex.org/W2263839209","https://openalex.org/W2275389232","https://openalex.org/W2277522875","https://openalex.org/W2278014507","https://openalex.org/W2303017159","https://openalex.org/W2319567536","https://openalex.org/W2340235512","https://openalex.org/W2342070830","https://openalex.org/W2357262016","https://openalex.org/W2376461899","https://openalex.org/W2402577447","https://openalex.org/W2482021336","https://openalex.org/W2531153409","https://openalex.org/W2567462744","https://openalex.org/W2570386715","https://openalex.org/W2594986812","https://openalex.org/W2601726112","https://openalex.org/W2615294037","https://openalex.org/W2615831394","https://openalex.org/W2763220013","https://openalex.org/W2774406055","https://openalex.org/W2788201707","https://openalex.org/W2801487057","https://openalex.org/W2808604221","https://openalex.org/W2885260868","https://openalex.org/W2901611963","https://openalex.org/W2907724311","https://openalex.org/W2949180208","https://openalex.org/W2950999037","https://openalex.org/W2962766992","https://openalex.org/W2962866014","https://openalex.org/W2963805900","https://openalex.org/W2963913859","https://openalex.org/W2964198882","https://openalex.org/W2982233848","https://openalex.org/W3007071425","https://openalex.org/W3008794398","https://openalex.org/W3014489358","https://openalex.org/W3021128674","https://openalex.org/W3048681608","https://openalex.org/W3097344934","https://openalex.org/W3100419363","https://openalex.org/W3101043873","https://openalex.org/W3106804198","https://openalex.org/W3110649628","https://openalex.org/W3119618717","https://openalex.org/W3158855716","https://openalex.org/W3171063472","https://openalex.org/W3206686720","https://openalex.org/W4214891591","https://openalex.org/W4230262962","https://openalex.org/W4240788980","https://openalex.org/W4245952292","https://openalex.org/W4253874936","https://openalex.org/W4255388216","https://openalex.org/W4301008129","https://openalex.org/W6694612178","https://openalex.org/W6837281136","https://openalex.org/W6873636262"],"related_works":["https://openalex.org/W3211195674","https://openalex.org/W1603475251","https://openalex.org/W2043973866","https://openalex.org/W3033784603","https://openalex.org/W3105581564","https://openalex.org/W163844095","https://openalex.org/W2007921262","https://openalex.org/W1205948967","https://openalex.org/W2038313150","https://openalex.org/W3016247583","https://openalex.org/W2054175642","https://openalex.org/W3105984456","https://openalex.org/W2036907960","https://openalex.org/W2014522992","https://openalex.org/W2012840660","https://openalex.org/W1989701713","https://openalex.org/W2170549369","https://openalex.org/W1515355638","https://openalex.org/W2003872695","https://openalex.org/W2112954852"],"abstract_inverted_index":{"The":[0,34],"main":[1],"purpose":[2],"of":[3,12,49,77,103],"this":[4],"review":[5],"is":[6],"to":[7,41,62],"summarize":[8],"the":[9,13,42,75,101],"recent":[10],"advances":[11],"Conservation-Dissipation":[14],"Formalism":[15],"(CDF),":[16],"a":[17],"new":[18],"way":[19],"for":[20,31],"constructing":[21],"both":[22],"thermodynamically":[23],"compatible":[24],"and":[25,28,59,65,88],"mathematically":[26],"stable":[27],"well-posed":[29],"models":[30,52],"irreversible":[32],"processes.":[33],"contents":[35],"include":[36],"but":[37],"are":[38,106],"not":[39],"restricted":[40],"CDF's":[43],"physical":[44],"motivations,":[45],"mathematical":[46,54],"foundations,":[47],"formulations":[48],"several":[50],"classical":[51],"in":[53,74,86,100],"physics":[55],"from":[56],"master":[57],"equations":[58,61,64],"Fokker-Planck":[60],"Boltzmann":[63],"quasi-linear":[66],"Maxwell":[67],"equations,":[68],"as":[69,71],"well":[70],"novel":[72],"applications":[73],"fields":[76],"non-Fourier":[78],"heat":[79],"conduction,":[80],"non-Newtonian":[81],"viscoelastic":[82],"fluids,":[83],"wave":[84],"propagation/transportation":[85],"geophysics":[87],"neural":[89],"science,":[90],"soft":[91],"matter":[92],"physics,":[93],"etc.":[94],"Connections":[95],"with":[96],"other":[97],"popular":[98],"theories":[99],"field":[102],"non-equilibrium":[104],"thermodynamics":[105],"examined":[107],"too.":[108]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}