{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:46:30Z","timestamp":1760147190733,"version":"build-2065373602"},"reference-count":65,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T00:00:00Z","timestamp":1673827200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["12047506","Guike ZY22096024"],"award-info":[{"award-number":["12047506","Guike ZY22096024"]}]},{"name":"Central Government Guidance Funds for Local Scientific and Technological Development","award":["12047506","Guike ZY22096024"],"award-info":[{"award-number":["12047506","Guike ZY22096024"]}]},{"name":"Brazilian agencies Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","award":["12047506","Guike ZY22096024"],"award-info":[{"award-number":["12047506","Guike ZY22096024"]}]},{"name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","award":["12047506","Guike ZY22096024"],"award-info":[{"award-number":["12047506","Guike ZY22096024"]}]},{"name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","award":["12047506","Guike ZY22096024"],"award-info":[{"award-number":["12047506","Guike ZY22096024"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We explore the quasiparticle model at the finite chemical potential related to Ru-Keng Su\u2019s distinguished contributions to the topic. In addition, we discuss the recent developments in the model, and in particular, one argues that the effective mass of the quasiparticle might attain a specific form as a function of momentum, in addition to its dependence on the temperature and chemical potential. Unlike the approaches based on the properties of underlying symmetry or the renormalization group, the momentum dependence emerges as a special solution to an integro-differential equation resulting from the underlying thermodynamic consistency. Moreover, this special solution to the problem is shown to be more general than previously explored in the literature. Instead of fitting to the lattice QCD data at the vanishing chemical potential, in this work, we adopt a \u201cbottom-up\u201d approach by assuming some analytic ansatzes that are manifestly thermodynamically consistent. The remaining physical quantities are subsequently derived, and possible implications are also addressed.<\/jats:p>","DOI":"10.3390\/sym15010241","type":"journal-article","created":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T03:10:34Z","timestamp":1673838634000},"page":"241","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Thermodynamically Consistent Quasiparticle Model at Finite Chemical Potential"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3450-1984","authenticated-orcid":false,"given":"Wei-Liang","family":"Qian","sequence":"first","affiliation":[{"name":"Escola de Engenharia de Lorena, Universidade de S\u00e3o Paulo, Lorena 12602-810, SP, Brazil"},{"name":"Faculdade de Engenharia de Guaratinguet\u00e1, Universidade Estadual Paulista, Guaratinguet\u00e1 12516-410, SP, Brazil"},{"name":"Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong-Hao","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Physics, Guangxi Normal University, Guilin 541004, China"},{"name":"Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaoyu","family":"Yin","sequence":"additional","affiliation":[{"name":"Institute for Theoretical Physics & Cosmology, Zhejiang University of Technology, Hangzhou 310032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2135-0486","authenticated-orcid":false,"given":"Ping","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of High Energy Physics, CAS, P.O. Box 918(4), Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/3-540-45792-5_6","article-title":"Lattice QCD at high temperature and density","volume":"583","author":"Karsch","year":"2002","journal-title":"Lect. Notes Phys."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Hwa, R.C., and Wang, X.N. (2004). Quark-Gluon Plasma 3, World Scientific.","DOI":"10.1142\/9789812795533"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"046001","DOI":"10.1088\/1361-6633\/aaa091","article-title":"New theories of relativistic hydrodynamics in the LHC era","volume":"81","author":"Florkowski","year":"2018","journal-title":"Rept. Prog. 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