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The contents include but are not restricted to the CDF\u2019s physical motivations, mathematical foundations, formulations of several classical models in mathematical physics from master equations and Fokker\u2013Planck equations to Boltzmann equations and quasi-linear Maxwell equations, as well as novel applications in the fields of non-Fourier heat conduction, non-Newtonian viscoelastic fluids, wave propagation\/transportation in geophysics and neural science, soft matter physics, etc. Connections with other popular theories in the field of non-equilibrium thermodynamics are examined too.<\/jats:p>","DOI":"10.3390\/e23111447","type":"journal-article","created":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T22:21:08Z","timestamp":1635805268000},"page":"1447","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Recent Advances in Conservation\u2013Dissipation Formalism for Irreversible Processes"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6843-8987","authenticated-orcid":false,"given":"Liangrong","family":"Peng","sequence":"first","affiliation":[{"name":"College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4040-4005","authenticated-orcid":false,"given":"Liu","family":"Hong","sequence":"additional","affiliation":[{"name":"School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,31]]},"reference":[{"key":"ref_1","unstructured":"De Groot, S.R., and Mazur, P. 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